Finite Group Databasebeta

← C19×#61790 #18067749

Subgroups — C19×#61790 #18067749

Order 4864.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3551C211yesmaximal, characteristic, complemented
2C19×#3512C211yesmaximal, characteristic, complemented
3C19×#3355C211yesmaximal, characteristic, complemented
4C19×#3352C211yesmaximal, characteristic, complemented
5C19×#3351C211yesmaximal, characteristic, complemented
6C19×#3351C211yesmaximal, characteristic, complemented
7C19×#3339C211yesmaximal, characteristic, complemented
8C19×#3337C211yesmaximal, characteristic, complemented
9C19×#3337C211yesmaximal, characteristic, complemented
10C19×#3336C211yesmaximal, characteristic, complemented
11C19×#3327C211yesmaximal, characteristic, complemented
12C19×#3326C211yesmaximal, characteristic, complemented
13C19×#3323C211yesmaximal, characteristic, complemented
14C19×#3322C211yesmaximal, characteristic, complemented
15C19×#3301C211yesmaximal, characteristic, complemented
16C19×#3300C211yesmaximal, characteristic, complemented
17C19×#3297C211yesmaximal, characteristic, complemented
18C19×#3296C211yesmaximal, characteristic, complemented
19C19×#3232C211yesmaximal, characteristic, complemented
20C19×#3232C211yesmaximal, characteristic, complemented
21C19×#3204C211yesmaximal, characteristic, complemented
22C19×#3203C211yesmaximal, characteristic, complemented
23C19×#3201C211yesmaximal, characteristic, complemented
24C19×#3198C211yesmaximal, characteristic, complemented
25C19×#3102C211yesmaximal, characteristic, complemented
26C19×#3102C211yesmaximal, characteristic, complemented
27C19×#3099C211yesmaximal, characteristic, complemented
28C19×#3098C211yesmaximal, characteristic, complemented
29C19×#3097C211yesmaximal, characteristic, complemented
30C19×#3096C211yesmaximal, characteristic, complemented
31C19×#2979C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#560—21no—
34C19×#555—21no—
35C19×#553—21no—
36C19×#553—21no—
37C19×#553—21no—
38C19×#553—21no—
39C19×#553C2211yescharacteristic
40C19×#553C2211yescharacteristic
41C19×#553C2211yescharacteristic
42C19×#553C2211yescharacteristic
43C19×#553C2211yescharacteristic, complemented
44C19×#553C2211yescharacteristic, complemented
45C19×#552C2211yescharacteristic
46C19×#552C2211yescharacteristic
47C19×#552C2211yescharacteristic
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic, complemented
50C19×#552C2211yescharacteristic, complemented
51C19×#551—21no—
52C19×#548C2211yescharacteristic
53C19×#548C2211yescharacteristic
54C19×#546C2211yescharacteristic
55C19×#546C2211yescharacteristic
56C19×#541—21no—
57C19×#540—21no—
58C19×#540—21no—
59C19×#540—21no—
60C19×#538—21no—
61C19×#538—21no—
62C19×#537C2211yescharacteristic
63C19×#537C2211yescharacteristic
64C19×#537C2211yescharacteristic
65C19×#537C2211yescharacteristic, complemented
66C19×#536C2211yescharacteristic
67C19×#535C2211yescharacteristic
68C19×#532C2211yescharacteristic
69C19×#529—21no—
70C19×#529—21no—
71C19×#529C2211yescharacteristic
72C19×#529C2211yescharacteristic
73C2×C19×#125C2211yescharacteristic, complemented
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic, complemented
76C4×#41×C19C2211yescharacteristic, complemented
77C19×#499C2211yescharacteristic, complemented
78C19×#499C2211yescharacteristic, complemented
79C19×#499C2211yescharacteristic, complemented
80C19×#499C2211yescharacteristic, complemented
81C19×#488C2211yescharacteristic
82C19×#488C2211yescharacteristic
83C19×#488C2211yescharacteristic
84C19×#488C2211yescharacteristic
85C19×#485C2211yescharacteristic
86C19×#485C2211yescharacteristic
87C19×#485C2211yescharacteristic
88C19×#485C2211yescharacteristic, complemented
89C19×#485C2211yescharacteristic, complemented
90C19×#485C2211yescharacteristic, complemented
91C19×#485C2211yescharacteristic, complemented
92C19×#485C2211yescharacteristic, complemented
93C19×#484C2211yescharacteristic
94C19×#484C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic, complemented
96C19×#484C2211yescharacteristic, complemented
97C19×#484C2211yescharacteristic, complemented
98C19×#483C2211yescharacteristic
99C19×#483C2211yescharacteristic, complemented
100C19×#483C2211yescharacteristic, complemented
101C19×#483C2211yescharacteristic, complemented
102C19×#483C2211yescharacteristic, complemented
103C19×#482C2211yescharacteristic
104C19×#482C2211yescharacteristic
105C19×#482C2211yescharacteristic
106C19×#482C2211yescharacteristic
107C19×#482C2211yescharacteristic
108C19×#482C2211yescharacteristic
109C19×#482C2211yescharacteristic
110C19×#482C2211yescharacteristic, complemented
111C19×#481C2211yescharacteristic
112C19×#481C2211yescharacteristic
113C19×#481C2211yescharacteristic
114C19×#481C2211yescharacteristic
115C19×#481C2211yescharacteristic, complemented
116C19×#480C2211yescharacteristic
117C19×#480C2211yescharacteristic
118C19×#480C2211yescharacteristic
119C19×#480C2211yescharacteristic
120C19×#480C2211yescharacteristic, complemented
121C19×#479C2211yescharacteristic, complemented
122C19×#479C2211yescharacteristic, complemented
123C19×#479C2211yescharacteristic, complemented
124C19×#479C2211yescharacteristic, complemented
125C19×#479C2211yescharacteristic, complemented
126C19×#479C2211yescharacteristic, complemented
127C19×#478C2211yescharacteristic
128C19×#478C2211yescharacteristic
129C19×#478C2211yescharacteristic
130C19×#478C2211yescharacteristic
131C19×#478C2211yescharacteristic, complemented
132C19×#478C2211yescharacteristic, complemented
133C19×#470C2211yescharacteristic
134C19×#470C2211yescharacteristic, complemented
135C19×#469C2211yescharacteristic
136C19×#469C2211yescharacteristic
137C19×#468C2211yescharacteristic
138C19×#468C2211yescharacteristic
139C19×#468C2211yescharacteristic
140C19×#468C2211yescharacteristic, complemented
141C19×#467C2211yescharacteristic
142C19×#467C2211yescharacteristic, complemented
143C19×#466C2211yescharacteristic
144C19×#466C2211yescharacteristic
145C19×#465C2211yescharacteristic
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#463C2211yescharacteristic
152C19×#463C2211yescharacteristic
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic, complemented
156C19×#452C2211yescharacteristic, complemented
157C19×#451C2211yescharacteristic, complemented
158C19×#450C2211yescharacteristic
159C19×#449C2211yescharacteristic
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#448C2211yescharacteristic, complemented
164C19×#447C2211yescharacteristic
165C4×Q16×C19C2211yescharacteristic, complemented
166C4×Q16×C19C2211yescharacteristic, complemented
167C4×SD16×C19C2211yescharacteristic
168C4×SD16×C19C2211yescharacteristic
169C4×SD16×C19C2211yescharacteristic, complemented
170C4×SD16×C19C2211yescharacteristic, complemented
171C4×D8×C19C2211yescharacteristic
172C4×D8×C19C2211yescharacteristic
173C19×#436C2211yescharacteristic
174C19×#436C2211yescharacteristic
175C19×#436C2211yescharacteristic, complemented
176C19×#436C2211yescharacteristic, complemented
177C8×D4×C19C2211yescharacteristic
178C8×D4×C19C2211yescharacteristic
179C8×D4×C19C2211yescharacteristic, complemented
180C8×D4×C19C2211yescharacteristic, complemented
181C19×#431C2211yescharacteristic, complemented
182C19×#431C2211yescharacteristic, complemented
183C19×#428C2211yescharacteristic
184C19×#428C2211yescharacteristic, complemented
185C19×#428C2211yescharacteristic, complemented
186C19×#428C2211yescharacteristic, complemented
187C19×#427C2211yescharacteristic
188C19×#427C2211yescharacteristic, complemented
189C2×C19×#107C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic, complemented
191C19×#419C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic
193C19×#417C2211yescharacteristic
194C19×#417C2211yescharacteristic
195C19×#416C2211yescharacteristic
196C19×#416C2211yescharacteristic
197C2×C19×#103C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic
199C19×#408C2211yescharacteristic
200C19×#408C2211yescharacteristic
201C19×#408C2211yescharacteristic, complemented
202C19×#408C2211yescharacteristic, complemented
203C2×#41×C19C2311yescharacteristic
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C2×#41×C19C2311yescharacteristic
208C22×Q8×C19C2311yescharacteristic
209C22×D4×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×SD16×C19C2311yescharacteristic
216C2×D8×C19C2311yescharacteristic
217C2×D8×C19C2311yescharacteristic
218C2×M16×C19C2311yescharacteristic
219C2×M16×C19C2311yescharacteristic
220C2×M16×C19C2311yescharacteristic
221C2×M16×C19C2311yescharacteristic
222C22×C8×C19C2311yescharacteristic
223C22×C8×C19C2311yescharacteristic
224C22×C8×C19C2311yescharacteristic
225C22×C8×C19C2311yescharacteristic
226C19×C4⋊Q8—21no—
227C19×C4⋊Q8D411yescharacteristic
228C19×#127—21no—
229C19×#127D411yescharacteristic
230C19×#126—21no—
231C19×#126—21no—
232C19×#126—21no—
233C19×#126—21no—
234C19×#126—21no—
235C19×#126—21no—
236C19×#126—21no—
237C19×#126—21no—
238C19×#126—21no—
239C19×#126—21no—
240C19×#126—21no—
241C19×#126—21no—
242C19×#126—21no—
243C19×#126—21no—
244C19×#125—21no—
245C19×#125—21no—
246C19×#125—21no—
247C19×#125—21no—
248C19×#125—21no—
249C19×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125C2311yescharacteristic
253C19×#125C2311yescharacteristic
254C19×#125C2311yescharacteristic
255C19×#125C2311yescharacteristic
256C19×#125C2311yescharacteristic
257C19×#125C2311yescharacteristic
258C19×#124—21no—
259C19×#124—21no—
260C19×#124—21no—
261C19×#124—21no—
262C19×#124D411yescharacteristic
263C19×#124D411yescharacteristic
264C19×#124C2311yescharacteristic
265C19×#124C2311yescharacteristic
266C19×#123—21no—
267C19×#123—21no—
268C19×#123—21no—
269C19×#123—21no—
270C19×#123—21no—
271C19×#123—21no—
272C19×#123—21no—
273C19×#123—21no—
274C19×#123—21no—
275C19×#123—21no—
276C19×#123—21no—
277C19×#123—21no—
278C19×#123—21no—
279C19×#123—21no—
280C19×#123—21no—
281C19×#123—21no—
282C19×#123—21no—
283C19×#123—21no—
284C19×C22⋊Q8—21no—
285C19×C22⋊Q8—21no—
286C19×C22⋊Q8—21no—
287C19×C22⋊Q8—21no—
288C19×C22⋊Q8—21no—
289C19×C22⋊Q8—21no—
290C19×C22⋊Q8C2311yescharacteristic
291C19×C22⋊Q8C2311yescharacteristic
292C19×C22⋊Q8C2311yescharacteristic
293C19×C22⋊Q8C2311yescharacteristic
294C19×C22⋊Q8C2311yescharacteristic
295C19×C22⋊Q8C2311yescharacteristic
296C19×C22⋊Q8C2311yescharacteristic
297C19×C22⋊Q8C2311yescharacteristic
298C19×C22⋊Q8C2311yescharacteristic
299C19×C22⋊Q8C2311yescharacteristic
300C19×#121—21no—
301C19×#121—21no—
302C19×#121—21no—
303C19×#121—21no—
304C19×#121—21no—
305C19×#121—21no—
306C19×#121—21no—
307C19×#121—21no—
308C19×#121—21no—
309C19×#121—21no—
310C19×#121—21no—
311C19×#121—21no—
312C19×#121—21no—
313C19×#121—21no—
314C19×#121—21no—
315C19×#121—21no—
316C19×#121—21no—
317C19×#121—21no—
318C19×#121—21no—
319C19×#121—21no—
320C19×#121—21no—
321C19×#121—21no—
322C19×#121D411yescharacteristic
323C19×#121D411yescharacteristic
324C19×#121D411yescharacteristic
325C19×#121D411yescharacteristic
326C19×#121C2311yescharacteristic
327C19×#121C2311yescharacteristic
328C19×#121C2311yescharacteristic
329C19×#121C2311yescharacteristic
330C19×#121C2311yescharacteristic
331C19×#121C2311yescharacteristic
332C19×#121C2311yescharacteristic
333C19×#121C2311yescharacteristic
334C19×#121C2311yescharacteristic
335C19×#121C2311yescharacteristic
336C19×#120—21no—
337C19×#120—21no—
338C19×#120—21no—
339C19×#120—21no—
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
342C4×Q8×C19C2311yescharacteristic
343C4×Q8×C19C2311yescharacteristic
344C4×Q8×C19C2311yescharacteristic
345C4×Q8×C19C2311yescharacteristic
346C4×D4×C19—21no—
347C4×D4×C19—21no—
348C4×D4×C19—21no—
349C4×D4×C19—21no—
350C4×D4×C19—21no—
351C4×D4×C19—21no—
352C4×D4×C19—21no—
353C4×D4×C19—21no—
354C4×D4×C19—21no—
355C4×D4×C19—21no—
356C4×D4×C19—21no—
357C4×D4×C19—21no—
358C4×D4×C19—21no—
359C4×D4×C19—21no—
360C4×D4×C19—21no—
361C4×D4×C19—21no—
362C4×D4×C19—21no—
363C4×D4×C19—21no—
364C4×D4×C19C2311yescharacteristic
365C4×D4×C19C2311yescharacteristic
366C4×D4×C19C2311yescharacteristic
367C4×D4×C19C2311yescharacteristic
368C4×D4×C19C2311yescharacteristic
369C4×D4×C19C2311yescharacteristic
370C4×D4×C19C2311yescharacteristic
371C4×D4×C19C2311yescharacteristic
372C19×#117—21no—
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117—21no—
378C19×#117—21no—
379C19×#117—21no—
380C19×#117—21no—
381C19×#117C2311yescharacteristic
382C19×#117C2311yescharacteristic
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C19×#117C2311yescharacteristic
388C2×C4⋊C4×C19—21no—
389C2×C4⋊C4×C19—21no—
390C2×C4⋊C4×C19C2311yescharacteristic
391C2×C4⋊C4×C19C2311yescharacteristic
392C2×C4⋊C4×C19C2311yescharacteristic
393C2×C4⋊C4×C19C2311yescharacteristic
394C2×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C4⋊C4×C19C2311yescharacteristic
397C2×C4⋊C4×C19C2311yescharacteristic
398C2×C22⋊C4×C19—21no—
399C2×C22⋊C4×C19—21no—
400C2×C42×C19—21no—
401C2×C42×C19C2311yescharacteristic
402C19×#107C2311yescharacteristic
403C19×#107C2311yescharacteristic
404C19×#107C2311yescharacteristic
405C19×#107C2311yescharacteristic
406C19×#107C2311yescharacteristic
407C19×#107C2311yescharacteristic
408C19×#107C2311yescharacteristic
409C19×#107C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#107C2311yescharacteristic
413C19×#107C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×#106C2311yescharacteristic
419C19×#106C2311yescharacteristic
420C19×#106C2311yescharacteristic
421C19×#106C2311yescharacteristic
422C19×#106C2311yescharacteristic
423C19×#106C2311yescharacteristic
424C19×#106C2311yescharacteristic
425C19×#106C2311yescharacteristic
426C19×C4⋊C8C2311yescharacteristic
427C19×C4⋊C8C2311yescharacteristic
428C19×C4⋊C8C2311yescharacteristic
429C19×C4⋊C8C2311yescharacteristic
430C19×#103C2311yescharacteristic
431C19×#103C2311yescharacteristic
432C19×#103C2311yescharacteristic
433C19×#103C2311yescharacteristic
434C19×#103C2311yescharacteristic
435C19×#103C2311yescharacteristic
436C19×#103C2311yescharacteristic
437C19×#103C2311yescharacteristic
438C19×#103C2311yescharacteristic
439C19×#103C2311yescharacteristic
440C19×#103C2311yescharacteristic
441C19×#103C2311yescharacteristic
442C19×#103C2311yescharacteristic
443C19×#103C2311yescharacteristic
444C19×#103C2311yescharacteristic
445C19×#103C2311yescharacteristic
446C19×#102C2311yescharacteristic
447C19×#102C2311yescharacteristic
448C19×#102C2311yescharacteristic
449C19×#102C2311yescharacteristic
450C19×#102C2311yescharacteristic
451C19×#102C2311yescharacteristic
452C19×#102C2311yescharacteristic
453C19×#102C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×C22⋊C8C2311yescharacteristic
463C19×C22⋊C8C2311yescharacteristic
464C19×C22⋊C8C2311yescharacteristic
465C19×C22⋊C8C2311yescharacteristic
466C19×C22⋊C8C2311yescharacteristic
467C19×C22⋊C8C2311yescharacteristic
468C19×C22⋊C8C2311yescharacteristic
469C19×C22⋊C8C2311yescharacteristic
470C19×C22⋊C8C2311yescharacteristic
471C19×C22⋊C8C2311yescharacteristic
472C19×C22⋊C8C2311yescharacteristic
473C19×C22⋊C8C2311yescharacteristic
474C4×C8×C19C2311yescharacteristic
475C4×C8×C19C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478C24×C19—21no—
479#41×C19—41no—
480#41×C19—41no—
481#41×C19—41no—
482#41×C19—41no—
483#41×C19—41no—
484#41×C19—41no—
485#41×C19—41no—
486#41×C19—41no—
487#41×C19—41no—
488#41×C19—41no—
489C2×Q8×C19—21no—
490C2×Q8×C19—41no—
491C2×Q8×C19—41no—
492C2×Q8×C19C2×D411yescharacteristic
493C2×Q8×C19C2×D411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×Q8×C19C2411yescharacteristic
496C2×Q8×C19C2411yescharacteristic
497C2×D4×C19—21no—
498C2×D4×C19—21no—
499C2×D4×C19—21no—
500C2×D4×C19—21no—
501C2×D4×C19—21no—
502C2×D4×C19—21no—
503C2×D4×C19—21no—
504C2×D4×C19—21no—
505C2×D4×C19—21no—
506C2×D4×C19—21no—
507C2×D4×C19—21no—
508C2×D4×C19—21no—
509C2×D4×C19—21no—
510C2×D4×C19—21no—
511C2×D4×C19—41no—
512C2×D4×C19—41no—
513C2×D4×C19C2×D411yescharacteristic
514C2×D4×C19C2×D411yescharacteristic
515C2×D4×C19C2×D411yescharacteristic
516C2×D4×C19C2×D411yescharacteristic
517C2×D4×C19C2×D411yescharacteristic
518C2×D4×C19C2×D411yescharacteristic
519C2×D4×C19C2×D411yescharacteristic
520C2×D4×C19C2×D411yescharacteristic
521C2×D4×C19C2×D411yescharacteristic
522C2×D4×C19C2×D411yescharacteristic
523C2×D4×C19C2411yescharacteristic
524C2×D4×C19C2411yescharacteristic
525C2×D4×C19C2411yescharacteristic
526C22×C4×C19—21no—
527C22×C4×C19—21no—
528C22×C4×C19—21no—
529C22×C4×C19—21no—
530C22×C4×C19—21no—
531C22×C4×C19—21no—
532C22×C4×C19—21no—
533C22×C4×C19—21no—
534C22×C4×C19—21no—
535C22×C4×C19—21no—
536C22×C4×C19—21no—
537C22×C4×C19—21no—
538C22×C4×C19—21no—
539C22×C4×C19—21no—
540C22×C4×C19—21no—
541C22×C4×C19—21no—
542C22×C4×C19C2×D411yescharacteristic
543C22×C4×C19C2×D411yescharacteristic
544C22×C4×C19C2411yescharacteristic
545C22×C4×C19C2411yescharacteristic
546C22×C4×C19C2411yescharacteristic
547C22×C4×C19C2411yescharacteristic
548C22×C4×C19C2411yescharacteristic
549Q16×C19—41no—
550Q16×C19—41no—
551SD16×C19—41no—
552SD16×C19—41no—
553SD16×C19—41no—
554SD16×C19—41no—
555D8×C19—41no—
556D8×C19—41no—
557M16×C19—41no—
558M16×C19—41no—
559M16×C19—41no—
560M16×C19—41no—
561C2×C8×C19—41no—
562C2×C8×C19—41no—
563C2×C8×C19—41no—
564C2×C8×C19—41no—
565C2×C8×C19C2411yescharacteristic
566C2×C8×C19C2411yescharacteristic
567C2×C8×C19C2411yescharacteristic
568C2×C8×C19C2411yescharacteristic
569C2×C8×C19C2411yescharacteristic
570C2×C8×C19C2411yescharacteristic
571C2×C8×C19C2411yescharacteristic
572C2×C8×C19C2411yescharacteristic
573C4⋊C4×C19—21no—
574C4⋊C4×C19—21no—
575C4⋊C4×C19—21no—
576C4⋊C4×C19—21no—
577C4⋊C4×C19—21no—
578C4⋊C4×C19—21no—
579C4⋊C4×C19—21no—
580C4⋊C4×C19—21no—
581C4⋊C4×C19—21no—
582C4⋊C4×C19—21no—
583C4⋊C4×C19—21no—
584C4⋊C4×C19—21no—
585C4⋊C4×C19—21no—
586C4⋊C4×C19—21no—
587C4⋊C4×C19—21no—
588C4⋊C4×C19—21no—
589C4⋊C4×C19—21no—
590C4⋊C4×C19—21no—
591C4⋊C4×C19—21no—
592C4⋊C4×C19—21no—
593C4⋊C4×C19—21no—
594C4⋊C4×C19—21no—
595C4⋊C4×C19—21no—
596C4⋊C4×C19—21no—
597C4⋊C4×C19—21no—
598C4⋊C4×C19—21no—
599C4⋊C4×C19—21no—
600C4⋊C4×C19—21no—
601C4⋊C4×C19—21no—
602C4⋊C4×C19—21no—
603C4⋊C4×C19—21no—
604C4⋊C4×C19—21no—
605C4⋊C4×C19—21no—
606C4⋊C4×C19—21no—
607C4⋊C4×C19C2×D411yescharacteristic
608C4⋊C4×C19C2×D411yescharacteristic
609C4⋊C4×C19C2×D411yescharacteristic
610C4⋊C4×C19C2×D411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C4⋊C4×C19C2411yescharacteristic
615C4⋊C4×C19C2411yescharacteristic
616C4⋊C4×C19C2411yescharacteristic
617C4⋊C4×C19C2411yescharacteristic
618C4⋊C4×C19C2411yescharacteristic
619C4⋊C4×C19C2411yescharacteristic
620C4⋊C4×C19C2411yescharacteristic
621C22⋊C4×C19—21no—
622C22⋊C4×C19—21no—
623C22⋊C4×C19—21no—
624C22⋊C4×C19—21no—
625C22⋊C4×C19—21no—
626C22⋊C4×C19—21no—
627C22⋊C4×C19—21no—
628C22⋊C4×C19—21no—
629C22⋊C4×C19—21no—
630C22⋊C4×C19—21no—
631C22⋊C4×C19—21no—
632C22⋊C4×C19—21no—
633C22⋊C4×C19—21no—
634C22⋊C4×C19—21no—
635C22⋊C4×C19—21no—
636C22⋊C4×C19—21no—
637C22⋊C4×C19—21no—
638C22⋊C4×C19—21no—
639C22⋊C4×C19—21no—
640C22⋊C4×C19—21no—
641C22⋊C4×C19—21no—
642C22⋊C4×C19—21no—
643C22⋊C4×C19—21no—
644C22⋊C4×C19—21no—
645C22⋊C4×C19—21no—
646C22⋊C4×C19—21no—
647C22⋊C4×C19—21no—
648C22⋊C4×C19—21no—
649C22⋊C4×C19—21no—
650C22⋊C4×C19—21no—
651C22⋊C4×C19—21no—
652C22⋊C4×C19—21no—
653C22⋊C4×C19—21no—
654C22⋊C4×C19—21no—
655C22⋊C4×C19—21no—
656C22⋊C4×C19C2×D411yescharacteristic
657C22⋊C4×C19C2×D411yescharacteristic
658C22⋊C4×C19C2×D411yescharacteristic
659C22⋊C4×C19C2×D411yescharacteristic
660C22⋊C4×C19C2×D411yescharacteristic
661C22⋊C4×C19C2×D411yescharacteristic
662C22⋊C4×C19C2×D411yescharacteristic
663C22⋊C4×C19C2×D411yescharacteristic
664C42×C19—21no—
665C42×C19—21no—
666C42×C19—21no—
667C42×C19—21no—
668C42×C19—21no—
669C42×C19—21no—
670C42×C19—21no—
671C42×C19—21no—
672C42×C19—21no—
673C42×C19—21no—
674C42×C19—21no—
675C42×C19C2×D411yescharacteristic
676C42×C19C2×D411yescharacteristic
677C42×C19C2411yescharacteristic
678C42×C19C2411yescharacteristic
679#61790C1911yesmaximal, characteristic, direct product factor, Sylow
680C23×C19—21no—
681C23×C19—21no—
682C23×C19—21no—
683C23×C19—81no—
684C23×C19—81no—
685C23×C19—81no—
686C23×C19C22×D411yescharacteristic
687C23×C19C22×D411yescharacteristic
688C23×C19C22×D411yescharacteristic
689C23×C19C22×D411yescharacteristic
690C23×C19C22×D411yescharacteristic
691Q8×C19—21no—
692Q8×C19—21no—
693Q8×C19—21no—
694Q8×C19—21no—
695Q8×C19—21no—
696Q8×C19—21no—
697Q8×C19—41no—
698Q8×C19—41no—
699Q8×C19—81no—
700D4×C19—21no—
701D4×C19—21no—
702D4×C19—21no—
703D4×C19—21no—
704D4×C19—21no—
705D4×C19—21no—
706D4×C19—41no—
707D4×C19—41no—
708D4×C19—41no—
709D4×C19—41no—
710D4×C19—41no—
711D4×C19—41no—
712D4×C19—41no—
713D4×C19—41no—
714D4×C19—41no—
715D4×C19—41no—
716D4×C19—42no—
717D4×C19—81no—
718D4×C19—81no—
719D4×C19—81no—
720D4×C19—81no—
721D4×C19—81no—
722D4×C19—81no—
723D4×C19—81no—
724D4×C19—81no—
725D4×C19—81no—
726D4×C19—81no—
727D4×C19—81no—
728D4×C19—81no—
729D4×C19—81no—
730C2×C4×C19—21no—
731C2×C4×C19—21no—
732C2×C4×C19—21no—
733C2×C4×C19—21no—
734C2×C4×C19—21no—
735C2×C4×C19—21no—
736C2×C4×C19—21no—
737C2×C4×C19—21no—
738C2×C4×C19—21no—
739C2×C4×C19—21no—
740C2×C4×C19—21no—
741C2×C4×C19—21no—
742C2×C4×C19—21no—
743C2×C4×C19—21no—
744C2×C4×C19—21no—
745C2×C4×C19—21no—
746C2×C4×C19—21no—
747C2×C4×C19—21no—
748C2×C4×C19—21no—
749C2×C4×C19—21no—
750C2×C4×C19—21no—
751C2×C4×C19—21no—
752C2×C4×C19—21no—
753C2×C4×C19—41no—
754C2×C4×C19—41no—
755C2×C4×C19—42no—
756C2×C4×C19—81no—
757C2×C4×C19—81no—
758C2×C4×C19—81no—
759C2×C4×C19—81no—
760C2×C4×C19—81no—
761C2×C4×C19—81no—
762C2×C4×C19—81no—
763C2×C4×C19—81no—
764C2×C4×C19—81no—
765C2×C4×C19—81no—
766C2×C4×C19—81no—
767C2×C4×C19—81no—
768C2×C4×C19—81no—
769C2×C4×C19—81no—
770C2×C4×C19—81no—
771C2×C4×C19C22×D411yescharacteristic
772C2×C4×C19C22×D411yescharacteristic
773C2×C4×C19C22×D411yescharacteristic
774C2×C4×C19C22×D411yescharacteristic
775C2×C4×C19C22×D411yescharacteristic
776C2×C4×C19C22×D411yescharacteristic
777C2×C4×C19C22×D411yescharacteristic
778C2×C4×C19C22×D411yescharacteristic
779C2×C4×C19C22×D411yescharacteristic
780C2×C4×C19C2511yescharacteristic
781C8×C19—21no—
782C8×C19—21no—
783C8×C19—21no—
784C8×C19—21no—
785C8×C19—21no—
786C8×C19—21no—
787C8×C19—21no—
788C8×C19—21no—
789#3551C2×C1911yescharacteristic, complemented
790#3512C2×C1911yescharacteristic, complemented
791#3355C2×C1911yescharacteristic, complemented
792#3352C2×C1911yescharacteristic, complemented
793#3351C2×C1911yescharacteristic, complemented
794#3351C2×C1911yescharacteristic, complemented
795#3339C2×C1911yescharacteristic, complemented
796#3337C2×C1911yescharacteristic, complemented
797#3337C2×C1911yescharacteristic, complemented
798#3336C2×C1911yescharacteristic, complemented
799#3327C2×C1911yescharacteristic, complemented
800#3326C2×C1911yescharacteristic, complemented
801#3323C2×C1911yescharacteristic, complemented
802#3322C2×C1911yescharacteristic, complemented
803#3301C2×C1911yescharacteristic, complemented
804#3300C2×C1911yescharacteristic, complemented
805#3297C2×C1911yescharacteristic, complemented
806#3296C2×C1911yescharacteristic, complemented
807#3232C2×C1911yescharacteristic, complemented
808#3232C2×C1911yescharacteristic, complemented
809#3204C2×C1911yescharacteristic, complemented
810#3203C2×C1911yescharacteristic, complemented
811#3201C2×C1911yescharacteristic, complemented
812#3198C2×C1911yescharacteristic, complemented
813#3102C2×C1911yescharacteristic, complemented
814#3102C2×C1911yescharacteristic, complemented
815#3099C2×C1911yescharacteristic, complemented
816#3098C2×C1911yescharacteristic, complemented
817#3097C2×C1911yescharacteristic, complemented
818#3096C2×C1911yescharacteristic, complemented
819#2979C2×C1911yescharacteristic, complemented
820C22×C19—21no—
821C22×C19—21no—
822C22×C19—21no—
823C22×C19—21no—
824C22×C19—21no—
825C22×C19—21no—
826C22×C19—21no—
827C22×C19—21no—
828C22×C19—21no—
829C22×C19—21no—
830C22×C19—21no—
831C22×C19—21no—
832C22×C19—21no—
833C22×C19—21no—
834C22×C19—21no—
835C22×C19—41no—
836C22×C19—41no—
837C22×C19—41no—
838C22×C19—41no—
839C22×C19—41no—
840C22×C19—41no—
841C22×C19—41no—
842C22×C19—41no—
843C22×C19—41no—
844C22×C19—162no—
845C22×C19C23×D411yescharacteristic
846C4×C19—21no—
847C4×C19—21no—
848C4×C19—21no—
849C4×C19—21no—
850C4×C19—21no—
851C4×C19—21no—
852C4×C19—21no—
853C4×C19—21no—
854C4×C19—21no—
855C4×C19—41no—
856C4×C19—41no—
857C4×C19—41no—
858C4×C19—41no—
859C4×C19—41no—
860C4×C19—41no—
861C4×C19—41no—
862C4×C19—41no—
863C4×C19—41no—
864C4×C19—41no—
865C4×C19—41no—
866C4×C19—41no—
867C4×C19—41no—
868C4×C19#58511yescharacteristic
869C4×C19#58511yescharacteristic
870#563—21no—
871#560—21no—
872#555—21no—
873#553—21no—
874#553—21no—
875#553—21no—
876#553—21no—
877#553C22×C1911yescharacteristic
878#553C22×C1911yescharacteristic
879#553C22×C1911yescharacteristic
880#553C22×C1911yescharacteristic
881#553C22×C1911yescharacteristic, complemented
882#553C22×C1911yescharacteristic, complemented
883#552C22×C1911yescharacteristic
884#552C22×C1911yescharacteristic
885#552C22×C1911yescharacteristic
886#552C22×C1911yescharacteristic
887#552C22×C1911yescharacteristic, complemented
888#552C22×C1911yescharacteristic, complemented
889#551—21no—
890#548C22×C1911yescharacteristic
891#548C22×C1911yescharacteristic
892#546C22×C1911yescharacteristic
893#546C22×C1911yescharacteristic
894#541—21no—
895#540—21no—
896#540—21no—
897#540—21no—
898#538—21no—
899#538—21no—
900#537C22×C1911yescharacteristic
901#537C22×C1911yescharacteristic
902#537C22×C1911yescharacteristic
903#537C22×C1911yescharacteristic, complemented
904#536C22×C1911yescharacteristic
905#535C22×C1911yescharacteristic
906#532C22×C1911yescharacteristic
907#529—21no—
908#529—21no—
909#529C22×C1911yescharacteristic
910#529C22×C1911yescharacteristic
911C2×#125C22×C1911yescharacteristic, complemented
912#520C22×C1911yescharacteristic
913#520C22×C1911yescharacteristic, complemented
914C4×#41C22×C1911yescharacteristic, complemented
915#499C22×C1911yescharacteristic, complemented
916#499C22×C1911yescharacteristic, complemented
917#499C22×C1911yescharacteristic, complemented
918#499C22×C1911yescharacteristic, complemented
919#488C22×C1911yescharacteristic
920#488C22×C1911yescharacteristic
921#488C22×C1911yescharacteristic
922#488C22×C1911yescharacteristic
923#485C22×C1911yescharacteristic
924#485C22×C1911yescharacteristic
925#485C22×C1911yescharacteristic
926#485C22×C1911yescharacteristic, complemented
927#485C22×C1911yescharacteristic, complemented
928#485C22×C1911yescharacteristic, complemented
929#485C22×C1911yescharacteristic, complemented
930#485C22×C1911yescharacteristic, complemented
931#484C22×C1911yescharacteristic
932#484C22×C1911yescharacteristic, complemented
933#484C22×C1911yescharacteristic, complemented
934#484C22×C1911yescharacteristic, complemented
935#484C22×C1911yescharacteristic, complemented
936#483C22×C1911yescharacteristic
937#483C22×C1911yescharacteristic, complemented
938#483C22×C1911yescharacteristic, complemented
939#483C22×C1911yescharacteristic, complemented
940#483C22×C1911yescharacteristic, complemented
941#482C22×C1911yescharacteristic
942#482C22×C1911yescharacteristic
943#482C22×C1911yescharacteristic
944#482C22×C1911yescharacteristic
945#482C22×C1911yescharacteristic
946#482C22×C1911yescharacteristic
947#482C22×C1911yescharacteristic
948#482C22×C1911yescharacteristic, complemented
949#481C22×C1911yescharacteristic
950#481C22×C1911yescharacteristic
951#481C22×C1911yescharacteristic
952#481C22×C1911yescharacteristic
953#481C22×C1911yescharacteristic, complemented
954#480C22×C1911yescharacteristic
955#480C22×C1911yescharacteristic
956#480C22×C1911yescharacteristic
957#480C22×C1911yescharacteristic
958#480C22×C1911yescharacteristic, complemented
959#479C22×C1911yescharacteristic, complemented
960#479C22×C1911yescharacteristic, complemented
961#479C22×C1911yescharacteristic, complemented
962#479C22×C1911yescharacteristic, complemented
963#479C22×C1911yescharacteristic, complemented
964#479C22×C1911yescharacteristic, complemented
965#478C22×C1911yescharacteristic
966#478C22×C1911yescharacteristic
967#478C22×C1911yescharacteristic
968#478C22×C1911yescharacteristic
969#478C22×C1911yescharacteristic, complemented
970#478C22×C1911yescharacteristic, complemented
971#470C22×C1911yescharacteristic
972#470C22×C1911yescharacteristic, complemented
973#469C22×C1911yescharacteristic
974#469C22×C1911yescharacteristic
975#468C22×C1911yescharacteristic
976#468C22×C1911yescharacteristic
977#468C22×C1911yescharacteristic
978#468C22×C1911yescharacteristic, complemented
979#467C22×C1911yescharacteristic
980#467C22×C1911yescharacteristic, complemented
981#466C22×C1911yescharacteristic
982#466C22×C1911yescharacteristic
983#465C22×C1911yescharacteristic
984#465C22×C1911yescharacteristic
985#465C22×C1911yescharacteristic
986#465C22×C1911yescharacteristic, complemented
987#464C22×C1911yescharacteristic
988#464C22×C1911yescharacteristic
989#463C22×C1911yescharacteristic
990#463C22×C1911yescharacteristic
991#452C22×C1911yescharacteristic
992#452C22×C1911yescharacteristic
993#452C22×C1911yescharacteristic, complemented
994#452C22×C1911yescharacteristic, complemented
995#451C22×C1911yescharacteristic, complemented
996#450C22×C1911yescharacteristic
997#449C22×C1911yescharacteristic
998#449C22×C1911yescharacteristic
999#449C22×C1911yescharacteristic
1000#449C22×C1911yescharacteristic
1001#448C22×C1911yescharacteristic, complemented
1002#447C22×C1911yescharacteristic
1003C4×Q16C22×C1911yescharacteristic, complemented
1004C4×Q16C22×C1911yescharacteristic, complemented
1005C4×SD16C22×C1911yescharacteristic
1006C4×SD16C22×C1911yescharacteristic
1007C4×SD16C22×C1911yescharacteristic, complemented
1008C4×SD16C22×C1911yescharacteristic, complemented
1009C4×D8C22×C1911yescharacteristic
1010C4×D8C22×C1911yescharacteristic
1011#436C22×C1911yescharacteristic
1012#436C22×C1911yescharacteristic
1013#436C22×C1911yescharacteristic, complemented
1014#436C22×C1911yescharacteristic, complemented
1015C8×D4C22×C1911yescharacteristic
1016C8×D4C22×C1911yescharacteristic
1017C8×D4C22×C1911yescharacteristic, complemented
1018C8×D4C22×C1911yescharacteristic, complemented
1019#431C22×C1911yescharacteristic, complemented
1020#431C22×C1911yescharacteristic, complemented
1021#428C22×C1911yescharacteristic
1022#428C22×C1911yescharacteristic, complemented
1023#428C22×C1911yescharacteristic, complemented
1024#428C22×C1911yescharacteristic, complemented
1025#427C22×C1911yescharacteristic
1026#427C22×C1911yescharacteristic, complemented
1027C2×#107C22×C1911yescharacteristic, complemented
1028C2×#106C22×C1911yescharacteristic, complemented
1029#419C22×C1911yescharacteristic, complemented
1030#418C22×C1911yescharacteristic
1031#417C22×C1911yescharacteristic
1032#417C22×C1911yescharacteristic
1033#416C22×C1911yescharacteristic
1034#416C22×C1911yescharacteristic
1035C2×#103C22×C1911yescharacteristic, complemented
1036C2×#102C22×C1911yescharacteristic
1037#408C22×C1911yescharacteristic
1038#408C22×C1911yescharacteristic
1039#408C22×C1911yescharacteristic, complemented
1040#408C22×C1911yescharacteristic, complemented
1041C2×C19—41no—
1042C2×C19—41no—
1043C2×C19—41no—
1044C2×C19—41no—
1045C2×C19—41no—
1046C2×C19—81no—
1047C2×C19—81no—
1048C2×C19—81no—
1049C2×C19#348511yescharacteristic
1050C2×C19#358411yescharacteristic
1051C2×C19#358411yescharacteristic
1052C2×#41C23×C1911yescharacteristic
1053C2×#41C23×C1911yescharacteristic
1054C2×#41C23×C1911yescharacteristic
1055C2×#41C23×C1911yescharacteristic
1056C2×#41C23×C1911yescharacteristic
1057C22×Q8C23×C1911yescharacteristic
1058C22×D4C23×C1911yescharacteristic
1059C2×Q16C23×C1911yescharacteristic
1060C2×Q16C23×C1911yescharacteristic
1061C2×SD16C23×C1911yescharacteristic
1062C2×SD16C23×C1911yescharacteristic
1063C2×SD16C23×C1911yescharacteristic
1064C2×SD16C23×C1911yescharacteristic
1065C2×D8C23×C1911yescharacteristic
1066C2×D8C23×C1911yescharacteristic
1067C2×M16C23×C1911yescharacteristic
1068C2×M16C23×C1911yescharacteristic
1069C2×M16C23×C1911yescharacteristic
1070C2×M16C23×C1911yescharacteristic
1071C22×C8C23×C1911yescharacteristic
1072C22×C8C23×C1911yescharacteristic
1073C22×C8C23×C1911yescharacteristic
1074C22×C8C23×C1911yescharacteristic
1075C4⋊Q8—21no—
1076C4⋊Q8D4×C1911yescharacteristic
1077#127—21no—
1078#127D4×C1911yescharacteristic
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125C23×C1911yescharacteristic
1102#125C23×C1911yescharacteristic
1103#125C23×C1911yescharacteristic
1104#125C23×C1911yescharacteristic
1105#125C23×C1911yescharacteristic
1106#125C23×C1911yescharacteristic
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124D4×C1911yescharacteristic
1112#124D4×C1911yescharacteristic
1113#124C23×C1911yescharacteristic
1114#124C23×C1911yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8C23×C1911yescharacteristic
1140C22⋊Q8C23×C1911yescharacteristic
1141C22⋊Q8C23×C1911yescharacteristic
1142C22⋊Q8C23×C1911yescharacteristic
1143C22⋊Q8C23×C1911yescharacteristic
1144C22⋊Q8C23×C1911yescharacteristic
1145C22⋊Q8C23×C1911yescharacteristic
1146C22⋊Q8C23×C1911yescharacteristic
1147C22⋊Q8C23×C1911yescharacteristic
1148C22⋊Q8C23×C1911yescharacteristic
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121D4×C1911yescharacteristic
1172#121D4×C1911yescharacteristic
1173#121D4×C1911yescharacteristic
1174#121D4×C1911yescharacteristic
1175#121C23×C1911yescharacteristic
1176#121C23×C1911yescharacteristic
1177#121C23×C1911yescharacteristic
1178#121C23×C1911yescharacteristic
1179#121C23×C1911yescharacteristic
1180#121C23×C1911yescharacteristic
1181#121C23×C1911yescharacteristic
1182#121C23×C1911yescharacteristic
1183#121C23×C1911yescharacteristic
1184#121C23×C1911yescharacteristic
1185#120—21no—
1186#120—21no—
1187#120—21no—
1188#120—21no—
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8C23×C1911yescharacteristic
1192C4×Q8C23×C1911yescharacteristic
1193C4×Q8C23×C1911yescharacteristic
1194C4×Q8C23×C1911yescharacteristic
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4C23×C1911yescharacteristic
1214C4×D4C23×C1911yescharacteristic
1215C4×D4C23×C1911yescharacteristic
1216C4×D4C23×C1911yescharacteristic
1217C4×D4C23×C1911yescharacteristic
1218C4×D4C23×C1911yescharacteristic
1219C4×D4C23×C1911yescharacteristic
1220C4×D4C23×C1911yescharacteristic
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117C23×C1911yescharacteristic
1231#117C23×C1911yescharacteristic
1232#117C23×C1911yescharacteristic
1233#117C23×C1911yescharacteristic
1234#117C23×C1911yescharacteristic
1235#117C23×C1911yescharacteristic
1236#117C23×C1911yescharacteristic
1237C2×C4⋊C4—21no—
1238C2×C4⋊C4—21no—
1239C2×C4⋊C4C23×C1911yescharacteristic
1240C2×C4⋊C4C23×C1911yescharacteristic
1241C2×C4⋊C4C23×C1911yescharacteristic
1242C2×C4⋊C4C23×C1911yescharacteristic
1243C2×C4⋊C4C23×C1911yescharacteristic
1244C2×C4⋊C4C23×C1911yescharacteristic
1245C2×C4⋊C4C23×C1911yescharacteristic
1246C2×C4⋊C4C23×C1911yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C42—21no—
1250C2×C42C23×C1911yescharacteristic
1251#107C23×C1911yescharacteristic
1252#107C23×C1911yescharacteristic
1253#107C23×C1911yescharacteristic
1254#107C23×C1911yescharacteristic
1255#107C23×C1911yescharacteristic
1256#107C23×C1911yescharacteristic
1257#107C23×C1911yescharacteristic
1258#107C23×C1911yescharacteristic
1259#107C23×C1911yescharacteristic
1260#107C23×C1911yescharacteristic
1261#107C23×C1911yescharacteristic
1262#107C23×C1911yescharacteristic
1263#106C23×C1911yescharacteristic
1264#106C23×C1911yescharacteristic
1265#106C23×C1911yescharacteristic
1266#106C23×C1911yescharacteristic
1267#106C23×C1911yescharacteristic
1268#106C23×C1911yescharacteristic
1269#106C23×C1911yescharacteristic
1270#106C23×C1911yescharacteristic
1271#106C23×C1911yescharacteristic
1272#106C23×C1911yescharacteristic
1273#106C23×C1911yescharacteristic
1274#106C23×C1911yescharacteristic
1275C4⋊C8C23×C1911yescharacteristic
1276C4⋊C8C23×C1911yescharacteristic
1277C4⋊C8C23×C1911yescharacteristic
1278C4⋊C8C23×C1911yescharacteristic
1279#103C23×C1911yescharacteristic
1280#103C23×C1911yescharacteristic
1281#103C23×C1911yescharacteristic
1282#103C23×C1911yescharacteristic
1283#103C23×C1911yescharacteristic
1284#103C23×C1911yescharacteristic
1285#103C23×C1911yescharacteristic
1286#103C23×C1911yescharacteristic
1287#103C23×C1911yescharacteristic
1288#103C23×C1911yescharacteristic
1289#103C23×C1911yescharacteristic
1290#103C23×C1911yescharacteristic
1291#103C23×C1911yescharacteristic
1292#103C23×C1911yescharacteristic
1293#103C23×C1911yescharacteristic
1294#103C23×C1911yescharacteristic
1295#102C23×C1911yescharacteristic
1296#102C23×C1911yescharacteristic
1297#102C23×C1911yescharacteristic
1298#102C23×C1911yescharacteristic
1299#102C23×C1911yescharacteristic
1300#102C23×C1911yescharacteristic
1301#102C23×C1911yescharacteristic
1302#102C23×C1911yescharacteristic
1303#102C23×C1911yescharacteristic
1304#102C23×C1911yescharacteristic
1305#102C23×C1911yescharacteristic
1306#102C23×C1911yescharacteristic
1307#102C23×C1911yescharacteristic
1308#102C23×C1911yescharacteristic
1309#102C23×C1911yescharacteristic
1310#102C23×C1911yescharacteristic
1311C22⋊C8C23×C1911yescharacteristic
1312C22⋊C8C23×C1911yescharacteristic
1313C22⋊C8C23×C1911yescharacteristic
1314C22⋊C8C23×C1911yescharacteristic
1315C22⋊C8C23×C1911yescharacteristic
1316C22⋊C8C23×C1911yescharacteristic
1317C22⋊C8C23×C1911yescharacteristic
1318C22⋊C8C23×C1911yescharacteristic
1319C22⋊C8C23×C1911yescharacteristic
1320C22⋊C8C23×C1911yescharacteristic
1321C22⋊C8C23×C1911yescharacteristic
1322C22⋊C8C23×C1911yescharacteristic
1323C4×C8C23×C1911yescharacteristic
1324C4×C8C23×C1911yescharacteristic
1325C4×C8C23×C1911yescharacteristic
1326C4×C8C23×C1911yescharacteristic
1327C19#6179011yescharacteristic, direct product factor, Sylow
1328C24—21no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C1911yescharacteristic
1343C2×Q8C2×D4×C1911yescharacteristic
1344C2×Q8C24×C1911yescharacteristic
1345C2×Q8C24×C1911yescharacteristic
1346C2×Q8C24×C1911yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4C2×D4×C1911yescharacteristic
1364C2×D4C2×D4×C1911yescharacteristic
1365C2×D4C2×D4×C1911yescharacteristic
1366C2×D4C2×D4×C1911yescharacteristic
1367C2×D4C2×D4×C1911yescharacteristic
1368C2×D4C2×D4×C1911yescharacteristic
1369C2×D4C2×D4×C1911yescharacteristic
1370C2×D4C2×D4×C1911yescharacteristic
1371C2×D4C2×D4×C1911yescharacteristic
1372C2×D4C2×D4×C1911yescharacteristic
1373C2×D4C24×C1911yescharacteristic
1374C2×D4C24×C1911yescharacteristic
1375C2×D4C24×C1911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4C2×D4×C1911yescharacteristic
1393C22×C4C2×D4×C1911yescharacteristic
1394C22×C4C24×C1911yescharacteristic
1395C22×C4C24×C1911yescharacteristic
1396C22×C4C24×C1911yescharacteristic
1397C22×C4C24×C1911yescharacteristic
1398C22×C4C24×C1911yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409M16—41no—
1410M16—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C1911yescharacteristic
1416C2×C8C24×C1911yescharacteristic
1417C2×C8C24×C1911yescharacteristic
1418C2×C8C24×C1911yescharacteristic
1419C2×C8C24×C1911yescharacteristic
1420C2×C8C24×C1911yescharacteristic
1421C2×C8C24×C1911yescharacteristic
1422C2×C8C24×C1911yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4C2×D4×C1911yescharacteristic
1458C4⋊C4C2×D4×C1911yescharacteristic
1459C4⋊C4C2×D4×C1911yescharacteristic
1460C4⋊C4C2×D4×C1911yescharacteristic
1461C4⋊C4C24×C1911yescharacteristic
1462C4⋊C4C24×C1911yescharacteristic
1463C4⋊C4C24×C1911yescharacteristic
1464C4⋊C4C24×C1911yescharacteristic
1465C4⋊C4C24×C1911yescharacteristic
1466C4⋊C4C24×C1911yescharacteristic
1467C4⋊C4C24×C1911yescharacteristic
1468C4⋊C4C24×C1911yescharacteristic
1469C4⋊C4C24×C1911yescharacteristic
1470C4⋊C4C24×C1911yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4C2×D4×C1911yescharacteristic
1507C22⋊C4C2×D4×C1911yescharacteristic
1508C22⋊C4C2×D4×C1911yescharacteristic
1509C22⋊C4C2×D4×C1911yescharacteristic
1510C22⋊C4C2×D4×C1911yescharacteristic
1511C22⋊C4C2×D4×C1911yescharacteristic
1512C22⋊C4C2×D4×C1911yescharacteristic
1513C22⋊C4C2×D4×C1911yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42C2×D4×C1911yescharacteristic
1526C42C2×D4×C1911yescharacteristic
1527C42C24×C1911yescharacteristic
1528C42C24×C1911yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—81no—
1533C23—81no—
1534C23—81no—
1535C23C22×D4×C1911yescharacteristic
1536C23C22×D4×C1911yescharacteristic
1537C23C22×D4×C1911yescharacteristic
1538C23C22×D4×C1911yescharacteristic
1539C23C22×D4×C1911yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—41no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C1911yescharacteristic
1621C2×C4C22×D4×C1911yescharacteristic
1622C2×C4C22×D4×C1911yescharacteristic
1623C2×C4C22×D4×C1911yescharacteristic
1624C2×C4C22×D4×C1911yescharacteristic
1625C2×C4C22×D4×C1911yescharacteristic
1626C2×C4C22×D4×C1911yescharacteristic
1627C2×C4C22×D4×C1911yescharacteristic
1628C2×C4C22×D4×C1911yescharacteristic
1629C2×C4C25×C1911yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—162no—
1663C22C23×D4×C1911yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4C19×#58511yescharacteristic
1687C4C19×#58511yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C19×#348511yescharacteristic
1697C2C19×#358411yescharacteristic
1698C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3551C2semidirect
2. C19×#3512C2semidirect
3. C19×#3355C2semidirect
4. C19×#3352C2semidirect
5. C19×#3351C2semidirect
6. C19×#3351C2semidirect
7. C19×#3339C2semidirect
8. C19×#3337C2semidirect
9. C19×#3337C2semidirect
10. C19×#3336C2semidirect
11. C19×#3327C2semidirect
12. C19×#3326C2semidirect
13. C19×#3323C2semidirect
14. C19×#3322C2semidirect
15. C19×#3301C2semidirect
16. C19×#3300C2semidirect
17. C19×#3297C2semidirect
18. C19×#3296C2semidirect
19. C19×#3232C2semidirect
20. C19×#3232C2semidirect
21. C19×#3204C2semidirect
22. C19×#3203C2semidirect
23. C19×#3201C2semidirect
24. C19×#3198C2semidirect
25. C19×#3102C2semidirect
26. C19×#3102C2semidirect
27. C19×#3099C2semidirect
28. C19×#3098C2semidirect
29. C19×#3097C2semidirect
30. C19×#3096C2semidirect
31. C19×#2979C2semidirect
43. C19×#553C22semidirect
44. C19×#553C22semidirect
49. C19×#552C22semidirect
50. C19×#552C22semidirect
65. C19×#537C22semidirect
73. C2×C19×#125C22semidirect
75. C19×#520C22semidirect
76. C4×#41×C19C22semidirect
77. C19×#499C22semidirect
78. C19×#499C22semidirect
79. C19×#499C22semidirect
80. C19×#499C22semidirect
88. C19×#485C22semidirect
89. C19×#485C22semidirect
90. C19×#485C22semidirect
91. C19×#485C22semidirect
92. C19×#485C22semidirect
94. C19×#484C22semidirect
95. C19×#484C22semidirect
96. C19×#484C22semidirect
97. C19×#484C22semidirect
99. C19×#483C22semidirect
100. C19×#483C22semidirect
101. C19×#483C22semidirect
102. C19×#483C22semidirect
110. C19×#482C22semidirect
115. C19×#481C22semidirect
120. C19×#480C22semidirect
121. C19×#479C22semidirect
122. C19×#479C22semidirect
123. C19×#479C22semidirect
124. C19×#479C22semidirect
125. C19×#479C22semidirect
126. C19×#479C22semidirect
131. C19×#478C22semidirect
132. C19×#478C22semidirect
134. C19×#470C22semidirect
140. C19×#468C22semidirect
142. C19×#467C22semidirect
148. C19×#465C22semidirect
155. C19×#452C22semidirect
156. C19×#452C22semidirect
157. C19×#451C22semidirect
163. C19×#448C22semidirect
165. C4×Q16×C19C22semidirect
166. C4×Q16×C19C22semidirect
169. C4×SD16×C19C22semidirect
170. C4×SD16×C19C22semidirect
175. C19×#436C22semidirect
176. C19×#436C22semidirect
179. C8×D4×C19C22semidirect
180. C8×D4×C19C22semidirect
181. C19×#431C22semidirect
182. C19×#431C22semidirect
184. C19×#428C22semidirect
185. C19×#428C22semidirect
186. C19×#428C22semidirect
188. C19×#427C22semidirect
189. C2×C19×#107C22semidirect
190. C2×C19×#106C22semidirect
191. C19×#419C22semidirect
197. C2×C19×#103C22semidirect
201. C19×#408C22semidirect
202. C19×#408C22semidirect
679. #61790C19direct (N × H)
789. #3551C2×C19semidirect
790. #3512C2×C19semidirect
791. #3355C2×C19semidirect
792. #3352C2×C19semidirect
793. #3351C2×C19semidirect
794. #3351C2×C19semidirect
795. #3339C2×C19semidirect
796. #3337C2×C19semidirect
797. #3337C2×C19semidirect
798. #3336C2×C19semidirect
799. #3327C2×C19semidirect
800. #3326C2×C19semidirect
801. #3323C2×C19semidirect
802. #3322C2×C19semidirect
803. #3301C2×C19semidirect
804. #3300C2×C19semidirect
805. #3297C2×C19semidirect
806. #3296C2×C19semidirect
807. #3232C2×C19semidirect
808. #3232C2×C19semidirect
809. #3204C2×C19semidirect
810. #3203C2×C19semidirect
811. #3201C2×C19semidirect
812. #3198C2×C19semidirect
813. #3102C2×C19semidirect
814. #3102C2×C19semidirect
815. #3099C2×C19semidirect
816. #3098C2×C19semidirect
817. #3097C2×C19semidirect
818. #3096C2×C19semidirect
819. #2979C2×C19semidirect
881. #553C22×C19semidirect
882. #553C22×C19semidirect
887. #552C22×C19semidirect
888. #552C22×C19semidirect
903. #537C22×C19semidirect
911. C2×#125C22×C19semidirect
913. #520C22×C19semidirect
914. C4×#41C22×C19semidirect
915. #499C22×C19semidirect
916. #499C22×C19semidirect
917. #499C22×C19semidirect
918. #499C22×C19semidirect
926. #485C22×C19semidirect
927. #485C22×C19semidirect
928. #485C22×C19semidirect
929. #485C22×C19semidirect
930. #485C22×C19semidirect
932. #484C22×C19semidirect
933. #484C22×C19semidirect
934. #484C22×C19semidirect
935. #484C22×C19semidirect
937. #483C22×C19semidirect
938. #483C22×C19semidirect
939. #483C22×C19semidirect
940. #483C22×C19semidirect
948. #482C22×C19semidirect
953. #481C22×C19semidirect
958. #480C22×C19semidirect
959. #479C22×C19semidirect
960. #479C22×C19semidirect
961. #479C22×C19semidirect
962. #479C22×C19semidirect
963. #479C22×C19semidirect
964. #479C22×C19semidirect
969. #478C22×C19semidirect
970. #478C22×C19semidirect
972. #470C22×C19semidirect
978. #468C22×C19semidirect
980. #467C22×C19semidirect
986. #465C22×C19semidirect
993. #452C22×C19semidirect
994. #452C22×C19semidirect
995. #451C22×C19semidirect
1001. #448C22×C19semidirect
1003. C4×Q16C22×C19semidirect
1004. C4×Q16C22×C19semidirect
1007. C4×SD16C22×C19semidirect
1008. C4×SD16C22×C19semidirect
1013. #436C22×C19semidirect
1014. #436C22×C19semidirect
1017. C8×D4C22×C19semidirect
1018. C8×D4C22×C19semidirect
1019. #431C22×C19semidirect
1020. #431C22×C19semidirect
1022. #428C22×C19semidirect
1023. #428C22×C19semidirect
1024. #428C22×C19semidirect
1026. #427C22×C19semidirect
1027. C2×#107C22×C19semidirect
1028. C2×#106C22×C19semidirect
1029. #419C22×C19semidirect
1035. C2×#103C22×C19semidirect
1039. #408C22×C19semidirect
1040. #408C22×C19semidirect
1327. C19#61790direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35512
C19×#35122
C19×#33552
C19×#33522
C19×#33512
C19×#33392
C19×#33372
C19×#33362
C19×#33272
C19×#33262
C19×#33232
C19×#33222
C19×#33012
C19×#33002
C19×#32972
C19×#32962
C19×#32322
C19×#32042
C19×#32032
C19×#32012
C19×#31982
C19×#31022
C19×#30992
C19×#30982
C19×#30972
C19×#30962
C19×#29792
#6179019