Finite Group Databasebeta

← C19×#62897 #18068856

Subgroups — C19×#62897 #18068856

Order 4864.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3562C216yesmaximal, complemented
2C19×#3561C213yesmaximal, complemented
3C19×#3558C213yesmaximal, complemented
4C19×#3554C216yesmaximal, complemented
5C19×#3542C216yesmaximal, complemented
6C19×#3541C216yesmaximal, complemented
7C19×#3540C216yesmaximal, complemented
8C19×#3524C212yesmaximal, complemented
9C19×#3523C211yesmaximal, characteristic, complemented
10C19×#3522C211yesmaximal, characteristic, complemented
11C19×#3520C216yesmaximal, complemented
12C19×#3518C212yesmaximal, complemented
13C19×#3506C213yesmaximal, complemented
14C19×#3489C212yesmaximal, complemented
15C19×#3487C212yesmaximal, complemented
16C19×#3486C212yesmaximal, complemented
17D4×#41×C19C212yesmaximal, complemented
18C2×C19×#548C211yesmaximal, characteristic, complemented
19C19×#3459C213yesmaximal, complemented
20C2×C19×2−1+4C2212yescomplemented
21C22×#41×C19C2211yescharacteristic
22C22×#41×C19C2212yescomplemented
23C23×Q8×C19C2211yescharacteristic, complemented
24C19×#563C2216yescomplemented
25C19×#562C22112yescomplemented
26C19×#562C2216yescomplemented
27C19×#562C2216yescomplemented
28C19×H(3,𝔽4)C2216yescomplemented
29C19×#560C22112yescomplemented
30C19×#559C22112yescomplemented
31C19×#559C2213yescomplemented
32C19×#559C2216yescomplemented
33Q82×C19C2211yescharacteristic, complemented
34C19×#557C2211yescharacteristic, complemented
35C19×#557C2213yescomplemented
36C19×#556C2216yescomplemented
37C19×#556C2216yescomplemented
38C19×#556C2216yescomplemented
39C19×#556C2213yescomplemented
40C19×#555C2216yescomplemented
41C19×#555C2216yescomplemented
42C19×#554C22112yescomplemented
43C19×#554C2213yescomplemented
44C19×#553C22112yescomplemented
45C19×#553C2216yescomplemented
46C19×#552C2216yescomplemented
47C19×#552C2216yescomplemented
48C19×#551C22112yescomplemented
49C19×#551C22112yescomplemented
50C19×#550C2212yescomplemented
51C19×#550C2211yescharacteristic, complemented
52C19×#550C2216yescomplemented
53C19×#550C2216yescomplemented
54D4×Q8×C19C2212yescomplemented
55D4×Q8×C19C2212yescomplemented
56D4×Q8×C19C2216yescomplemented
57D4×Q8×C19C2216yescomplemented
58D4×Q8×C19C2211yescharacteristic, complemented
59C19×#548C2212yescomplemented
60C19×#548C2212yescomplemented
61C19×#548C2216yescomplemented
62C19×#548C2216yescomplemented
63C19×#548C2212yescomplemented
64C19×#548C2212yescomplemented
65C19×#548C2212yescomplemented
66C19×#548C2216yescomplemented
67C19×#548C2216yescomplemented
68C19×#548C2216yescomplemented
69C19×#548C2216yescomplemented
70C19×#547C2216yescomplemented
71C19×#547C2216yescomplemented
72C19×#547C2216yescomplemented
73C19×#547C2216yescomplemented
74C19×#546C2216yescomplemented
75C19×#546C2216yescomplemented
76C19×#546C2216yescomplemented
77C19×#546C2216yescomplemented
78C19×#546C22112yescomplemented
79D42×C19C2216yescomplemented
80C19×#543C2213yescomplemented
81C19×#542C2216yescomplemented
82C19×#542C2216yescomplemented
83C19×#542C22112yescomplemented
84C19×#542C2216yescomplemented
85C19×#542C2216yescomplemented
86C19×#542C22112yescomplemented
87C19×#541C2216yescomplemented
88C19×#540C2216yescomplemented
89C19×#540C22112yescomplemented
90C19×#539C2216yescomplemented
91C19×#539C2216yescomplemented
92C19×#539C2216yescomplemented
93C19×#539C22112yescomplemented
94C19×#538C2211yescharacteristic
95C19×#538C2213yescomplemented
96C19×#538C2216yescomplemented
97C19×#538C2216yescomplemented
98C19×#538C2216yescomplemented
99C19×#538C22112yescomplemented
100C19×#538C22112yescomplemented
101C19×#537C2216yescomplemented
102C19×#536C2216yescomplemented
103C19×#536C2216yescomplemented
104C19×#536C2216yescomplemented
105C19×#535C2216yescomplemented
106C19×#535C2216yescomplemented
107C19×#535C2216yescomplemented
108C19×#534C2213yes—
109C19×#534C2216yescomplemented
110C19×#533C2213yescomplemented
111C19×#533C2216yescomplemented
112C19×#532C2216yescomplemented
113C19×#532C2213yescomplemented
114C19×#529C2213yes—
115C19×#529C2216yescomplemented
116C19×#529C2213yescomplemented
117C19×#529C2216yescomplemented
118C19×#529C2216yescomplemented
119C2×C19×#124C2213yescomplemented
120C19×#525C2216yescomplemented
121C19×#525C2216yescomplemented
122C19×#525C2216yescomplemented
123C19×#525C2216yescomplemented
124C19×#525C2216yescomplemented
125C19×#525C2216yescomplemented
126C19×#525C2216yescomplemented
127C2×C19×C22⋊Q8C2213yescomplemented
128C2×C19×C22⋊Q8C2216yescomplemented
129C2×C19×#121C2213yescomplemented
130C19×#520C2212yescomplemented
131C19×#520C2216yescomplemented
132C19×#519C2212yescomplemented
133C19×#519C2212yescomplemented
134C4×#41×C19C2212yescomplemented
135C2×C4×Q8×C19C2211yescharacteristic, complemented
136C2×C4×D4×C19C2213yescomplemented
137C2×C4×D4×C19C2216yescomplemented
138C19×2−1+4—48no—
139C2×#41×C19—44no—
140C2×#41×C19—48no—
141C2×#41×C19C2312yes—
142C2×#41×C19C2312yes—
143C2×#41×C19C2316yes—
144C2×#41×C19C2316yes—
145C2×#41×C19C2316yes—
146C2×#41×C19C2316yes—
147C2×#41×C19C2316yes—
148C2×#41×C19C2316yes—
149C2×#41×C19C2316yes—
150C22×Q8×C19—44no—
151C22×Q8×C19C2311yescharacteristic
152C22×Q8×C19C2312yes—
153C22×Q8×C19C2312yes—
154C22×Q8×C19C2313yes—
155C22×Q8×C19C2316yes—
156C22×Q8×C19C2316yes—
157C22×D4×C19C2313yes—
158C22×D4×C19C2316yes—
159C22×D4×C19C2313yes—
160C22×D4×C19C2316yes—
161C23×C4×C19C2313yes—
162C23×C4×C19C2313yes—
163C23×C4×C19C2316yes—
164C19×C4⋊Q8C2316yes—
165C19×C4⋊Q8C2313yes—
166C19×C4⋊Q8C2313yes—
167C19×C4⋊Q8C2316yes—
168C19×C4⋊Q8C2316yes—
169C19×C4⋊Q8C2313yes—
170C19×C4⋊Q8C23112yes—
171C19×#127C2313yes—
172C19×#127C2316yes—
173C19×#127C23112yes—
174C19×#126C2316yes—
175C19×#126C2312yes—
176C19×#126C2316yes—
177C19×#126C2316yes—
178C19×#126C2316yes—
179C19×#126C2316yes—
180C19×#126C23112yes—
181C19×#126C23112yes—
182C19×#126C23112yes—
183C19×#126C23112yes—
184C19×#125C2313yes—
185C19×#125C2316yes—
186C19×#125C2316yes—
187C19×#125C2313yes—
188C19×#125C2316yes—
189C19×#125C2316yes—
190C19×#125C23112yes—
191C19×#124C2316yes—
192C19×#124C2316yes—
193C19×#124C2316yes—
194C19×#124C2316yes—
195C19×#124C2313yes—
196C19×#124C2312yes—
197C19×#124C2316yes—
198C19×#124C2316yes—
199C19×#124C2313yes—
200C19×#124C2316yes—
201C19×#124C2316yes—
202C19×#124C2316yes—
203C19×#124C23112yes—
204C19×#124C23112yes—
205C19×#124C23112yes—
206C19×#124C23112yes—
207C19×#124C23112yes—
208C19×#123C2312yes—
209C19×#123C2316yes—
210C19×#123C2316yes—
211C19×#123C2316yes—
212C19×#123C23112yes—
213C19×#123C2316yes—
214C19×#123C2316yes—
215C19×#123C23112yes—
216C19×#123C23112yes—
217C19×#123C2316yes—
218C19×#123C2316yes—
219C19×#123C2316yes—
220C19×#123C2316yes—
221C19×#123C2316yes—
222C19×#123C2316yes—
223C19×#123C23112yes—
224C19×#123C23112yes—
225C19×#123C23112yes—
226C19×#123C23112yes—
227C19×#123C23112yes—
228C19×C22⋊Q8C2316yes—
229C19×C22⋊Q8C2316yes—
230C19×C22⋊Q8C2316yes—
231C19×C22⋊Q8C2316yes—
232C19×C22⋊Q8C23112yes—
233C19×C22⋊Q8C2316yes—
234C19×C22⋊Q8C2316yes—
235C19×C22⋊Q8C23112yes—
236C19×C22⋊Q8C2316yes—
237C19×C22⋊Q8C2316yes—
238C19×C22⋊Q8C2316yes—
239C19×C22⋊Q8C2316yes—
240C19×C22⋊Q8C2316yes—
241C19×C22⋊Q8C2316yes—
242C19×C22⋊Q8C2316yes—
243C19×C22⋊Q8C2316yes—
244C19×C22⋊Q8C2316yes—
245C19×C22⋊Q8C2316yes—
246C19×C22⋊Q8C2313yes—
247C19×C22⋊Q8C2311yescharacteristic
248C19×C22⋊Q8C2316yes—
249C19×C22⋊Q8C2316yes—
250C19×C22⋊Q8C23112yes—
251C19×C22⋊Q8C23112yes—
252C19×C22⋊Q8C23112yes—
253C19×C22⋊Q8C23112yes—
254C19×#121C2316yes—
255C19×#121C2316yes—
256C19×#121C23112yes—
257C19×#121C2312yes—
258C19×#121C2316yes—
259C19×#121C2316yes—
260C19×#121C2316yes—
261C19×#121C2316yes—
262C19×#121C2316yes—
263C19×#121C2316yes—
264C19×#121C2316yes—
265C19×#121C2316yes—
266C19×#121C2316yes—
267C19×#121C2316yes—
268C19×#121C2316yes—
269C19×#121C2311yescharacteristic
270C19×#121C2313yes—
271C19×#121C2316yes—
272C19×#121C2316yes—
273C19×#121C23112yes—
274C19×#121C23112yes—
275C19×#121C23112yes—
276C19×#121C23112yes—
277C19×#121C23112yes—
278C19×#121C23112yes—
279C19×#121C23112yes—
280C19×#120C2312yes—
281C19×#120C2316yes—
282C19×#120C2316yes—
283C19×#120C2316yes—
284C19×#120C2316yes—
285C19×#120C2316yes—
286C19×#120C23112yes—
287C19×#120C23112yes—
288C19×#120C23112yes—
289C4×Q8×C19C2311yescharacteristic
290C4×Q8×C19C2311yescharacteristic
291C4×Q8×C19C2313yes—
292C4×Q8×C19C2313yes—
293C4×Q8×C19C2312yes—
294C4×Q8×C19C2312yes—
295C4×Q8×C19C2316yes—
296C4×Q8×C19C2316yes—
297C4×Q8×C19C2316yes—
298C4×Q8×C19C2316yes—
299C4×Q8×C19C23112yes—
300C4×Q8×C19C2313yes—
301C4×Q8×C19C2313yes—
302C4×Q8×C19C2316yes—
303C4×D4×C19C2312yes—
304C4×D4×C19C2316yes—
305C4×D4×C19C2316yes—
306C4×D4×C19C2316yes—
307C4×D4×C19C2316yes—
308C4×D4×C19C2316yes—
309C4×D4×C19C2316yes—
310C4×D4×C19C2316yes—
311C4×D4×C19C2316yes—
312C4×D4×C19C2316yes—
313C4×D4×C19C2316yes—
314C4×D4×C19C2316yes—
315C4×D4×C19C2316yes—
316C4×D4×C19C2316yes—
317C4×D4×C19C23112yes—
318C4×D4×C19C23112yes—
319C4×D4×C19C2316yes—
320C4×D4×C19C2316yes—
321C4×D4×C19C2313yes—
322C4×D4×C19C2316yes—
323C4×D4×C19C2313yes—
324C4×D4×C19C2316yes—
325C4×D4×C19C23112yes—
326C4×D4×C19C23112yes—
327C4×D4×C19C23112yes—
328C4×D4×C19C23112yes—
329C4×D4×C19C2316yes—
330C19×#117C2316yes—
331C19×#117C2316yes—
332C19×#117C2316yes—
333C19×#117C2316yes—
334C19×#117C2316yes—
335C19×#117C2316yes—
336C19×#117C23112yes—
337C19×#117C2316yes—
338C19×#117C23112yes—
339C2×C4⋊C4×C19C2313yes—
340C2×C4⋊C4×C19C2316yes—
341C2×C4⋊C4×C19C2313yes—
342C2×C4⋊C4×C19C2316yes—
343C2×C4⋊C4×C19C23112yes—
344C2×C22⋊C4×C19C2311yescharacteristic
345C2×C22⋊C4×C19C2313yes—
346C2×C22⋊C4×C19C2316yes—
347C2×C22⋊C4×C19C2316yes—
348C2×C22⋊C4×C19C2316yes—
349C2×C22⋊C4×C19C23112yes—
350C2×C42×C19C2313yes—
351C2×C42×C19C2316yes—
352C24×C19C2413yes—
353C24×C19C2411yescharacteristic
354C24×C19C2416yes—
355#41×C19—28no—
356#41×C19—28no—
357#41×C19—412no—
358#41×C19—412no—
359#41×C19—412no—
360#41×C19—412no—
361#41×C19—412no—
362#41×C19—412no—
363#41×C19—412no—
364C2×Q8×C19—24no—
365C2×Q8×C19—28no—
366C2×Q8×C19—28no—
367C2×Q8×C19—46no—
368C2×Q8×C19—412no—
369C2×Q8×C19—412no—
370C2×Q8×C19C2416yes—
371C2×Q8×C19C2413yes—
372C2×Q8×C19C2416yes—
373C2×Q8×C19C2411yescharacteristic
374C2×Q8×C19C2413yes—
375C2×Q8×C19C2416yes—
376C2×Q8×C19C2416yes—
377C2×Q8×C19C2416yes—
378C2×Q8×C19C2411yescharacteristic
379C2×D4×C19—46no—
380C2×D4×C19—412no—
381C2×D4×C19—46no—
382C2×D4×C19—412no—
383C2×D4×C19C2416yes—
384C2×D4×C19C2412yes—
385C2×D4×C19C2416yes—
386C2×D4×C19C2416yes—
387C2×D4×C19C2411yescharacteristic
388C2×D4×C19C2412yes—
389C2×D4×C19C24112yes—
390C2×D4×C19C2413yes—
391C2×D4×C19C2416yes—
392C2×D4×C19C2416yes—
393C2×D4×C19C2416yes—
394C2×D4×C19C2416yes—
395C2×D4×C19C2416yes—
396C2×D4×C19C2416yes—
397C2×D4×C19C2412yes—
398C2×D4×C19C2416yes—
399C2×D4×C19C2416yes—
400C2×D4×C19C2416yes—
401C2×D4×C19C24112yes—
402C22×C4×C19—46no—
403C22×C4×C19—46no—
404C22×C4×C19—412no—
405C22×C4×C19C2413yes—
406C22×C4×C19C2413yes—
407C22×C4×C19C2416yes—
408C22×C4×C19C2416yes—
409C22×C4×C19C2416yes—
410C22×C4×C19C2416yes—
411C22×C4×C19C2411yescharacteristic
412C22×C4×C19C2416yes—
413C22×C4×C19C2416yes—
414C22×C4×C19C2413yes—
415C22×C4×C19C2411yescharacteristic
416C22×C4×C19C24112yes—
417C22×C4×C19C2416yes—
418C22×C4×C19C24112yes—
419C22×C4×C19C2416yes—
420C22×C4×C19C2416yes—
421C22×C4×C19C2416yes—
422C22×C4×C19C2412yes—
423C4⋊C4×C19C2416yes—
424C4⋊C4×C19C2412yes—
425C4⋊C4×C19C2413yes—
426C4⋊C4×C19C2416yes—
427C4⋊C4×C19C2416yes—
428C4⋊C4×C19C2416yes—
429C4⋊C4×C19C2416yes—
430C4⋊C4×C19C2413yes—
431C4⋊C4×C19C2416yes—
432C4⋊C4×C19C2416yes—
433C4⋊C4×C19C2416yes—
434C4⋊C4×C19C24112yes—
435C4⋊C4×C19C2416yes—
436C4⋊C4×C19C2416yes—
437C4⋊C4×C19C2416yes—
438C4⋊C4×C19C2412yes—
439C4⋊C4×C19C2416yes—
440C4⋊C4×C19C2416yes—
441C4⋊C4×C19C2416yes—
442C4⋊C4×C19C2416yes—
443C4⋊C4×C19C2416yes—
444C4⋊C4×C19C2416yes—
445C4⋊C4×C19C2411yescharacteristic
446C4⋊C4×C19C2416yes—
447C4⋊C4×C19C24112yes—
448C4⋊C4×C19C2416yes—
449C4⋊C4×C19C2413yes—
450C4⋊C4×C19C2413yes—
451C4⋊C4×C19C2411yescharacteristic
452C22⋊C4×C19C2412yes—
453C22⋊C4×C19C2412yes—
454C22⋊C4×C19C2416yes—
455C22⋊C4×C19C2416yes—
456C22⋊C4×C19C24112yes—
457C22⋊C4×C19C2416yes—
458C22⋊C4×C19C2416yes—
459C22⋊C4×C19C24112yes—
460C22⋊C4×C19C24112yes—
461C22⋊C4×C19C2412yes—
462C22⋊C4×C19C2412yes—
463C22⋊C4×C19C2416yes—
464C22⋊C4×C19C2416yes—
465C22⋊C4×C19C2416yes—
466C22⋊C4×C19C2416yes—
467C22⋊C4×C19C2416yes—
468C22⋊C4×C19C2416yes—
469C22⋊C4×C19C2412yes—
470C22⋊C4×C19C2416yes—
471C22⋊C4×C19C2412yes—
472C22⋊C4×C19C2416yes—
473C22⋊C4×C19C24112yes—
474C22⋊C4×C19C24112yes—
475C22⋊C4×C19C2416yes—
476C22⋊C4×C19C2416yes—
477C22⋊C4×C19C2412yes—
478C22⋊C4×C19C2416yes—
479C22⋊C4×C19C2416yes—
480C22⋊C4×C19C2416yes—
481C22⋊C4×C19C24112yes—
482C42×C19C2412yes—
483C42×C19C2416yes—
484C42×C19C2413yes—
485C42×C19C2416yes—
486C42×C19C2416yes—
487C42×C19C2413yes—
488C42×C19C2413yes—
489C42×C19C2413yes—
490C42×C19C24112yes—
491C42×C19C24112yes—
492#62897C1911yesmaximal, characteristic, direct product factor, Sylow
493C23×C19—22no—
494C23×C19—26no—
495C23×C19—41no—
496C23×C19—41no—
497C23×C19—43no—
498C23×C19—46no—
499C23×C19—46no—
500C23×C19—43no—
501C23×C19—46no—
502C23×C19C2512yes—
503C23×C19C2516yes—
504C23×C19C2512yes—
505C23×C19C2516yes—
506C23×C19C2511yescharacteristic
507Q8×C19—212no—
508Q8×C19—26no—
509Q8×C19—212no—
510Q8×C19—46no—
511Q8×C19—46no—
512Q8×C19—41no—
513Q8×C19—43no—
514Q8×C19—46no—
515Q8×C19H(5,𝔽2)14yes—
516D4×C19—24no—
517D4×C19—212no—
518D4×C19—212no—
519D4×C19—212no—
520D4×C19—46no—
521D4×C19—46no—
522D4×C19—46no—
523D4×C19—46no—
524D4×C19—412no—
525D4×C19—46no—
526D4×C19—42no—
527D4×C19—412no—
528D4×C19—46no—
529D4×C19—43no—
530D4×C19—41no—
531D4×C19—46no—
532D4×C19—42no—
533D4×C19—46no—
534D4×C19—46no—
535C2×C4×C19—26no—
536C2×C4×C19—26no—
537C2×C4×C19—212no—
538C2×C4×C19—212no—
539C2×C4×C19—212no—
540C2×C4×C19—212no—
541C2×C4×C19—41no—
542C2×C4×C19—42no—
543C2×C4×C19—46no—
544C2×C4×C19—43no—
545C2×C4×C19—46no—
546C2×C4×C19—46no—
547C2×C4×C19—46no—
548C2×C4×C19—46no—
549C2×C4×C19—41no—
550C2×C4×C19—46no—
551C2×C4×C19—412no—
552C2×C4×C19—412no—
553C2×C4×C19C2511yescharacteristic
554C2×C4×C19C2516yes—
555C2×C4×C19C2511yescharacteristic
556C2×C4×C19C2513yes—
557C2×C4×C19C2512yes—
558C2×C4×C19C2516yes—
559C2×C4×C19C2512yes—
560C2×C4×C19C2512yes—
561C2×C4×C19C2516yes—
562C2×C4×C19C2513yes—
563C2×C4×C19C2513yes—
564C2×C4×C19C2516yes—
565C2×C4×C19C2512yes—
566C2×C4×C19C2513yes—
567#3562C2×C1916yescomplemented
568#3561C2×C1913yescomplemented
569#3558C2×C1913yescomplemented
570#3554C2×C1916yescomplemented
571#3542C2×C1916yescomplemented
572#3541C2×C1916yescomplemented
573#3540C2×C1916yescomplemented
574#3524C2×C1912yescomplemented
575#3523C2×C1911yescharacteristic, complemented
576#3522C2×C1911yescharacteristic, complemented
577#3520C2×C1916yescomplemented
578#3518C2×C1912yescomplemented
579#3506C2×C1913yescomplemented
580#3489C2×C1912yescomplemented
581#3487C2×C1912yescomplemented
582#3486C2×C1912yescomplemented
583D4×#41C2×C1912yescomplemented
584C2×#548C2×C1911yescharacteristic, complemented
585#3459C2×C1913yescomplemented
586C22×C19—21no—
587C22×C19—21no—
588C22×C19—22no—
589C22×C19—22no—
590C22×C19—26no—
591C22×C19—26no—
592C22×C19—26no—
593C22×C19—26no—
594C22×C19—22no—
595C22×C19—22no—
596C22×C19—26no—
597C22×C19—22no—
598C22×C19—26no—
599C22×C19—22no—
600C22×C19—44no—
601C22×C19—86no—
602C22×C19—812no—
603C22×C19#58512yes—
604C22×C19C2611yescharacteristic
605C4×C19—22no—
606C4×C19—22no—
607C4×C19—26no—
608C4×C19—23no—
609C4×C19—26no—
610C4×C19—23no—
611C4×C19—23no—
612C4×C19—22no—
613C4×C19—26no—
614C4×C19—22no—
615C4×C19—26no—
616C4×C19—21no—
617C4×C19—21no—
618C4×C19C2×H(5,𝔽2)16yes—
619C2×2−1+4C22×C1912yescomplemented
620C22×#41C22×C1911yescharacteristic
621C22×#41C22×C1912yescomplemented
622C23×Q8C22×C1911yescharacteristic, complemented
623#563C22×C1916yescomplemented
624#562C22×C19112yescomplemented
625#562C22×C1916yescomplemented
626#562C22×C1916yescomplemented
627H(3,𝔽4)C22×C1916yescomplemented
628#560C22×C19112yescomplemented
629#559C22×C19112yescomplemented
630#559C22×C1913yescomplemented
631#559C22×C1916yescomplemented
632Q82C22×C1911yescharacteristic, complemented
633#557C22×C1911yescharacteristic, complemented
634#557C22×C1913yescomplemented
635#556C22×C1916yescomplemented
636#556C22×C1916yescomplemented
637#556C22×C1916yescomplemented
638#556C22×C1913yescomplemented
639#555C22×C1916yescomplemented
640#555C22×C1916yescomplemented
641#554C22×C19112yescomplemented
642#554C22×C1913yescomplemented
643#553C22×C19112yescomplemented
644#553C22×C1916yescomplemented
645#552C22×C1916yescomplemented
646#552C22×C1916yescomplemented
647#551C22×C19112yescomplemented
648#551C22×C19112yescomplemented
649#550C22×C1912yescomplemented
650#550C22×C1911yescharacteristic, complemented
651#550C22×C1916yescomplemented
652#550C22×C1916yescomplemented
653D4×Q8C22×C1912yescomplemented
654D4×Q8C22×C1912yescomplemented
655D4×Q8C22×C1916yescomplemented
656D4×Q8C22×C1916yescomplemented
657D4×Q8C22×C1911yescharacteristic, complemented
658#548C22×C1912yescomplemented
659#548C22×C1912yescomplemented
660#548C22×C1916yescomplemented
661#548C22×C1916yescomplemented
662#548C22×C1912yescomplemented
663#548C22×C1912yescomplemented
664#548C22×C1912yescomplemented
665#548C22×C1916yescomplemented
666#548C22×C1916yescomplemented
667#548C22×C1916yescomplemented
668#548C22×C1916yescomplemented
669#547C22×C1916yescomplemented
670#547C22×C1916yescomplemented
671#547C22×C1916yescomplemented
672#547C22×C1916yescomplemented
673#546C22×C1916yescomplemented
674#546C22×C1916yescomplemented
675#546C22×C1916yescomplemented
676#546C22×C1916yescomplemented
677#546C22×C19112yescomplemented
678D42C22×C1916yescomplemented
679#543C22×C1913yescomplemented
680#542C22×C1916yescomplemented
681#542C22×C1916yescomplemented
682#542C22×C19112yescomplemented
683#542C22×C1916yescomplemented
684#542C22×C1916yescomplemented
685#542C22×C19112yescomplemented
686#541C22×C1916yescomplemented
687#540C22×C1916yescomplemented
688#540C22×C19112yescomplemented
689#539C22×C1916yescomplemented
690#539C22×C1916yescomplemented
691#539C22×C1916yescomplemented
692#539C22×C19112yescomplemented
693#538C22×C1911yescharacteristic
694#538C22×C1913yescomplemented
695#538C22×C1916yescomplemented
696#538C22×C1916yescomplemented
697#538C22×C1916yescomplemented
698#538C22×C19112yescomplemented
699#538C22×C19112yescomplemented
700#537C22×C1916yescomplemented
701#536C22×C1916yescomplemented
702#536C22×C1916yescomplemented
703#536C22×C1916yescomplemented
704#535C22×C1916yescomplemented
705#535C22×C1916yescomplemented
706#535C22×C1916yescomplemented
707#534C22×C1913yes—
708#534C22×C1916yescomplemented
709#533C22×C1913yescomplemented
710#533C22×C1916yescomplemented
711#532C22×C1916yescomplemented
712#532C22×C1913yescomplemented
713#529C22×C1913yes—
714#529C22×C1916yescomplemented
715#529C22×C1913yescomplemented
716#529C22×C1916yescomplemented
717#529C22×C1916yescomplemented
718C2×#124C22×C1913yescomplemented
719#525C22×C1916yescomplemented
720#525C22×C1916yescomplemented
721#525C22×C1916yescomplemented
722#525C22×C1916yescomplemented
723#525C22×C1916yescomplemented
724#525C22×C1916yescomplemented
725#525C22×C1916yescomplemented
726C2×C22⋊Q8C22×C1913yescomplemented
727C2×C22⋊Q8C22×C1916yescomplemented
728C2×#121C22×C1913yescomplemented
729#520C22×C1912yescomplemented
730#520C22×C1916yescomplemented
731#519C22×C1912yescomplemented
732#519C22×C1912yescomplemented
733C4×#41C22×C1912yescomplemented
734C2×C4×Q8C22×C1911yescharacteristic, complemented
735C2×C4×D4C22×C1913yescomplemented
736C2×C4×D4C22×C1916yescomplemented
737C2×C19—22no—
738C2×C19—42no—
739C2×C19—46no—
740C2×C19—46no—
741C2×C19—42no—
742C2×C19C22×H(5,𝔽2)11yescharacteristic
743C2×C19C2×#58511yescharacteristic
744C2×C192−1+611yescharacteristic
7452−1+4—48no—
746C2×#41—44no—
747C2×#41—48no—
748C2×#41C23×C1912yes—
749C2×#41C23×C1912yes—
750C2×#41C23×C1916yes—
751C2×#41C23×C1916yes—
752C2×#41C23×C1916yes—
753C2×#41C23×C1916yes—
754C2×#41C23×C1916yes—
755C2×#41C23×C1916yes—
756C2×#41C23×C1916yes—
757C22×Q8—44no—
758C22×Q8C23×C1911yescharacteristic
759C22×Q8C23×C1912yes—
760C22×Q8C23×C1912yes—
761C22×Q8C23×C1913yes—
762C22×Q8C23×C1916yes—
763C22×Q8C23×C1916yes—
764C22×D4C23×C1913yes—
765C22×D4C23×C1916yes—
766C22×D4C23×C1913yes—
767C22×D4C23×C1916yes—
768C23×C4C23×C1913yes—
769C23×C4C23×C1913yes—
770C23×C4C23×C1916yes—
771C4⋊Q8C23×C1916yes—
772C4⋊Q8C23×C1913yes—
773C4⋊Q8C23×C1913yes—
774C4⋊Q8C23×C1916yes—
775C4⋊Q8C23×C1916yes—
776C4⋊Q8C23×C1913yes—
777C4⋊Q8C23×C19112yes—
778#127C23×C1913yes—
779#127C23×C1916yes—
780#127C23×C19112yes—
781#126C23×C1916yes—
782#126C23×C1912yes—
783#126C23×C1916yes—
784#126C23×C1916yes—
785#126C23×C1916yes—
786#126C23×C1916yes—
787#126C23×C19112yes—
788#126C23×C19112yes—
789#126C23×C19112yes—
790#126C23×C19112yes—
791#125C23×C1913yes—
792#125C23×C1916yes—
793#125C23×C1916yes—
794#125C23×C1913yes—
795#125C23×C1916yes—
796#125C23×C1916yes—
797#125C23×C19112yes—
798#124C23×C1916yes—
799#124C23×C1916yes—
800#124C23×C1916yes—
801#124C23×C1916yes—
802#124C23×C1913yes—
803#124C23×C1912yes—
804#124C23×C1916yes—
805#124C23×C1916yes—
806#124C23×C1913yes—
807#124C23×C1916yes—
808#124C23×C1916yes—
809#124C23×C1916yes—
810#124C23×C19112yes—
811#124C23×C19112yes—
812#124C23×C19112yes—
813#124C23×C19112yes—
814#124C23×C19112yes—
815#123C23×C1912yes—
816#123C23×C1916yes—
817#123C23×C1916yes—
818#123C23×C1916yes—
819#123C23×C19112yes—
820#123C23×C1916yes—
821#123C23×C1916yes—
822#123C23×C19112yes—
823#123C23×C19112yes—
824#123C23×C1916yes—
825#123C23×C1916yes—
826#123C23×C1916yes—
827#123C23×C1916yes—
828#123C23×C1916yes—
829#123C23×C1916yes—
830#123C23×C19112yes—
831#123C23×C19112yes—
832#123C23×C19112yes—
833#123C23×C19112yes—
834#123C23×C19112yes—
835C22⋊Q8C23×C1916yes—
836C22⋊Q8C23×C1916yes—
837C22⋊Q8C23×C1916yes—
838C22⋊Q8C23×C1916yes—
839C22⋊Q8C23×C19112yes—
840C22⋊Q8C23×C1916yes—
841C22⋊Q8C23×C1916yes—
842C22⋊Q8C23×C19112yes—
843C22⋊Q8C23×C1916yes—
844C22⋊Q8C23×C1916yes—
845C22⋊Q8C23×C1916yes—
846C22⋊Q8C23×C1916yes—
847C22⋊Q8C23×C1916yes—
848C22⋊Q8C23×C1916yes—
849C22⋊Q8C23×C1916yes—
850C22⋊Q8C23×C1916yes—
851C22⋊Q8C23×C1916yes—
852C22⋊Q8C23×C1916yes—
853C22⋊Q8C23×C1913yes—
854C22⋊Q8C23×C1911yescharacteristic
855C22⋊Q8C23×C1916yes—
856C22⋊Q8C23×C1916yes—
857C22⋊Q8C23×C19112yes—
858C22⋊Q8C23×C19112yes—
859C22⋊Q8C23×C19112yes—
860C22⋊Q8C23×C19112yes—
861#121C23×C1916yes—
862#121C23×C1916yes—
863#121C23×C19112yes—
864#121C23×C1912yes—
865#121C23×C1916yes—
866#121C23×C1916yes—
867#121C23×C1916yes—
868#121C23×C1916yes—
869#121C23×C1916yes—
870#121C23×C1916yes—
871#121C23×C1916yes—
872#121C23×C1916yes—
873#121C23×C1916yes—
874#121C23×C1916yes—
875#121C23×C1916yes—
876#121C23×C1911yescharacteristic
877#121C23×C1913yes—
878#121C23×C1916yes—
879#121C23×C1916yes—
880#121C23×C19112yes—
881#121C23×C19112yes—
882#121C23×C19112yes—
883#121C23×C19112yes—
884#121C23×C19112yes—
885#121C23×C19112yes—
886#121C23×C19112yes—
887#120C23×C1912yes—
888#120C23×C1916yes—
889#120C23×C1916yes—
890#120C23×C1916yes—
891#120C23×C1916yes—
892#120C23×C1916yes—
893#120C23×C19112yes—
894#120C23×C19112yes—
895#120C23×C19112yes—
896C4×Q8C23×C1911yescharacteristic
897C4×Q8C23×C1911yescharacteristic
898C4×Q8C23×C1913yes—
899C4×Q8C23×C1913yes—
900C4×Q8C23×C1912yes—
901C4×Q8C23×C1912yes—
902C4×Q8C23×C1916yes—
903C4×Q8C23×C1916yes—
904C4×Q8C23×C1916yes—
905C4×Q8C23×C1916yes—
906C4×Q8C23×C19112yes—
907C4×Q8C23×C1913yes—
908C4×Q8C23×C1913yes—
909C4×Q8C23×C1916yes—
910C4×D4C23×C1912yes—
911C4×D4C23×C1916yes—
912C4×D4C23×C1916yes—
913C4×D4C23×C1916yes—
914C4×D4C23×C1916yes—
915C4×D4C23×C1916yes—
916C4×D4C23×C1916yes—
917C4×D4C23×C1916yes—
918C4×D4C23×C1916yes—
919C4×D4C23×C1916yes—
920C4×D4C23×C1916yes—
921C4×D4C23×C1916yes—
922C4×D4C23×C1916yes—
923C4×D4C23×C1916yes—
924C4×D4C23×C19112yes—
925C4×D4C23×C19112yes—
926C4×D4C23×C1916yes—
927C4×D4C23×C1916yes—
928C4×D4C23×C1913yes—
929C4×D4C23×C1916yes—
930C4×D4C23×C1913yes—
931C4×D4C23×C1916yes—
932C4×D4C23×C19112yes—
933C4×D4C23×C19112yes—
934C4×D4C23×C19112yes—
935C4×D4C23×C19112yes—
936C4×D4C23×C1916yes—
937#117C23×C1916yes—
938#117C23×C1916yes—
939#117C23×C1916yes—
940#117C23×C1916yes—
941#117C23×C1916yes—
942#117C23×C1916yes—
943#117C23×C19112yes—
944#117C23×C1916yes—
945#117C23×C19112yes—
946C2×C4⋊C4C23×C1913yes—
947C2×C4⋊C4C23×C1916yes—
948C2×C4⋊C4C23×C1913yes—
949C2×C4⋊C4C23×C1916yes—
950C2×C4⋊C4C23×C19112yes—
951C2×C22⋊C4C23×C1911yescharacteristic
952C2×C22⋊C4C23×C1913yes—
953C2×C22⋊C4C23×C1916yes—
954C2×C22⋊C4C23×C1916yes—
955C2×C22⋊C4C23×C1916yes—
956C2×C22⋊C4C23×C19112yes—
957C2×C42C23×C1913yes—
958C2×C42C23×C1916yes—
959C19#6289711yescharacteristic, direct product factor, Sylow
960C24C24×C1913yes—
961C24C24×C1911yescharacteristic
962C24C24×C1916yes—
963#41—28no—
964#41—28no—
965#41—412no—
966#41—412no—
967#41—412no—
968#41—412no—
969#41—412no—
970#41—412no—
971#41—412no—
972C2×Q8—24no—
973C2×Q8—28no—
974C2×Q8—28no—
975C2×Q8—46no—
976C2×Q8—412no—
977C2×Q8—412no—
978C2×Q8C24×C1916yes—
979C2×Q8C24×C1913yes—
980C2×Q8C24×C1916yes—
981C2×Q8C24×C1911yescharacteristic
982C2×Q8C24×C1913yes—
983C2×Q8C24×C1916yes—
984C2×Q8C24×C1916yes—
985C2×Q8C24×C1916yes—
986C2×Q8C24×C1911yescharacteristic
987C2×D4—46no—
988C2×D4—412no—
989C2×D4—46no—
990C2×D4—412no—
991C2×D4C24×C1916yes—
992C2×D4C24×C1912yes—
993C2×D4C24×C1916yes—
994C2×D4C24×C1916yes—
995C2×D4C24×C1911yescharacteristic
996C2×D4C24×C1912yes—
997C2×D4C24×C19112yes—
998C2×D4C24×C1913yes—
999C2×D4C24×C1916yes—
1000C2×D4C24×C1916yes—
1001C2×D4C24×C1916yes—
1002C2×D4C24×C1916yes—
1003C2×D4C24×C1916yes—
1004C2×D4C24×C1916yes—
1005C2×D4C24×C1912yes—
1006C2×D4C24×C1916yes—
1007C2×D4C24×C1916yes—
1008C2×D4C24×C1916yes—
1009C2×D4C24×C19112yes—
1010C22×C4—46no—
1011C22×C4—46no—
1012C22×C4—412no—
1013C22×C4C24×C1913yes—
1014C22×C4C24×C1913yes—
1015C22×C4C24×C1916yes—
1016C22×C4C24×C1916yes—
1017C22×C4C24×C1916yes—
1018C22×C4C24×C1916yes—
1019C22×C4C24×C1911yescharacteristic
1020C22×C4C24×C1916yes—
1021C22×C4C24×C1916yes—
1022C22×C4C24×C1913yes—
1023C22×C4C24×C1911yescharacteristic
1024C22×C4C24×C19112yes—
1025C22×C4C24×C1916yes—
1026C22×C4C24×C19112yes—
1027C22×C4C24×C1916yes—
1028C22×C4C24×C1916yes—
1029C22×C4C24×C1916yes—
1030C22×C4C24×C1912yes—
1031C4⋊C4C24×C1916yes—
1032C4⋊C4C24×C1912yes—
1033C4⋊C4C24×C1913yes—
1034C4⋊C4C24×C1916yes—
1035C4⋊C4C24×C1916yes—
1036C4⋊C4C24×C1916yes—
1037C4⋊C4C24×C1916yes—
1038C4⋊C4C24×C1913yes—
1039C4⋊C4C24×C1916yes—
1040C4⋊C4C24×C1916yes—
1041C4⋊C4C24×C1916yes—
1042C4⋊C4C24×C19112yes—
1043C4⋊C4C24×C1916yes—
1044C4⋊C4C24×C1916yes—
1045C4⋊C4C24×C1916yes—
1046C4⋊C4C24×C1912yes—
1047C4⋊C4C24×C1916yes—
1048C4⋊C4C24×C1916yes—
1049C4⋊C4C24×C1916yes—
1050C4⋊C4C24×C1916yes—
1051C4⋊C4C24×C1916yes—
1052C4⋊C4C24×C1916yes—
1053C4⋊C4C24×C1911yescharacteristic
1054C4⋊C4C24×C1916yes—
1055C4⋊C4C24×C19112yes—
1056C4⋊C4C24×C1916yes—
1057C4⋊C4C24×C1913yes—
1058C4⋊C4C24×C1913yes—
1059C4⋊C4C24×C1911yescharacteristic
1060C22⋊C4C24×C1912yes—
1061C22⋊C4C24×C1912yes—
1062C22⋊C4C24×C1916yes—
1063C22⋊C4C24×C1916yes—
1064C22⋊C4C24×C19112yes—
1065C22⋊C4C24×C1916yes—
1066C22⋊C4C24×C1916yes—
1067C22⋊C4C24×C19112yes—
1068C22⋊C4C24×C19112yes—
1069C22⋊C4C24×C1912yes—
1070C22⋊C4C24×C1912yes—
1071C22⋊C4C24×C1916yes—
1072C22⋊C4C24×C1916yes—
1073C22⋊C4C24×C1916yes—
1074C22⋊C4C24×C1916yes—
1075C22⋊C4C24×C1916yes—
1076C22⋊C4C24×C1916yes—
1077C22⋊C4C24×C1912yes—
1078C22⋊C4C24×C1916yes—
1079C22⋊C4C24×C1912yes—
1080C22⋊C4C24×C1916yes—
1081C22⋊C4C24×C19112yes—
1082C22⋊C4C24×C19112yes—
1083C22⋊C4C24×C1916yes—
1084C22⋊C4C24×C1916yes—
1085C22⋊C4C24×C1912yes—
1086C22⋊C4C24×C1916yes—
1087C22⋊C4C24×C1916yes—
1088C22⋊C4C24×C1916yes—
1089C22⋊C4C24×C19112yes—
1090C42C24×C1912yes—
1091C42C24×C1916yes—
1092C42C24×C1913yes—
1093C42C24×C1916yes—
1094C42C24×C1916yes—
1095C42C24×C1913yes—
1096C42C24×C1913yes—
1097C42C24×C1913yes—
1098C42C24×C19112yes—
1099C42C24×C19112yes—
1100C23—22no—
1101C23—26no—
1102C23—41no—
1103C23—41no—
1104C23—43no—
1105C23—46no—
1106C23—46no—
1107C23—43no—
1108C23—46no—
1109C23C25×C1912yes—
1110C23C25×C1916yes—
1111C23C25×C1912yes—
1112C23C25×C1916yes—
1113C23C25×C1911yescharacteristic
1114Q8—212no—
1115Q8—26no—
1116Q8—212no—
1117Q8—46no—
1118Q8—46no—
1119Q8—46no—
1120Q8—41no—
1121Q8—43no—
1122Q8C19×H(5,𝔽2)14yes—
1123D4—24no—
1124D4—212no—
1125D4—212no—
1126D4—212no—
1127D4—412no—
1128D4—46no—
1129D4—46no—
1130D4—46no—
1131D4—46no—
1132D4—46no—
1133D4—42no—
1134D4—46no—
1135D4—46no—
1136D4—46no—
1137D4—42no—
1138D4—412no—
1139D4—46no—
1140D4—43no—
1141D4—41no—
1142C2×C4—26no—
1143C2×C4—26no—
1144C2×C4—212no—
1145C2×C4—212no—
1146C2×C4—212no—
1147C2×C4—212no—
1148C2×C4—41no—
1149C2×C4—42no—
1150C2×C4—46no—
1151C2×C4—43no—
1152C2×C4—46no—
1153C2×C4—46no—
1154C2×C4—46no—
1155C2×C4—46no—
1156C2×C4—412no—
1157C2×C4—412no—
1158C2×C4—46no—
1159C2×C4—41no—
1160C2×C4C25×C1911yescharacteristic
1161C2×C4C25×C1916yes—
1162C2×C4C25×C1911yescharacteristic
1163C2×C4C25×C1913yes—
1164C2×C4C25×C1912yes—
1165C2×C4C25×C1916yes—
1166C2×C4C25×C1912yes—
1167C2×C4C25×C1912yes—
1168C2×C4C25×C1916yes—
1169C2×C4C25×C1913yes—
1170C2×C4C25×C1913yes—
1171C2×C4C25×C1916yes—
1172C2×C4C25×C1912yes—
1173C2×C4C25×C1913yes—
1174C22—21no—
1175C22—21no—
1176C22—22no—
1177C22—22no—
1178C22—26no—
1179C22—26no—
1180C22—26no—
1181C22—26no—
1182C22—22no—
1183C22—22no—
1184C22—26no—
1185C22—22no—
1186C22—26no—
1187C22—22no—
1188C22—44no—
1189C22—86no—
1190C22—812no—
1191C22C19×#58512yes—
1192C22C26×C1911yescharacteristic
1193C4—22no—
1194C4—22no—
1195C4—26no—
1196C4—23no—
1197C4—26no—
1198C4—23no—
1199C4—23no—
1200C4—22no—
1201C4—26no—
1202C4—22no—
1203C4—26no—
1204C4—21no—
1205C4—21no—
1206C4C2×C19×H(5,𝔽2)16yes—
1207C2—22no—
1208C2—42no—
1209C2—42no—
1210C2—46no—
1211C2—46no—
1212C2C22×C19×H(5,𝔽2)11yescharacteristic
1213C2C2×C19×#58511yescharacteristic
1214C2C19×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C19C26
commutator, Frattini, cosocleC22C26×C19
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3562C2semidirect
2. C19×#3561C2semidirect
3. C19×#3558C2semidirect
4. C19×#3554C2semidirect
5. C19×#3542C2semidirect
6. C19×#3541C2semidirect
7. C19×#3540C2semidirect
8. C19×#3524C2semidirect
9. C19×#3523C2semidirect
10. C19×#3522C2semidirect
11. C19×#3520C2semidirect
12. C19×#3518C2semidirect
13. C19×#3506C2semidirect
14. C19×#3489C2semidirect
15. C19×#3487C2semidirect
16. C19×#3486C2semidirect
17. D4×#41×C19C2semidirect
18. C2×C19×#548C2semidirect
19. C19×#3459C2semidirect
20. C2×C19×2−1+4C22semidirect
22. C22×#41×C19C22semidirect
23. C23×Q8×C19C22semidirect
24. C19×#563C22semidirect
25. C19×#562C22semidirect
26. C19×#562C22semidirect
27. C19×#562C22semidirect
28. C19×H(3,𝔽4)C22semidirect
29. C19×#560C22semidirect
30. C19×#559C22semidirect
31. C19×#559C22semidirect
32. C19×#559C22semidirect
33. Q82×C19C22semidirect
34. C19×#557C22semidirect
35. C19×#557C22semidirect
36. C19×#556C22semidirect
37. C19×#556C22semidirect
38. C19×#556C22semidirect
39. C19×#556C22semidirect
40. C19×#555C22semidirect
41. C19×#555C22semidirect
42. C19×#554C22semidirect
43. C19×#554C22semidirect
44. C19×#553C22semidirect
45. C19×#553C22semidirect
46. C19×#552C22semidirect
47. C19×#552C22semidirect
48. C19×#551C22semidirect
49. C19×#551C22semidirect
50. C19×#550C22semidirect
51. C19×#550C22semidirect
52. C19×#550C22semidirect
53. C19×#550C22semidirect
54. D4×Q8×C19C22semidirect
55. D4×Q8×C19C22semidirect
56. D4×Q8×C19C22semidirect
57. D4×Q8×C19C22semidirect
58. D4×Q8×C19C22semidirect
59. C19×#548C22semidirect
60. C19×#548C22semidirect
61. C19×#548C22semidirect
62. C19×#548C22semidirect
63. C19×#548C22semidirect
64. C19×#548C22semidirect
65. C19×#548C22semidirect
66. C19×#548C22semidirect
67. C19×#548C22semidirect
68. C19×#548C22semidirect
69. C19×#548C22semidirect
70. C19×#547C22semidirect
71. C19×#547C22semidirect
72. C19×#547C22semidirect
73. C19×#547C22semidirect
74. C19×#546C22semidirect
75. C19×#546C22semidirect
76. C19×#546C22semidirect
77. C19×#546C22semidirect
78. C19×#546C22semidirect
79. D42×C19C22semidirect
80. C19×#543C22semidirect
81. C19×#542C22semidirect
82. C19×#542C22semidirect
83. C19×#542C22semidirect
84. C19×#542C22semidirect
85. C19×#542C22semidirect
86. C19×#542C22semidirect
87. C19×#541C22semidirect
88. C19×#540C22semidirect
89. C19×#540C22semidirect
90. C19×#539C22semidirect
91. C19×#539C22semidirect
92. C19×#539C22semidirect
93. C19×#539C22semidirect
95. C19×#538C22semidirect
96. C19×#538C22semidirect
97. C19×#538C22semidirect
98. C19×#538C22semidirect
99. C19×#538C22semidirect
100. C19×#538C22semidirect
101. C19×#537C22semidirect
102. C19×#536C22semidirect
103. C19×#536C22semidirect
104. C19×#536C22semidirect
105. C19×#535C22semidirect
106. C19×#535C22semidirect
107. C19×#535C22semidirect
109. C19×#534C22semidirect
110. C19×#533C22semidirect
111. C19×#533C22semidirect
112. C19×#532C22semidirect
113. C19×#532C22semidirect
115. C19×#529C22semidirect
116. C19×#529C22semidirect
117. C19×#529C22semidirect
118. C19×#529C22semidirect
119. C2×C19×#124C22semidirect
120. C19×#525C22semidirect
121. C19×#525C22semidirect
122. C19×#525C22semidirect
123. C19×#525C22semidirect
124. C19×#525C22semidirect
125. C19×#525C22semidirect
126. C19×#525C22semidirect
127. C2×C19×C22⋊Q8C22semidirect
128. C2×C19×C22⋊Q8C22semidirect
129. C2×C19×#121C22semidirect
130. C19×#520C22semidirect
131. C19×#520C22semidirect
132. C19×#519C22semidirect
133. C19×#519C22semidirect
134. C4×#41×C19C22semidirect
135. C2×C4×Q8×C19C22semidirect
136. C2×C4×D4×C19C22semidirect
137. C2×C4×D4×C19C22semidirect
492. #62897C19direct (N × H)
567. #3562C2×C19semidirect
568. #3561C2×C19semidirect
569. #3558C2×C19semidirect
570. #3554C2×C19semidirect
571. #3542C2×C19semidirect
572. #3541C2×C19semidirect
573. #3540C2×C19semidirect
574. #3524C2×C19semidirect
575. #3523C2×C19semidirect
576. #3522C2×C19semidirect
577. #3520C2×C19semidirect
578. #3518C2×C19semidirect
579. #3506C2×C19semidirect
580. #3489C2×C19semidirect
581. #3487C2×C19semidirect
582. #3486C2×C19semidirect
583. D4×#41C2×C19semidirect
584. C2×#548C2×C19semidirect
585. #3459C2×C19semidirect
619. C2×2−1+4C22×C19semidirect
621. C22×#41C22×C19semidirect
622. C23×Q8C22×C19semidirect
623. #563C22×C19semidirect
624. #562C22×C19semidirect
625. #562C22×C19semidirect
626. #562C22×C19semidirect
627. H(3,𝔽4)C22×C19semidirect
628. #560C22×C19semidirect
629. #559C22×C19semidirect
630. #559C22×C19semidirect
631. #559C22×C19semidirect
632. Q82C22×C19semidirect
633. #557C22×C19semidirect
634. #557C22×C19semidirect
635. #556C22×C19semidirect
636. #556C22×C19semidirect
637. #556C22×C19semidirect
638. #556C22×C19semidirect
639. #555C22×C19semidirect
640. #555C22×C19semidirect
641. #554C22×C19semidirect
642. #554C22×C19semidirect
643. #553C22×C19semidirect
644. #553C22×C19semidirect
645. #552C22×C19semidirect
646. #552C22×C19semidirect
647. #551C22×C19semidirect
648. #551C22×C19semidirect
649. #550C22×C19semidirect
650. #550C22×C19semidirect
651. #550C22×C19semidirect
652. #550C22×C19semidirect
653. D4×Q8C22×C19semidirect
654. D4×Q8C22×C19semidirect
655. D4×Q8C22×C19semidirect
656. D4×Q8C22×C19semidirect
657. D4×Q8C22×C19semidirect
658. #548C22×C19semidirect
659. #548C22×C19semidirect
660. #548C22×C19semidirect
661. #548C22×C19semidirect
662. #548C22×C19semidirect
663. #548C22×C19semidirect
664. #548C22×C19semidirect
665. #548C22×C19semidirect
666. #548C22×C19semidirect
667. #548C22×C19semidirect
668. #548C22×C19semidirect
669. #547C22×C19semidirect
670. #547C22×C19semidirect
671. #547C22×C19semidirect
672. #547C22×C19semidirect
673. #546C22×C19semidirect
674. #546C22×C19semidirect
675. #546C22×C19semidirect
676. #546C22×C19semidirect
677. #546C22×C19semidirect
678. D42C22×C19semidirect
679. #543C22×C19semidirect
680. #542C22×C19semidirect
681. #542C22×C19semidirect
682. #542C22×C19semidirect
683. #542C22×C19semidirect
684. #542C22×C19semidirect
685. #542C22×C19semidirect
686. #541C22×C19semidirect
687. #540C22×C19semidirect
688. #540C22×C19semidirect
689. #539C22×C19semidirect
690. #539C22×C19semidirect
691. #539C22×C19semidirect
692. #539C22×C19semidirect
694. #538C22×C19semidirect
695. #538C22×C19semidirect
696. #538C22×C19semidirect
697. #538C22×C19semidirect
698. #538C22×C19semidirect
699. #538C22×C19semidirect
700. #537C22×C19semidirect
701. #536C22×C19semidirect
702. #536C22×C19semidirect
703. #536C22×C19semidirect
704. #535C22×C19semidirect
705. #535C22×C19semidirect
706. #535C22×C19semidirect
708. #534C22×C19semidirect
709. #533C22×C19semidirect
710. #533C22×C19semidirect
711. #532C22×C19semidirect
712. #532C22×C19semidirect
714. #529C22×C19semidirect
715. #529C22×C19semidirect
716. #529C22×C19semidirect
717. #529C22×C19semidirect
718. C2×#124C22×C19semidirect
719. #525C22×C19semidirect
720. #525C22×C19semidirect
721. #525C22×C19semidirect
722. #525C22×C19semidirect
723. #525C22×C19semidirect
724. #525C22×C19semidirect
725. #525C22×C19semidirect
726. C2×C22⋊Q8C22×C19semidirect
727. C2×C22⋊Q8C22×C19semidirect
728. C2×#121C22×C19semidirect
729. #520C22×C19semidirect
730. #520C22×C19semidirect
731. #519C22×C19semidirect
732. #519C22×C19semidirect
733. C4×#41C22×C19semidirect
734. C2×C4×Q8C22×C19semidirect
735. C2×C4×D4C22×C19semidirect
736. C2×C4×D4C22×C19semidirect
959. C19#62897direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35622
C19×#35612
C19×#35582
C19×#35542
C19×#35422
C19×#35412
C19×#35402
C19×#35242
C19×#35232
C19×#35222
C19×#35202
C19×#35182
C19×#35062
C19×#34892
C19×#34872
C19×#34862
D4×#41×C192
C2×C19×#5482
C19×#34592
#6289719