Finite Group Databasebeta

← C19×#36735 #18042694

Subgroups — C19×#36735 #18042694

Order 4864.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2849C211yesmaximal, characteristic, complemented
2C19×#2847C211yesmaximal, characteristic, complemented
3C19×#2747C211yesmaximal, characteristic, complemented
4C19×#2740C211yesmaximal, characteristic, complemented
5C19×#2739C211yesmaximal, characteristic, complemented
6C19×#2737C211yesmaximal, characteristic, complemented
7C19×#2737C211yesmaximal, characteristic, complemented
8C19×#2717C211yesmaximal, characteristic, complemented
9C19×#2703C211yesmaximal, characteristic, complemented
10C19×#2697C211yesmaximal, characteristic, complemented
11C19×#2696C211yesmaximal, characteristic, complemented
12C19×#2693C211yesmaximal, characteristic, complemented
13C19×#2688C211yesmaximal, characteristic, complemented
14C19×#2686C211yesmaximal, characteristic, complemented
15C19×#2684C211yesmaximal, characteristic, complemented
16C19×#2678C211yesmaximal, characteristic, complemented
17C19×#2672C211yesmaximal, characteristic, complemented
18C19×#2670C211yesmaximal, characteristic, complemented
19C19×#2665C211yesmaximal, characteristic, complemented
20C19×#2661C211yesmaximal, characteristic, complemented
21C19×#2597C211yesmaximal, characteristic, complemented
22C19×#2578C211yesmaximal, characteristic, complemented
23C19×#2557C211yesmaximal, characteristic, complemented
24C19×#2557C211yesmaximal, characteristic, complemented
25C19×#2477C211yesmaximal, characteristic, complemented
26C19×#2476C211yesmaximal, characteristic, complemented
27C19×#2474C211yesmaximal, characteristic, complemented
28C19×#2471C211yesmaximal, characteristic, complemented
29C19×#2335C211yesmaximal, characteristic, complemented
30C19×#2333C211yesmaximal, characteristic, complemented
31C19×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C19C2211yescharacteristic
33C2×C19×#124C2211yescharacteristic
34C2×C19×#124C2211yescharacteristic
35C2×C19×#124C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#123C2211yescharacteristic
39C2×C19×#123C2211yescharacteristic
40C2×C19×#123C2211yescharacteristic, complemented
41C2×C19×C22⋊Q8C2211yescharacteristic, complemented
42C2×C19×#121C2211yescharacteristic
43C2×C19×#121C2211yescharacteristic
44C2×C19×#121C2211yescharacteristic
45C2×C19×#121C2211yescharacteristic
46C2×C19×#120C2211yescharacteristic
47C2×C19×#120C2211yescharacteristic
48C2×C19×#120C2211yescharacteristic
49C2×C19×#117C2211yescharacteristic
50C2×C19×#117C2211yescharacteristic
51C19×#400C2211yescharacteristic, complemented
52C19×#400C2211yescharacteristic, complemented
53C19×#400C2211yescharacteristic, complemented
54C19×#400C2211yescharacteristic, complemented
55C19×#400C2211yescharacteristic, complemented
56C19×#399C2211yescharacteristic, complemented
57C19×#398C2211yescharacteristic, complemented
58C19×#398C2211yescharacteristic, complemented
59C19×#397C2211yescharacteristic
60C19×#397C2211yescharacteristic
61C19×#397C2211yescharacteristic
62C19×#397C2211yescharacteristic
63C19×#397C2211yescharacteristic
64C19×#397C2211yescharacteristic, complemented
65C19×#397C2211yescharacteristic, complemented
66C19×#397C2211yescharacteristic, complemented
67C19×#397C2211yescharacteristic, complemented
68C19×#397C2211yescharacteristic, complemented
69C19×#397C2211yescharacteristic, complemented
70C19×#397C2211yescharacteristic, complemented
71C19×#396C2211yescharacteristic
72C19×#396C2211yescharacteristic
73C19×#396C2211yescharacteristic
74C19×#396C2211yescharacteristic, complemented
75C19×#395C2211yescharacteristic, complemented
76C19×#395C2211yescharacteristic, complemented
77C19×#395C2211yescharacteristic, complemented
78C19×#394C2211yescharacteristic
79C19×#394C2211yescharacteristic
80C19×#394C2211yescharacteristic
81C19×#394C2211yescharacteristic
82C19×#394C2211yescharacteristic
83C19×#394C2211yescharacteristic
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic, complemented
87C19×#394C2211yescharacteristic, complemented
88C19×#393C2211yescharacteristic
89C19×#393C2211yescharacteristic
90C19×#393C2211yescharacteristic
91C19×#393C2211yescharacteristic, complemented
92C19×#393C2211yescharacteristic, complemented
93C19×#392C2211yescharacteristic
94C19×#392C2211yescharacteristic
95C19×#392C2211yescharacteristic
96C19×#392C2211yescharacteristic
97C19×#392C2211yescharacteristic
98C19×#392C2211yescharacteristic, complemented
99C19×#391C2211yescharacteristic, complemented
100C19×#391C2211yescharacteristic, complemented
101C19×#390C2211yescharacteristic
102C19×#390C2211yescharacteristic
103C19×#390C2211yescharacteristic
104C19×#390C2211yescharacteristic
105C19×#390C2211yescharacteristic
106C19×#390C2211yescharacteristic, complemented
107C19×#390C2211yescharacteristic, complemented
108C19×#389C2211yescharacteristic, complemented
109C19×#388C2211yescharacteristic
110C19×#388C2211yescharacteristic
111C19×#388C2211yescharacteristic
112C19×#388C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic, complemented
117C19×#388C2211yescharacteristic, complemented
118C19×#388C2211yescharacteristic, complemented
119C19×#388C2211yescharacteristic, complemented
120C19×#388C2211yescharacteristic, complemented
121C19×#388C2211yescharacteristic, complemented
122C19×#388C2211yescharacteristic, complemented
123C19×#388C2211yescharacteristic, complemented
124C19×#388C2211yescharacteristic, complemented
125C19×#387C2211yescharacteristic, complemented
126C19×#387C2211yescharacteristic, complemented
127C19×#387C2211yescharacteristic, complemented
128C19×#387C2211yescharacteristic, complemented
129C19×#387C2211yescharacteristic, complemented
130C19×#387C2211yescharacteristic, complemented
131C19×#387C2211yescharacteristic, complemented
132C19×#387C2211yescharacteristic, complemented
133C19×#387C2211yescharacteristic, complemented
134C19×#387C2211yescharacteristic, complemented
135C19×#387C2211yescharacteristic, complemented
136C19×#387C2211yescharacteristic, complemented
137C19×#386C2211yescharacteristic
138C19×#386C2211yescharacteristic
139C19×#386C2211yescharacteristic
140C19×#386C2211yescharacteristic
141C19×#386C2211yescharacteristic
142C19×#386C2211yescharacteristic
143C19×#386C2211yescharacteristic
144C19×#386C2211yescharacteristic
145C19×#386C2211yescharacteristic
146C19×#386C2211yescharacteristic
147C19×#386C2211yescharacteristic
148C19×#386C2211yescharacteristic
149C19×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic, complemented
154C19×#386C2211yescharacteristic, complemented
155C19×#386C2211yescharacteristic, complemented
156C19×#386C2211yescharacteristic, complemented
157C19×#385C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic, complemented
162C19×#385C2211yescharacteristic, complemented
163C19×#383C2211yescharacteristic, complemented
164C19×#381C2211yescharacteristic
165C19×#381C2211yescharacteristic
166C19×#381C2211yescharacteristic
167C19×#381C2211yescharacteristic
168C19×#380C2211yescharacteristic
169C19×#380C2211yescharacteristic
170C19×#380C2211yescharacteristic
171C19×#380C2211yescharacteristic
172C19×#380C2211yescharacteristic
173C19×#380C2211yescharacteristic
174C19×#380C2211yescharacteristic
175C19×#380C2211yescharacteristic, complemented
176C19×#379C2211yescharacteristic
177C19×#379C2211yescharacteristic
178C19×#379C2211yescharacteristic
179C4×C4⋊C4×C19C2211yescharacteristic, complemented
180C4×C22⋊C4×C19C2211yescharacteristic
181C4×C22⋊C4×C19C2211yescharacteristic
182C4×C22⋊C4×C19C2211yescharacteristic
183C4×C22⋊C4×C19C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic, complemented
185C4×C22⋊C4×C19C2211yescharacteristic, complemented
186C4×C22⋊C4×C19C2211yescharacteristic, complemented
187C25×C19C2311yescharacteristic
188C22×Q8×C19C2311yescharacteristic
189C22×Q8×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C22×D4×C19C2311yescharacteristic
192C22×D4×C19C2311yescharacteristic
193C22×D4×C19C2311yescharacteristic
194C22×D4×C19C2311yescharacteristic
195C22×D4×C19C2311yescharacteristic
196C22×D4×C19C2311yescharacteristic
197C22×D4×C19C2311yescharacteristic
198C22×D4×C19C2311yescharacteristic
199C22×D4×C19C2311yescharacteristic
200C22×D4×C19C2311yescharacteristic
201C22×D4×C19C2311yescharacteristic
202C23×C4×C19—24no—
203C23×C4×C19—42no—
204C23×C4×C19—42no—
205C23×C4×C19C2311yescharacteristic
206C23×C4×C19C2311yescharacteristic
207C23×C4×C19C2311yescharacteristic
208C23×C4×C19C2311yescharacteristic
209C23×C4×C19C2311yescharacteristic
210C23×C4×C19C2311yescharacteristic
211C23×C4×C19C2311yescharacteristic
212C23×C4×C19C2311yescharacteristic
213C23×C4×C19C2311yescharacteristic
214C19×#124—42no—
215C19×#124—42no—
216C19×#124—42no—
217C19×#123—24no—
218C19×#123—42no—
219C19×#123—42no—
220C19×#123—42no—
221C19×#123—42no—
222C19×C22⋊Q8—42no—
223C19×#121—24no—
224C19×#121—42no—
225C19×#121—42no—
226C19×#121—42no—
227C19×#120—42no—
228C19×#120—42no—
229C19×#120—42no—
230C19×#117—42no—
231C19×#117—42no—
232C2×C4⋊C4×C19C2311yescharacteristic
233C2×C4⋊C4×C19C2311yescharacteristic
234C2×C4⋊C4×C19C2311yescharacteristic
235C2×C4⋊C4×C19C2311yescharacteristic
236C2×C4⋊C4×C19C2311yescharacteristic
237C2×C4⋊C4×C19C2311yescharacteristic
238C2×C4⋊C4×C19C2311yescharacteristic
239C2×C4⋊C4×C19C2311yescharacteristic
240C2×C4⋊C4×C19C2311yescharacteristic
241C2×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊C4×C19C2311yescharacteristic
243C2×C4⋊C4×C19C2311yescharacteristic
244C2×C4⋊C4×C19C2311yescharacteristic
245C2×C4⋊C4×C19C2311yescharacteristic
246C2×C4⋊C4×C19C2311yescharacteristic
247C2×C4⋊C4×C19C2311yescharacteristic
248C2×C4⋊C4×C19C2311yescharacteristic
249C2×C4⋊C4×C19C2311yescharacteristic
250C2×C4⋊C4×C19C2311yescharacteristic
251C2×C4⋊C4×C19C2311yescharacteristic
252C2×C4⋊C4×C19C2311yescharacteristic
253C2×C4⋊C4×C19C2311yescharacteristic
254C2×C4⋊C4×C19C2311yescharacteristic
255C2×C4⋊C4×C19C2311yescharacteristic
256C2×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×C22⋊C4×C19C2311yescharacteristic
298C2×C22⋊C4×C19C2311yescharacteristic
299C2×C22⋊C4×C19C2311yescharacteristic
300C2×C22⋊C4×C19C2311yescharacteristic
301C2×C22⋊C4×C19C2311yescharacteristic
302C2×C22⋊C4×C19C2311yescharacteristic
303C2×C22⋊C4×C19C2311yescharacteristic
304C2×C22⋊C4×C19C2311yescharacteristic
305C2×C22⋊C4×C19C2311yescharacteristic
306C2×C22⋊C4×C19C2311yescharacteristic
307C2×C22⋊C4×C19C2311yescharacteristic
308C2×C22⋊C4×C19C2311yescharacteristic
309C2×C22⋊C4×C19C2311yescharacteristic
310C2×C42×C19C2311yescharacteristic
311C2×C42×C19C2311yescharacteristic
312C2×C42×C19C2311yescharacteristic
313C2×C42×C19C2311yescharacteristic
314C2×C42×C19C2311yescharacteristic
315C2×C42×C19C2311yescharacteristic
316C2×C42×C19C2311yescharacteristic
317C2×C42×C19C2311yescharacteristic
318C2×C42×C19C2311yescharacteristic
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
357C19×#95C2311yescharacteristic
358C19×#95C2311yescharacteristic
359C19×#95C2311yescharacteristic
360C19×#95C2311yescharacteristic
361C19×#95C2311yescharacteristic
362C19×#95C2311yescharacteristic
363C24×C19—22no—
364C24×C19—22no—
365C24×C19—22no—
366C24×C19—41no—
367C24×C19—41no—
368C24×C19—41no—
369C24×C19—41no—
370C24×C19C2411yescharacteristic
371C24×C19C2411yescharacteristic
372C24×C19C2411yescharacteristic
373C24×C19C2411yescharacteristic
374C24×C19C2411yescharacteristic
375C24×C19C2411yescharacteristic
376C2×Q8×C19—41no—
377C2×Q8×C19—41no—
378C2×Q8×C19—41no—
379C2×Q8×C19—41no—
380C2×Q8×C19—41no—
381C2×Q8×C19—41no—
382C2×D4×C19—22no—
383C2×D4×C19—22no—
384C2×D4×C19—22no—
385C2×D4×C19—22no—
386C2×D4×C19—22no—
387C2×D4×C19—22no—
388C2×D4×C19—22no—
389C2×D4×C19—22no—
390C2×D4×C19—22no—
391C2×D4×C19—22no—
392C2×D4×C19—41no—
393C2×D4×C19—41no—
394C2×D4×C19—41no—
395C2×D4×C19—41no—
396C2×D4×C19—41no—
397C2×D4×C19—41no—
398C2×D4×C19—41no—
399C2×D4×C19—41no—
400C2×D4×C19—41no—
401C2×D4×C19—41no—
402C2×D4×C19—41no—
403C2×D4×C19—41no—
404C2×D4×C19—41no—
405C2×D4×C19—41no—
406C2×D4×C19—41no—
407C2×D4×C19—41no—
408C2×D4×C19—41no—
409C2×D4×C19—41no—
410C2×D4×C19—41no—
411C2×D4×C19—41no—
412C2×D4×C19—41no—
413C2×D4×C19—41no—
414C2×D4×C19—41no—
415C2×D4×C19—41no—
416C2×D4×C19—41no—
417C2×D4×C19—41no—
418C22×C4×C19—22no—
419C22×C4×C19—22no—
420C22×C4×C19—22no—
421C22×C4×C19—22no—
422C22×C4×C19—22no—
423C22×C4×C19—22no—
424C22×C4×C19—22no—
425C22×C4×C19—22no—
426C22×C4×C19—22no—
427C22×C4×C19—22no—
428C22×C4×C19—41no—
429C22×C4×C19—41no—
430C22×C4×C19—41no—
431C22×C4×C19—41no—
432C22×C4×C19—41no—
433C22×C4×C19—41no—
434C22×C4×C19—41no—
435C22×C4×C19—41no—
436C22×C4×C19—41no—
437C22×C4×C19—41no—
438C22×C4×C19—41no—
439C22×C4×C19—41no—
440C22×C4×C19—41no—
441C22×C4×C19—41no—
442C22×C4×C19—41no—
443C22×C4×C19—41no—
444C22×C4×C19—416no—
445C22×C4×C19#4114yes—
446C22×C4×C19C2411yescharacteristic
447C22×C4×C19C2411yescharacteristic
448C22×C4×C19C2411yescharacteristic
449C22×C4×C19C2411yescharacteristic
450C22×C4×C19C2411yescharacteristic
451C22×C4×C19C2411yescharacteristic
452C22×C4×C19C2411yescharacteristic
453C22×C4×C19C2411yescharacteristic
454C22×C4×C19C2411yescharacteristic
455C22×C4×C19C2411yescharacteristic
456C22×C4×C19C2411yescharacteristic
457C22×C4×C19C2411yescharacteristic
458C22×C4×C19C2411yescharacteristic
459C22×C4×C19C2411yescharacteristic
460C22×C4×C19C2411yescharacteristic
461C22×C4×C19C2411yescharacteristic
462C22×C4×C19C2411yescharacteristic
463C22×C4×C19C2411yescharacteristic
464C22×C4×C19C2411yescharacteristic
465C22×C4×C19C2411yescharacteristic
466C22×C4×C19C2411yescharacteristic
467C22×C4×C19C2411yescharacteristic
468C22×C4×C19C2411yescharacteristic
469C22×C4×C19C2411yescharacteristic
470C22×C4×C19C2411yescharacteristic
471C4⋊C4×C19—22no—
472C4⋊C4×C19—22no—
473C4⋊C4×C19—22no—
474C4⋊C4×C19—22no—
475C4⋊C4×C19—22no—
476C4⋊C4×C19—22no—
477C4⋊C4×C19—41no—
478C4⋊C4×C19—41no—
479C4⋊C4×C19—41no—
480C4⋊C4×C19—41no—
481C4⋊C4×C19—41no—
482C4⋊C4×C19—41no—
483C4⋊C4×C19—41no—
484C4⋊C4×C19—41no—
485C4⋊C4×C19—41no—
486C4⋊C4×C19—41no—
487C4⋊C4×C19—41no—
488C4⋊C4×C19—41no—
489C4⋊C4×C19—41no—
490C4⋊C4×C19—41no—
491C4⋊C4×C19—41no—
492C4⋊C4×C19—41no—
493C4⋊C4×C19—41no—
494C4⋊C4×C19—41no—
495C22⋊C4×C19—22no—
496C22⋊C4×C19—22no—
497C22⋊C4×C19—22no—
498C22⋊C4×C19—22no—
499C22⋊C4×C19—22no—
500C22⋊C4×C19—22no—
501C22⋊C4×C19—22no—
502C22⋊C4×C19—22no—
503C22⋊C4×C19—22no—
504C22⋊C4×C19—22no—
505C22⋊C4×C19—22no—
506C22⋊C4×C19—22no—
507C22⋊C4×C19—22no—
508C22⋊C4×C19—22no—
509C22⋊C4×C19—22no—
510C22⋊C4×C19—22no—
511C22⋊C4×C19—41no—
512C22⋊C4×C19—41no—
513C22⋊C4×C19—41no—
514C22⋊C4×C19—41no—
515C22⋊C4×C19—41no—
516C22⋊C4×C19—41no—
517C22⋊C4×C19—41no—
518C22⋊C4×C19—41no—
519C22⋊C4×C19—41no—
520C22⋊C4×C19—41no—
521C22⋊C4×C19—41no—
522C22⋊C4×C19—41no—
523C22⋊C4×C19—41no—
524C22⋊C4×C19—41no—
525C22⋊C4×C19—41no—
526C22⋊C4×C19—41no—
527C22⋊C4×C19—41no—
528C22⋊C4×C19—41no—
529C22⋊C4×C19—41no—
530C22⋊C4×C19—41no—
531C22⋊C4×C19—41no—
532C22⋊C4×C19—41no—
533C22⋊C4×C19—41no—
534C22⋊C4×C19—41no—
535C22⋊C4×C19—41no—
536C22⋊C4×C19—41no—
537C22⋊C4×C19—41no—
538C22⋊C4×C19—41no—
539C22⋊C4×C19—41no—
540C22⋊C4×C19—41no—
541C22⋊C4×C19—41no—
542C22⋊C4×C19—41no—
543C22⋊C4×C19—41no—
544C22⋊C4×C19—41no—
545C22⋊C4×C19—41no—
546C22⋊C4×C19—41no—
547C22⋊C4×C19—41no—
548C22⋊C4×C19—41no—
549C42×C19—41no—
550C42×C19—41no—
551C42×C19—41no—
552C42×C19—41no—
553C42×C19—41no—
554C42×C19—41no—
555C42×C19—41no—
556C42×C19—41no—
557C42×C19—41no—
558#36735C1911yesmaximal, characteristic, direct product factor, Sylow
559C23×C19—21no—
560C23×C19—21no—
561C23×C19—21no—
562C23×C19—21no—
563C23×C19—21no—
564C23×C19—21no—
565C23×C19—21no—
566C23×C19—21no—
567C23×C19—21no—
568C23×C19—21no—
569C23×C19—21no—
570C23×C19—21no—
571C23×C19—21no—
572C23×C19—21no—
573C23×C19—21no—
574C23×C19—21no—
575C23×C19—21no—
576C23×C19—21no—
577C23×C19—21no—
578C23×C19—21no—
579C23×C19—21no—
580C23×C19—21no—
581C23×C19—21no—
582C23×C19—21no—
583C23×C19—21no—
584C23×C19—21no—
585C23×C19—21no—
586C23×C19—21no—
587C23×C19—21no—
588C23×C19—21no—
589C23×C19—21no—
590C23×C19—21no—
591C23×C19—21no—
592C23×C19—21no—
593C23×C19—21no—
594C23×C19—21no—
595C23×C19—21no—
596C23×C19—21no—
597C23×C19—21no—
598C23×C19—44no—
599C23×C19—44no—
600C23×C19—44no—
601C23×C19—44no—
602C23×C19—44no—
603C23×C19—44no—
604C23×C19—44no—
605C23×C19C2×#4112yes—
606C23×C19H(5,𝔽2)12yes—
607C23×C19H(5,𝔽2)12yes—
608C23×C19C2511yescharacteristic
609Q8×C19—82no—
610Q8×C19—82no—
611D4×C19—82no—
612D4×C19—82no—
613D4×C19—82no—
614D4×C19—82no—
615D4×C19—82no—
616D4×C19—82no—
617D4×C19—82no—
618D4×C19—82no—
619D4×C19—82no—
620D4×C19—82no—
621D4×C19—82no—
622D4×C19—82no—
623C2×C4×C19—28no—
624C2×C4×C19—21no—
625C2×C4×C19—21no—
626C2×C4×C19—21no—
627C2×C4×C19—21no—
628C2×C4×C19—21no—
629C2×C4×C19—21no—
630C2×C4×C19—21no—
631C2×C4×C19—21no—
632C2×C4×C19—21no—
633C2×C4×C19—21no—
634C2×C4×C19—21no—
635C2×C4×C19—21no—
636C2×C4×C19—21no—
637C2×C4×C19—21no—
638C2×C4×C19—21no—
639C2×C4×C19—21no—
640C2×C4×C19—21no—
641C2×C4×C19—21no—
642C2×C4×C19—21no—
643C2×C4×C19—21no—
644C2×C4×C19—21no—
645C2×C4×C19—21no—
646C2×C4×C19—21no—
647C2×C4×C19—21no—
648C2×C4×C19—21no—
649C2×C4×C19—21no—
650C2×C4×C19—21no—
651C2×C4×C19—21no—
652C2×C4×C19—21no—
653C2×C4×C19—21no—
654C2×C4×C19—21no—
655C2×C4×C19—21no—
656C2×C4×C19—21no—
657C2×C4×C19—21no—
658C2×C4×C19—21no—
659C2×C4×C19—21no—
660C2×C4×C19—21no—
661C2×C4×C19—21no—
662C2×C4×C19—21no—
663C2×C4×C19—21no—
664C2×C4×C19—21no—
665C2×C4×C19—21no—
666C2×C4×C19—21no—
667C2×C4×C19—21no—
668C2×C4×C19—21no—
669C2×C4×C19—21no—
670C2×C4×C19—21no—
671C2×C4×C19—21no—
672C2×C4×C19—21no—
673C2×C4×C19—21no—
674C2×C4×C19—21no—
675C2×C4×C19—21no—
676C2×C4×C19—21no—
677C2×C4×C19—21no—
678C2×C4×C19—21no—
679C2×C4×C19—21no—
680C2×C4×C19—21no—
681C2×C4×C19—21no—
682C2×C4×C19—21no—
683C2×C4×C19—21no—
684C2×C4×C19—21no—
685C2×C4×C19—21no—
686C2×C4×C19—21no—
687C2×C4×C19—21no—
688C2×C4×C19—21no—
689C2×C4×C19—21no—
690C2×C4×C19—21no—
691C2×C4×C19—21no—
692C2×C4×C19—21no—
693C2×C4×C19—21no—
694C2×C4×C19—21no—
695C2×C4×C19—21no—
696C2×C4×C19—44no—
697C2×C4×C19—44no—
698C2×C4×C19—44no—
699C2×C4×C19—44no—
700C2×C4×C19—44no—
701C2×C4×C19—82no—
702C2×C4×C19—82no—
703C2×C4×C19—82no—
704C2×C4×C19C2×#4112yes—
705C2×C4×C19C2×#4112yes—
706C2×C4×C19H(5,𝔽2)12yes—
707#2849C2×C1911yescharacteristic, complemented
708#2847C2×C1911yescharacteristic, complemented
709#2747C2×C1911yescharacteristic, complemented
710#2740C2×C1911yescharacteristic, complemented
711#2739C2×C1911yescharacteristic, complemented
712#2737C2×C1911yescharacteristic, complemented
713#2737C2×C1911yescharacteristic, complemented
714#2717C2×C1911yescharacteristic, complemented
715#2703C2×C1911yescharacteristic, complemented
716#2697C2×C1911yescharacteristic, complemented
717#2696C2×C1911yescharacteristic, complemented
718#2693C2×C1911yescharacteristic, complemented
719#2688C2×C1911yescharacteristic, complemented
720#2686C2×C1911yescharacteristic, complemented
721#2684C2×C1911yescharacteristic, complemented
722#2678C2×C1911yescharacteristic, complemented
723#2672C2×C1911yescharacteristic, complemented
724#2670C2×C1911yescharacteristic, complemented
725#2665C2×C1911yescharacteristic, complemented
726#2661C2×C1911yescharacteristic, complemented
727#2597C2×C1911yescharacteristic, complemented
728#2578C2×C1911yescharacteristic, complemented
729#2557C2×C1911yescharacteristic, complemented
730#2557C2×C1911yescharacteristic, complemented
731#2477C2×C1911yescharacteristic, complemented
732#2476C2×C1911yescharacteristic, complemented
733#2474C2×C1911yescharacteristic, complemented
734#2471C2×C1911yescharacteristic, complemented
735#2335C2×C1911yescharacteristic, complemented
736#2333C2×C1911yescharacteristic, complemented
737#2280C2×C1911yescharacteristic, complemented
738C22×C19—22no—
739C22×C19—22no—
740C22×C19—22no—
741C22×C19—22no—
742C22×C19—22no—
743C22×C19—22no—
744C22×C19—22no—
745C22×C19—22no—
746C22×C19—22no—
747C22×C19—416no—
748C22×C19—41no—
749C22×C19—41no—
750C22×C19—41no—
751C22×C19—41no—
752C22×C19—41no—
753C22×C19—41no—
754C22×C19—41no—
755C22×C19—41no—
756C22×C19—41no—
757C22×C19—41no—
758C22×C19—41no—
759C22×C19—41no—
760C22×C19—41no—
761C22×C19—41no—
762C22×C19—41no—
763C22×C19—41no—
764C22×C19—41no—
765C22×C19—41no—
766C22×C19—41no—
767C22×C19—41no—
768C22×C19—41no—
769C22×C19—41no—
770C22×C19—41no—
771C22×C19—41no—
772C22×C19—41no—
773C22×C19—41no—
774C22×C19—41no—
775C22×C19—41no—
776C22×C19—41no—
777C22×C19—41no—
778C22×C19—41no—
779C22×C19—41no—
780C22×C19—41no—
781C22×C19C22×#4111yescharacteristic
782C22×C19C2×H(5,𝔽2)11yescharacteristic
783C22×C19C2×H(5,𝔽2)11yescharacteristic
784C22×C19C2×H(5,𝔽2)11yescharacteristic
785C22×C19#58511yescharacteristic
786C22×C19#58511yescharacteristic
787C22×C19#58511yescharacteristic
788C4×C19—22no—
789C4×C19—22no—
790C4×C19—22no—
791C4×C19—41no—
792C4×C19—41no—
793C4×C19—41no—
794C4×C19—41no—
795C4×C19—41no—
796C4×C19—41no—
797C4×C19—41no—
798C4×C19—41no—
799C4×C19—41no—
800C4×C19—41no—
801C4×C19—41no—
802C4×C19—41no—
803C4×C19—41no—
804C4×C19—41no—
805C4×C19—41no—
806C4×C19—41no—
807C4×C19—41no—
808C4×C19—41no—
809C4×C19—41no—
810C4×C19—41no—
811C4×C19—41no—
812C4×C19—41no—
813C24×C4C22×C1911yescharacteristic
814C2×#124C22×C1911yescharacteristic
815C2×#124C22×C1911yescharacteristic
816C2×#124C22×C1911yescharacteristic
817C2×#123C22×C1911yescharacteristic
818C2×#123C22×C1911yescharacteristic
819C2×#123C22×C1911yescharacteristic
820C2×#123C22×C1911yescharacteristic
821C2×#123C22×C1911yescharacteristic, complemented
822C2×C22⋊Q8C22×C1911yescharacteristic, complemented
823C2×#121C22×C1911yescharacteristic
824C2×#121C22×C1911yescharacteristic
825C2×#121C22×C1911yescharacteristic
826C2×#121C22×C1911yescharacteristic
827C2×#120C22×C1911yescharacteristic
828C2×#120C22×C1911yescharacteristic
829C2×#120C22×C1911yescharacteristic
830C2×#117C22×C1911yescharacteristic
831C2×#117C22×C1911yescharacteristic
832#400C22×C1911yescharacteristic, complemented
833#400C22×C1911yescharacteristic, complemented
834#400C22×C1911yescharacteristic, complemented
835#400C22×C1911yescharacteristic, complemented
836#400C22×C1911yescharacteristic, complemented
837#399C22×C1911yescharacteristic, complemented
838#398C22×C1911yescharacteristic, complemented
839#398C22×C1911yescharacteristic, complemented
840#397C22×C1911yescharacteristic
841#397C22×C1911yescharacteristic
842#397C22×C1911yescharacteristic
843#397C22×C1911yescharacteristic
844#397C22×C1911yescharacteristic
845#397C22×C1911yescharacteristic, complemented
846#397C22×C1911yescharacteristic, complemented
847#397C22×C1911yescharacteristic, complemented
848#397C22×C1911yescharacteristic, complemented
849#397C22×C1911yescharacteristic, complemented
850#397C22×C1911yescharacteristic, complemented
851#397C22×C1911yescharacteristic, complemented
852#396C22×C1911yescharacteristic
853#396C22×C1911yescharacteristic
854#396C22×C1911yescharacteristic
855#396C22×C1911yescharacteristic, complemented
856#395C22×C1911yescharacteristic, complemented
857#395C22×C1911yescharacteristic, complemented
858#395C22×C1911yescharacteristic, complemented
859#394C22×C1911yescharacteristic
860#394C22×C1911yescharacteristic
861#394C22×C1911yescharacteristic
862#394C22×C1911yescharacteristic
863#394C22×C1911yescharacteristic
864#394C22×C1911yescharacteristic
865#394C22×C1911yescharacteristic
866#394C22×C1911yescharacteristic
867#394C22×C1911yescharacteristic, complemented
868#394C22×C1911yescharacteristic, complemented
869#393C22×C1911yescharacteristic
870#393C22×C1911yescharacteristic
871#393C22×C1911yescharacteristic
872#393C22×C1911yescharacteristic, complemented
873#393C22×C1911yescharacteristic, complemented
874#392C22×C1911yescharacteristic
875#392C22×C1911yescharacteristic
876#392C22×C1911yescharacteristic
877#392C22×C1911yescharacteristic
878#392C22×C1911yescharacteristic
879#392C22×C1911yescharacteristic, complemented
880#391C22×C1911yescharacteristic, complemented
881#391C22×C1911yescharacteristic, complemented
882#390C22×C1911yescharacteristic
883#390C22×C1911yescharacteristic
884#390C22×C1911yescharacteristic
885#390C22×C1911yescharacteristic
886#390C22×C1911yescharacteristic
887#390C22×C1911yescharacteristic, complemented
888#390C22×C1911yescharacteristic, complemented
889#389C22×C1911yescharacteristic, complemented
890#388C22×C1911yescharacteristic
891#388C22×C1911yescharacteristic
892#388C22×C1911yescharacteristic
893#388C22×C1911yescharacteristic
894#388C22×C1911yescharacteristic
895#388C22×C1911yescharacteristic
896#388C22×C1911yescharacteristic
897#388C22×C1911yescharacteristic, complemented
898#388C22×C1911yescharacteristic, complemented
899#388C22×C1911yescharacteristic, complemented
900#388C22×C1911yescharacteristic, complemented
901#388C22×C1911yescharacteristic, complemented
902#388C22×C1911yescharacteristic, complemented
903#388C22×C1911yescharacteristic, complemented
904#388C22×C1911yescharacteristic, complemented
905#388C22×C1911yescharacteristic, complemented
906#387C22×C1911yescharacteristic, complemented
907#387C22×C1911yescharacteristic, complemented
908#387C22×C1911yescharacteristic, complemented
909#387C22×C1911yescharacteristic, complemented
910#387C22×C1911yescharacteristic, complemented
911#387C22×C1911yescharacteristic, complemented
912#387C22×C1911yescharacteristic, complemented
913#387C22×C1911yescharacteristic, complemented
914#387C22×C1911yescharacteristic, complemented
915#387C22×C1911yescharacteristic, complemented
916#387C22×C1911yescharacteristic, complemented
917#387C22×C1911yescharacteristic, complemented
918#386C22×C1911yescharacteristic
919#386C22×C1911yescharacteristic
920#386C22×C1911yescharacteristic
921#386C22×C1911yescharacteristic
922#386C22×C1911yescharacteristic
923#386C22×C1911yescharacteristic
924#386C22×C1911yescharacteristic
925#386C22×C1911yescharacteristic
926#386C22×C1911yescharacteristic
927#386C22×C1911yescharacteristic
928#386C22×C1911yescharacteristic
929#386C22×C1911yescharacteristic
930#386C22×C1911yescharacteristic
931#386C22×C1911yescharacteristic
932#386C22×C1911yescharacteristic
933#386C22×C1911yescharacteristic
934#386C22×C1911yescharacteristic, complemented
935#386C22×C1911yescharacteristic, complemented
936#386C22×C1911yescharacteristic, complemented
937#386C22×C1911yescharacteristic, complemented
938#385C22×C1911yescharacteristic
939#385C22×C1911yescharacteristic
940#385C22×C1911yescharacteristic
941#385C22×C1911yescharacteristic
942#385C22×C1911yescharacteristic, complemented
943#385C22×C1911yescharacteristic, complemented
944#383C22×C1911yescharacteristic, complemented
945#381C22×C1911yescharacteristic
946#381C22×C1911yescharacteristic
947#381C22×C1911yescharacteristic
948#381C22×C1911yescharacteristic
949#380C22×C1911yescharacteristic
950#380C22×C1911yescharacteristic
951#380C22×C1911yescharacteristic
952#380C22×C1911yescharacteristic
953#380C22×C1911yescharacteristic
954#380C22×C1911yescharacteristic
955#380C22×C1911yescharacteristic
956#380C22×C1911yescharacteristic, complemented
957#379C22×C1911yescharacteristic
958#379C22×C1911yescharacteristic
959#379C22×C1911yescharacteristic
960C4×C4⋊C4C22×C1911yescharacteristic, complemented
961C4×C22⋊C4C22×C1911yescharacteristic
962C4×C22⋊C4C22×C1911yescharacteristic
963C4×C22⋊C4C22×C1911yescharacteristic
964C4×C22⋊C4C22×C1911yescharacteristic
965C4×C22⋊C4C22×C1911yescharacteristic, complemented
966C4×C22⋊C4C22×C1911yescharacteristic, complemented
967C4×C22⋊C4C22×C1911yescharacteristic, complemented
968C2×C19—42no—
969C2×C19—42no—
970C2×C19—42no—
971C2×C19—81no—
972C2×C19—81no—
973C2×C19—81no—
974C2×C19#345511yescharacteristic
975C2×C19#349011yescharacteristic
976C2×C19#349411yescharacteristic
977C2×C19#353311yescharacteristic
978C2×C19#353411yescharacteristic
979C2×C19#354011yescharacteristic
980C2×C19#354211yescharacteristic
981C25C23×C1911yescharacteristic
982C22×Q8C23×C1911yescharacteristic
983C22×Q8C23×C1911yescharacteristic
984C22×D4C23×C1911yescharacteristic
985C22×D4C23×C1911yescharacteristic
986C22×D4C23×C1911yescharacteristic
987C22×D4C23×C1911yescharacteristic
988C22×D4C23×C1911yescharacteristic
989C22×D4C23×C1911yescharacteristic
990C22×D4C23×C1911yescharacteristic
991C22×D4C23×C1911yescharacteristic
992C22×D4C23×C1911yescharacteristic
993C22×D4C23×C1911yescharacteristic
994C22×D4C23×C1911yescharacteristic
995C22×D4C23×C1911yescharacteristic
996C23×C4—24no—
997C23×C4—42no—
998C23×C4—42no—
999C23×C4C23×C1911yescharacteristic
1000C23×C4C23×C1911yescharacteristic
1001C23×C4C23×C1911yescharacteristic
1002C23×C4C23×C1911yescharacteristic
1003C23×C4C23×C1911yescharacteristic
1004C23×C4C23×C1911yescharacteristic
1005C23×C4C23×C1911yescharacteristic
1006C23×C4C23×C1911yescharacteristic
1007C23×C4C23×C1911yescharacteristic
1008#124—42no—
1009#124—42no—
1010#124—42no—
1011#123—24no—
1012#123—42no—
1013#123—42no—
1014#123—42no—
1015#123—42no—
1016C22⋊Q8—42no—
1017#121—24no—
1018#121—42no—
1019#121—42no—
1020#121—42no—
1021#120—42no—
1022#120—42no—
1023#120—42no—
1024#117—42no—
1025#117—42no—
1026C2×C4⋊C4C23×C1911yescharacteristic
1027C2×C4⋊C4C23×C1911yescharacteristic
1028C2×C4⋊C4C23×C1911yescharacteristic
1029C2×C4⋊C4C23×C1911yescharacteristic
1030C2×C4⋊C4C23×C1911yescharacteristic
1031C2×C4⋊C4C23×C1911yescharacteristic
1032C2×C4⋊C4C23×C1911yescharacteristic
1033C2×C4⋊C4C23×C1911yescharacteristic
1034C2×C4⋊C4C23×C1911yescharacteristic
1035C2×C4⋊C4C23×C1911yescharacteristic
1036C2×C4⋊C4C23×C1911yescharacteristic
1037C2×C4⋊C4C23×C1911yescharacteristic
1038C2×C4⋊C4C23×C1911yescharacteristic
1039C2×C4⋊C4C23×C1911yescharacteristic
1040C2×C4⋊C4C23×C1911yescharacteristic
1041C2×C4⋊C4C23×C1911yescharacteristic
1042C2×C4⋊C4C23×C1911yescharacteristic
1043C2×C4⋊C4C23×C1911yescharacteristic
1044C2×C4⋊C4C23×C1911yescharacteristic
1045C2×C4⋊C4C23×C1911yescharacteristic
1046C2×C4⋊C4C23×C1911yescharacteristic
1047C2×C4⋊C4C23×C1911yescharacteristic
1048C2×C4⋊C4C23×C1911yescharacteristic
1049C2×C4⋊C4C23×C1911yescharacteristic
1050C2×C22⋊C4C23×C1911yescharacteristic
1051C2×C22⋊C4C23×C1911yescharacteristic
1052C2×C22⋊C4C23×C1911yescharacteristic
1053C2×C22⋊C4C23×C1911yescharacteristic
1054C2×C22⋊C4C23×C1911yescharacteristic
1055C2×C22⋊C4C23×C1911yescharacteristic
1056C2×C22⋊C4C23×C1911yescharacteristic
1057C2×C22⋊C4C23×C1911yescharacteristic
1058C2×C22⋊C4C23×C1911yescharacteristic
1059C2×C22⋊C4C23×C1911yescharacteristic
1060C2×C22⋊C4C23×C1911yescharacteristic
1061C2×C22⋊C4C23×C1911yescharacteristic
1062C2×C22⋊C4C23×C1911yescharacteristic
1063C2×C22⋊C4C23×C1911yescharacteristic
1064C2×C22⋊C4C23×C1911yescharacteristic
1065C2×C22⋊C4C23×C1911yescharacteristic
1066C2×C22⋊C4C23×C1911yescharacteristic
1067C2×C22⋊C4C23×C1911yescharacteristic
1068C2×C22⋊C4C23×C1911yescharacteristic
1069C2×C22⋊C4C23×C1911yescharacteristic
1070C2×C22⋊C4C23×C1911yescharacteristic
1071C2×C22⋊C4C23×C1911yescharacteristic
1072C2×C22⋊C4C23×C1911yescharacteristic
1073C2×C22⋊C4C23×C1911yescharacteristic
1074C2×C22⋊C4C23×C1911yescharacteristic
1075C2×C22⋊C4C23×C1911yescharacteristic
1076C2×C22⋊C4C23×C1911yescharacteristic
1077C2×C22⋊C4C23×C1911yescharacteristic
1078C2×C22⋊C4C23×C1911yescharacteristic
1079C2×C22⋊C4C23×C1911yescharacteristic
1080C2×C22⋊C4C23×C1911yescharacteristic
1081C2×C22⋊C4C23×C1911yescharacteristic
1082C2×C22⋊C4C23×C1911yescharacteristic
1083C2×C22⋊C4C23×C1911yescharacteristic
1084C2×C22⋊C4C23×C1911yescharacteristic
1085C2×C22⋊C4C23×C1911yescharacteristic
1086C2×C22⋊C4C23×C1911yescharacteristic
1087C2×C22⋊C4C23×C1911yescharacteristic
1088C2×C22⋊C4C23×C1911yescharacteristic
1089C2×C22⋊C4C23×C1911yescharacteristic
1090C2×C22⋊C4C23×C1911yescharacteristic
1091C2×C22⋊C4C23×C1911yescharacteristic
1092C2×C22⋊C4C23×C1911yescharacteristic
1093C2×C22⋊C4C23×C1911yescharacteristic
1094C2×C22⋊C4C23×C1911yescharacteristic
1095C2×C22⋊C4C23×C1911yescharacteristic
1096C2×C22⋊C4C23×C1911yescharacteristic
1097C2×C22⋊C4C23×C1911yescharacteristic
1098C2×C22⋊C4C23×C1911yescharacteristic
1099C2×C22⋊C4C23×C1911yescharacteristic
1100C2×C22⋊C4C23×C1911yescharacteristic
1101C2×C22⋊C4C23×C1911yescharacteristic
1102C2×C22⋊C4C23×C1911yescharacteristic
1103C2×C22⋊C4C23×C1911yescharacteristic
1104C2×C42C23×C1911yescharacteristic
1105C2×C42C23×C1911yescharacteristic
1106C2×C42C23×C1911yescharacteristic
1107C2×C42C23×C1911yescharacteristic
1108C2×C42C23×C1911yescharacteristic
1109C2×C42C23×C1911yescharacteristic
1110C2×C42C23×C1911yescharacteristic
1111C2×C42C23×C1911yescharacteristic
1112C2×C42C23×C1911yescharacteristic
1113#95C23×C1911yescharacteristic
1114#95C23×C1911yescharacteristic
1115#95C23×C1911yescharacteristic
1116#95C23×C1911yescharacteristic
1117#95C23×C1911yescharacteristic
1118#95C23×C1911yescharacteristic
1119#95C23×C1911yescharacteristic
1120#95C23×C1911yescharacteristic
1121#95C23×C1911yescharacteristic
1122#95C23×C1911yescharacteristic
1123#95C23×C1911yescharacteristic
1124#95C23×C1911yescharacteristic
1125#95C23×C1911yescharacteristic
1126#95C23×C1911yescharacteristic
1127#95C23×C1911yescharacteristic
1128#95C23×C1911yescharacteristic
1129#95C23×C1911yescharacteristic
1130#95C23×C1911yescharacteristic
1131#95C23×C1911yescharacteristic
1132#95C23×C1911yescharacteristic
1133#95C23×C1911yescharacteristic
1134#95C23×C1911yescharacteristic
1135#95C23×C1911yescharacteristic
1136#95C23×C1911yescharacteristic
1137#95C23×C1911yescharacteristic
1138#95C23×C1911yescharacteristic
1139#95C23×C1911yescharacteristic
1140#95C23×C1911yescharacteristic
1141#95C23×C1911yescharacteristic
1142#95C23×C1911yescharacteristic
1143#95C23×C1911yescharacteristic
1144#95C23×C1911yescharacteristic
1145#95C23×C1911yescharacteristic
1146#95C23×C1911yescharacteristic
1147#95C23×C1911yescharacteristic
1148#95C23×C1911yescharacteristic
1149#95C23×C1911yescharacteristic
1150#95C23×C1911yescharacteristic
1151#95C23×C1911yescharacteristic
1152#95C23×C1911yescharacteristic
1153#95C23×C1911yescharacteristic
1154#95C23×C1911yescharacteristic
1155#95C23×C1911yescharacteristic
1156#95C23×C1911yescharacteristic
1157C19#3673511yescharacteristic, direct product factor, Sylow
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C1911yescharacteristic
1166C24C24×C1911yescharacteristic
1167C24C24×C1911yescharacteristic
1168C24C24×C1911yescharacteristic
1169C24C24×C1911yescharacteristic
1170C24C24×C1911yescharacteristic
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
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—
1238C22×C4—41no—
1239C22×C4—416no—
1240C22×C4#41×C1914yes—
1241C22×C4C24×C1911yescharacteristic
1242C22×C4C24×C1911yescharacteristic
1243C22×C4C24×C1911yescharacteristic
1244C22×C4C24×C1911yescharacteristic
1245C22×C4C24×C1911yescharacteristic
1246C22×C4C24×C1911yescharacteristic
1247C22×C4C24×C1911yescharacteristic
1248C22×C4C24×C1911yescharacteristic
1249C22×C4C24×C1911yescharacteristic
1250C22×C4C24×C1911yescharacteristic
1251C22×C4C24×C1911yescharacteristic
1252C22×C4C24×C1911yescharacteristic
1253C22×C4C24×C1911yescharacteristic
1254C22×C4C24×C1911yescharacteristic
1255C22×C4C24×C1911yescharacteristic
1256C22×C4C24×C1911yescharacteristic
1257C22×C4C24×C1911yescharacteristic
1258C22×C4C24×C1911yescharacteristic
1259C22×C4C24×C1911yescharacteristic
1260C22×C4C24×C1911yescharacteristic
1261C22×C4C24×C1911yescharacteristic
1262C22×C4C24×C1911yescharacteristic
1263C22×C4C24×C1911yescharacteristic
1264C22×C4C24×C1911yescharacteristic
1265C22×C4C24×C1911yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23C2×#41×C1912yes—
1400C23C19×H(5,𝔽2)12yes—
1401C23C19×H(5,𝔽2)12yes—
1402C23C25×C1911yescharacteristic
1403Q8—82no—
1404Q8—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×#41×C1912yes—
1499C2×C4C2×#41×C1912yes—
1500C2×C4C19×H(5,𝔽2)12yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—416no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×#41×C1911yescharacteristic
1545C22C2×C19×H(5,𝔽2)11yescharacteristic
1546C22C2×C19×H(5,𝔽2)11yescharacteristic
1547C22C2×C19×H(5,𝔽2)11yescharacteristic
1548C22C19×#58511yescharacteristic
1549C22C19×#58511yescharacteristic
1550C22C19×#58511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2C19×#345511yescharacteristic
1583C2C19×#349011yescharacteristic
1584C2C19×#349411yescharacteristic
1585C2C19×#353311yescharacteristic
1586C2C19×#353411yescharacteristic
1587C2C19×#354011yescharacteristic
1588C2C19×#354211yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2849C2semidirect
2. C19×#2847C2semidirect
3. C19×#2747C2semidirect
4. C19×#2740C2semidirect
5. C19×#2739C2semidirect
6. C19×#2737C2semidirect
7. C19×#2737C2semidirect
8. C19×#2717C2semidirect
9. C19×#2703C2semidirect
10. C19×#2697C2semidirect
11. C19×#2696C2semidirect
12. C19×#2693C2semidirect
13. C19×#2688C2semidirect
14. C19×#2686C2semidirect
15. C19×#2684C2semidirect
16. C19×#2678C2semidirect
17. C19×#2672C2semidirect
18. C19×#2670C2semidirect
19. C19×#2665C2semidirect
20. C19×#2661C2semidirect
21. C19×#2597C2semidirect
22. C19×#2578C2semidirect
23. C19×#2557C2semidirect
24. C19×#2557C2semidirect
25. C19×#2477C2semidirect
26. C19×#2476C2semidirect
27. C19×#2474C2semidirect
28. C19×#2471C2semidirect
29. C19×#2335C2semidirect
30. C19×#2333C2semidirect
31. C19×#2280C2semidirect
40. C2×C19×#123C22semidirect
41. C2×C19×C22⋊Q8C22semidirect
51. C19×#400C22semidirect
52. C19×#400C22semidirect
53. C19×#400C22semidirect
54. C19×#400C22semidirect
55. C19×#400C22semidirect
56. C19×#399C22semidirect
57. C19×#398C22semidirect
58. C19×#398C22semidirect
64. C19×#397C22semidirect
65. C19×#397C22semidirect
66. C19×#397C22semidirect
67. C19×#397C22semidirect
68. C19×#397C22semidirect
69. C19×#397C22semidirect
70. C19×#397C22semidirect
74. C19×#396C22semidirect
75. C19×#395C22semidirect
76. C19×#395C22semidirect
77. C19×#395C22semidirect
86. C19×#394C22semidirect
87. C19×#394C22semidirect
91. C19×#393C22semidirect
92. C19×#393C22semidirect
98. C19×#392C22semidirect
99. C19×#391C22semidirect
100. C19×#391C22semidirect
106. C19×#390C22semidirect
107. C19×#390C22semidirect
108. C19×#389C22semidirect
116. C19×#388C22semidirect
117. C19×#388C22semidirect
118. C19×#388C22semidirect
119. C19×#388C22semidirect
120. C19×#388C22semidirect
121. C19×#388C22semidirect
122. C19×#388C22semidirect
123. C19×#388C22semidirect
124. C19×#388C22semidirect
125. C19×#387C22semidirect
126. C19×#387C22semidirect
127. C19×#387C22semidirect
128. C19×#387C22semidirect
129. C19×#387C22semidirect
130. C19×#387C22semidirect
131. C19×#387C22semidirect
132. C19×#387C22semidirect
133. C19×#387C22semidirect
134. C19×#387C22semidirect
135. C19×#387C22semidirect
136. C19×#387C22semidirect
153. C19×#386C22semidirect
154. C19×#386C22semidirect
155. C19×#386C22semidirect
156. C19×#386C22semidirect
161. C19×#385C22semidirect
162. C19×#385C22semidirect
163. C19×#383C22semidirect
175. C19×#380C22semidirect
179. C4×C4⋊C4×C19C22semidirect
184. C4×C22⋊C4×C19C22semidirect
185. C4×C22⋊C4×C19C22semidirect
186. C4×C22⋊C4×C19C22semidirect
558. #36735C19direct (N × H)
707. #2849C2×C19semidirect
708. #2847C2×C19semidirect
709. #2747C2×C19semidirect
710. #2740C2×C19semidirect
711. #2739C2×C19semidirect
712. #2737C2×C19semidirect
713. #2737C2×C19semidirect
714. #2717C2×C19semidirect
715. #2703C2×C19semidirect
716. #2697C2×C19semidirect
717. #2696C2×C19semidirect
718. #2693C2×C19semidirect
719. #2688C2×C19semidirect
720. #2686C2×C19semidirect
721. #2684C2×C19semidirect
722. #2678C2×C19semidirect
723. #2672C2×C19semidirect
724. #2670C2×C19semidirect
725. #2665C2×C19semidirect
726. #2661C2×C19semidirect
727. #2597C2×C19semidirect
728. #2578C2×C19semidirect
729. #2557C2×C19semidirect
730. #2557C2×C19semidirect
731. #2477C2×C19semidirect
732. #2476C2×C19semidirect
733. #2474C2×C19semidirect
734. #2471C2×C19semidirect
735. #2335C2×C19semidirect
736. #2333C2×C19semidirect
737. #2280C2×C19semidirect
821. C2×#123C22×C19semidirect
822. C2×C22⋊Q8C22×C19semidirect
832. #400C22×C19semidirect
833. #400C22×C19semidirect
834. #400C22×C19semidirect
835. #400C22×C19semidirect
836. #400C22×C19semidirect
837. #399C22×C19semidirect
838. #398C22×C19semidirect
839. #398C22×C19semidirect
845. #397C22×C19semidirect
846. #397C22×C19semidirect
847. #397C22×C19semidirect
848. #397C22×C19semidirect
849. #397C22×C19semidirect
850. #397C22×C19semidirect
851. #397C22×C19semidirect
855. #396C22×C19semidirect
856. #395C22×C19semidirect
857. #395C22×C19semidirect
858. #395C22×C19semidirect
867. #394C22×C19semidirect
868. #394C22×C19semidirect
872. #393C22×C19semidirect
873. #393C22×C19semidirect
879. #392C22×C19semidirect
880. #391C22×C19semidirect
881. #391C22×C19semidirect
887. #390C22×C19semidirect
888. #390C22×C19semidirect
889. #389C22×C19semidirect
897. #388C22×C19semidirect
898. #388C22×C19semidirect
899. #388C22×C19semidirect
900. #388C22×C19semidirect
901. #388C22×C19semidirect
902. #388C22×C19semidirect
903. #388C22×C19semidirect
904. #388C22×C19semidirect
905. #388C22×C19semidirect
906. #387C22×C19semidirect
907. #387C22×C19semidirect
908. #387C22×C19semidirect
909. #387C22×C19semidirect
910. #387C22×C19semidirect
911. #387C22×C19semidirect
912. #387C22×C19semidirect
913. #387C22×C19semidirect
914. #387C22×C19semidirect
915. #387C22×C19semidirect
916. #387C22×C19semidirect
917. #387C22×C19semidirect
934. #386C22×C19semidirect
935. #386C22×C19semidirect
936. #386C22×C19semidirect
937. #386C22×C19semidirect
942. #385C22×C19semidirect
943. #385C22×C19semidirect
944. #383C22×C19semidirect
956. #380C22×C19semidirect
960. C4×C4⋊C4C22×C19semidirect
965. C4×C22⋊C4C22×C19semidirect
966. C4×C22⋊C4C22×C19semidirect
967. C4×C22⋊C4C22×C19semidirect
1157. C19#36735direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28492
C19×#28472
C19×#27472
C19×#27402
C19×#27392
C19×#27372
C19×#27172
C19×#27032
C19×#26972
C19×#26962
C19×#26932
C19×#26882
C19×#26862
C19×#26842
C19×#26782
C19×#26722
C19×#26702
C19×#26652
C19×#26612
C19×#25972
C19×#25782
C19×#25572
C19×#24772
C19×#24762
C19×#24742
C19×#24712
C19×#23352
C19×#23332
C19×#22802
#3673519