Finite Group Databasebeta

← C19×#61919 #18067878

Subgroups — C19×#61919 #18067878

Order 4864.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3557C211yesmaximal, characteristic, complemented
2C19×#3506C211yesmaximal, characteristic, complemented
3C19×#3403C211yesmaximal, characteristic, complemented
4C19×#3402C211yesmaximal, characteristic, complemented
5C19×#3401C211yesmaximal, characteristic, complemented
6C19×#3401C211yesmaximal, characteristic, complemented
7C19×#3399C211yesmaximal, characteristic, complemented
8C19×#3397C211yesmaximal, characteristic, complemented
9C19×#3396C211yesmaximal, characteristic, complemented
10C19×#3394C211yesmaximal, characteristic, complemented
11C19×#3377C211yesmaximal, characteristic, complemented
12C19×#3376C211yesmaximal, characteristic, complemented
13C19×#3371C211yesmaximal, characteristic, complemented
14C19×#3370C211yesmaximal, characteristic, complemented
15C19×#3368C211yesmaximal, characteristic, complemented
16C19×#3366C211yesmaximal, characteristic, complemented
17C19×#3365C211yesmaximal, characteristic, complemented
18C19×#3361C211yesmaximal, characteristic, complemented
19C19×#3224C211yesmaximal, characteristic, complemented
20C19×#3224C211yesmaximal, characteristic, complemented
21C19×#3222C211yesmaximal, characteristic, complemented
22C19×#3220C211yesmaximal, characteristic, complemented
23C19×#3219C211yesmaximal, characteristic, complemented
24C19×#3212C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic, complemented
26C19×#3124C211yesmaximal, characteristic, complemented
27C19×#3120C211yesmaximal, characteristic, complemented
28C19×#3119C211yesmaximal, characteristic, complemented
29C19×#3114C211yesmaximal, characteristic, complemented
30C19×#3105C211yesmaximal, characteristic, complemented
31C19×#2985C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#563—21no—
34C19×#559C2211yescharacteristic
35C19×#559C2211yescharacteristic
36C19×#559C2211yescharacteristic
37C19×#559C2211yescharacteristic
38C19×#559C2211yescharacteristic, complemented
39C19×#559C2211yescharacteristic, complemented
40C19×#557C2211yescharacteristic, complemented
41C19×#557C2211yescharacteristic, complemented
42C19×#556C2211yescharacteristic
43C19×#556C2211yescharacteristic
44C19×#556C2211yescharacteristic, complemented
45C19×#556C2211yescharacteristic, complemented
46C19×#555—21no—
47C19×#554C2211yescharacteristic, complemented
48C19×#554C2211yescharacteristic, complemented
49C19×#553—21no—
50C19×#553—21no—
51C19×#552—21no—
52C19×#552—21no—
53C19×#550C2211yescharacteristic
54C19×#550C2211yescharacteristic
55C19×#547—21no—
56C19×#542—21no—
57C19×#542—21no—
58C19×#542C2211yescharacteristic
59C19×#542C2211yescharacteristic
60C19×#541C2211yescharacteristic
61C19×#540C2211yescharacteristic
62C19×#539—21no—
63C19×#539—21no—
64C19×#538—21no—
65C19×#538—21no—
66C19×#535C2211yescharacteristic
67C19×#535C2211yescharacteristic
68C19×#533C2211yescharacteristic
69C19×#532C2211yescharacteristic
70C19×#529C2211yescharacteristic
71C19×#529C2211yescharacteristic
72C19×#525—21no—
73C19×#525—21no—
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic
76C2×C4×D4×C19C2211yescharacteristic
77C19×#497C2211yescharacteristic
78C19×#497C2211yescharacteristic, complemented
79C19×#496C2211yescharacteristic
80C19×#496C2211yescharacteristic
81C19×#496C2211yescharacteristic
82C19×#496C2211yescharacteristic, complemented
83C19×#495C2211yescharacteristic
84C19×#495C2211yescharacteristic
85C19×#495C2211yescharacteristic, complemented
86C19×#495C2211yescharacteristic, complemented
87C19×#493C2211yescharacteristic
88C19×#492C2211yescharacteristic
89C19×#491C2211yescharacteristic, complemented
90C19×#490C2211yescharacteristic
91C19×#490C2211yescharacteristic
92C19×#490C2211yescharacteristic, complemented
93C19×#489C2211yescharacteristic
94C19×#489C2211yescharacteristic
95C19×#488C2211yescharacteristic
96C19×#488C2211yescharacteristic
97C19×#488C2211yescharacteristic, complemented
98C19×#488C2211yescharacteristic, complemented
99C19×#486C2211yescharacteristic
100C19×#486C2211yescharacteristic
101C19×#484C2211yescharacteristic
102C19×#483C2211yescharacteristic
103C19×#481C2211yescharacteristic
104C19×#480C2211yescharacteristic
105C19×#479C2211yescharacteristic, complemented
106C19×#479C2211yescharacteristic, complemented
107C19×#478C2211yescharacteristic
108C19×#478C2211yescharacteristic
109C19×#478C2211yescharacteristic
110C19×#478C2211yescharacteristic
111C19×#478C2211yescharacteristic, complemented
112C19×#478C2211yescharacteristic, complemented
113C19×#477C2211yescharacteristic, complemented
114C19×#476C2211yescharacteristic, complemented
115C19×#475C2211yescharacteristic, complemented
116C19×#474C2211yescharacteristic, complemented
117C19×#464C2211yescharacteristic
118C19×#464C2211yescharacteristic
119C19×#464C2211yescharacteristic
120C19×#464C2211yescharacteristic
121C19×#464C2211yescharacteristic, complemented
122C19×#464C2211yescharacteristic, complemented
123C19×#464C2211yescharacteristic, complemented
124C19×#464C2211yescharacteristic, complemented
125C19×#463C2211yescharacteristic
126C19×#463C2211yescharacteristic
127C19×#463C2211yescharacteristic
128C19×#463C2211yescharacteristic
129C19×#463C2211yescharacteristic
130C19×#463C2211yescharacteristic
131C19×#463C2211yescharacteristic
132C19×#463C2211yescharacteristic
133C19×#463C2211yescharacteristic, complemented
134C19×#463C2211yescharacteristic, complemented
135C19×#463C2211yescharacteristic, complemented
136C19×#463C2211yescharacteristic, complemented
137C19×#462C2211yescharacteristic, complemented
138C19×#462C2211yescharacteristic, complemented
139C19×#461C2211yescharacteristic, complemented
140C19×#461C2211yescharacteristic, complemented
141C19×#460C2211yescharacteristic
142C19×#460C2211yescharacteristic
143C19×#460C2211yescharacteristic
144C19×#460C2211yescharacteristic
145C19×#460C2211yescharacteristic, complemented
146C19×#460C2211yescharacteristic, complemented
147C19×#459C2211yescharacteristic
148C19×#459C2211yescharacteristic
149C19×#459C2211yescharacteristic
150C19×#459C2211yescharacteristic
151C19×#459C2211yescharacteristic, complemented
152C19×#459C2211yescharacteristic, complemented
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic
156C19×#452C2211yescharacteristic
157C19×#450C2211yescharacteristic
158C19×#450C2211yescharacteristic
159C19×#449C2211yescharacteristic
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#447C2211yescharacteristic
164C19×#447C2211yescharacteristic
165C19×#446C2211yescharacteristic, complemented
166C19×#446C2211yescharacteristic, complemented
167C19×#446C2211yescharacteristic, complemented
168C19×#446C2211yescharacteristic, complemented
169C19×#446C2211yescharacteristic, complemented
170C19×#446C2211yescharacteristic, complemented
171C8×Q8×C19C2211yescharacteristic, complemented
172C8×Q8×C19C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic
174C19×#442C2211yescharacteristic
175C19×#442C2211yescharacteristic, complemented
176C19×#442C2211yescharacteristic, complemented
177C19×#441C2211yescharacteristic, complemented
178C19×#441C2211yescharacteristic, complemented
179C19×#440C2211yescharacteristic
180C19×#440C2211yescharacteristic
181C19×#440C2211yescharacteristic, complemented
182C19×#440C2211yescharacteristic, complemented
183C19×#440C2211yescharacteristic, complemented
184C19×#440C2211yescharacteristic, complemented
185C4×Q16×C19C2211yescharacteristic, complemented
186C4×Q16×C19C2211yescharacteristic, complemented
187C4×SD16×C19C2211yescharacteristic
188C4×SD16×C19C2211yescharacteristic
189C4×SD16×C19C2211yescharacteristic, complemented
190C4×SD16×C19C2211yescharacteristic, complemented
191C4×SD16×C19C2211yescharacteristic, complemented
192C4×SD16×C19C2211yescharacteristic, complemented
193C4×D8×C19C2211yescharacteristic
194C4×D8×C19C2211yescharacteristic
195C4×D8×C19C2211yescharacteristic, complemented
196C4×D8×C19C2211yescharacteristic, complemented
197C19×#433C2211yescharacteristic
198C19×#433C2211yescharacteristic
199C19×#433C2211yescharacteristic
200C19×#433C2211yescharacteristic
201C19×#432C2211yescharacteristic
202C19×#431C2211yescharacteristic
203C2×#41×C19—21no—
204C2×#41×C19—21no—
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C22×D4×C19C2311yescharacteristic
208C23×C4×C19—21no—
209C2×Q16×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×Q16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×SD16×C19C2311yescharacteristic
216C2×SD16×C19C2311yescharacteristic
217C2×SD16×C19C2311yescharacteristic
218C2×SD16×C19C2311yescharacteristic
219C2×SD16×C19C2311yescharacteristic
220C2×SD16×C19C2311yescharacteristic
221C2×SD16×C19C2311yescharacteristic
222C2×SD16×C19C2311yescharacteristic
223C2×SD16×C19C2311yescharacteristic
224C2×SD16×C19C2311yescharacteristic
225C2×D8×C19C2311yescharacteristic
226C2×D8×C19C2311yescharacteristic
227C2×D8×C19C2311yescharacteristic
228C2×D8×C19C2311yescharacteristic
229C2×D8×C19C2311yescharacteristic
230C2×D8×C19C2311yescharacteristic
231C2×D8×C19C2311yescharacteristic
232C2×D8×C19C2311yescharacteristic
233C19×C4⋊Q8—21no—
234C19×C4⋊Q8—21no—
235C19×C4⋊Q8D411yescharacteristic
236C19×C4⋊Q8D411yescharacteristic
237C19×C4⋊Q8C2311yescharacteristic
238C19×C4⋊Q8C2311yescharacteristic
239C19×C4⋊Q8C2311yescharacteristic
240C19×C4⋊Q8C2311yescharacteristic
241C19×#127C2311yescharacteristic
242C19×#127C2311yescharacteristic
243C19×#127C2311yescharacteristic
244C19×#127C2311yescharacteristic
245C19×#127C2311yescharacteristic
246C19×#127C2311yescharacteristic
247C19×#126—21no—
248C19×#126—21no—
249C19×#126—21no—
250C19×#126—21no—
251C19×#126—21no—
252C19×#126—21no—
253C19×#126—21no—
254C19×#126—21no—
255C19×#126—21no—
256C19×#126—21no—
257C19×#126—21no—
258C19×#126—21no—
259C19×#126—21no—
260C19×#126—21no—
261C19×#125—21no—
262C19×#125—21no—
263C19×#125—21no—
264C19×#125—21no—
265C19×#125—21no—
266C19×#125—21no—
267C19×#125D411yescharacteristic
268C19×#125D411yescharacteristic
269C19×#125C2311yescharacteristic
270C19×#125C2311yescharacteristic
271C19×#125C2311yescharacteristic
272C19×#125C2311yescharacteristic
273C19×#124—21no—
274C19×#124—21no—
275C19×#124—21no—
276C19×#124—21no—
277C19×#124—21no—
278C19×#124—21no—
279C19×#124—21no—
280C19×#124—21no—
281C19×#124C2311yescharacteristic
282C19×#124C2311yescharacteristic
283C19×#124C2311yescharacteristic
284C19×#124C2311yescharacteristic
285C19×#124C2311yescharacteristic
286C19×#124C2311yescharacteristic
287C19×#124C2311yescharacteristic
288C19×#124C2311yescharacteristic
289C19×#124C2311yescharacteristic
290C19×#124C2311yescharacteristic
291C19×#123—21no—
292C19×#123—21no—
293C19×#123—21no—
294C19×#123—21no—
295C19×#123—21no—
296C19×#123—21no—
297C19×#123—21no—
298C19×#123—21no—
299C19×#123—21no—
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×C22⋊Q8—21no—
310C19×C22⋊Q8—21no—
311C19×C22⋊Q8—21no—
312C19×C22⋊Q8—21no—
313C19×C22⋊Q8—21no—
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8—21no—
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8D411yescharacteristic
322C19×C22⋊Q8D411yescharacteristic
323C19×C22⋊Q8D411yescharacteristic
324C19×C22⋊Q8D411yescharacteristic
325C19×C22⋊Q8C2311yescharacteristic
326C19×C22⋊Q8C2311yescharacteristic
327C19×#121—21no—
328C19×#121—21no—
329C19×#121—21no—
330C19×#121—21no—
331C19×#121—21no—
332C19×#121—21no—
333C19×#121—21no—
334C19×#121—21no—
335C19×#121—21no—
336C19×#121—21no—
337C19×#121—21no—
338C19×#121—21no—
339C19×#121—21no—
340C19×#121—21no—
341C19×#121C2311yescharacteristic
342C19×#121C2311yescharacteristic
343C19×#120—21no—
344C19×#120—21no—
345C19×#120—21no—
346C19×#120—21no—
347C4×Q8×C19—21no—
348C4×Q8×C19—21no—
349C4×Q8×C19C2311yescharacteristic
350C4×Q8×C19C2311yescharacteristic
351C4×Q8×C19C2311yescharacteristic
352C4×Q8×C19C2311yescharacteristic
353C4×Q8×C19C2311yescharacteristic
354C4×Q8×C19C2311yescharacteristic
355C4×Q8×C19C2311yescharacteristic
356C4×Q8×C19C2311yescharacteristic
357C4×Q8×C19C2311yescharacteristic
358C4×Q8×C19C2311yescharacteristic
359C4×Q8×C19C2311yescharacteristic
360C4×Q8×C19C2311yescharacteristic
361C4×Q8×C19C2311yescharacteristic
362C4×Q8×C19C2311yescharacteristic
363C4×D4×C19—21no—
364C4×D4×C19—21no—
365C4×D4×C19—21no—
366C4×D4×C19—21no—
367C4×D4×C19—21no—
368C4×D4×C19—21no—
369C4×D4×C19—21no—
370C4×D4×C19—21no—
371C4×D4×C19—21no—
372C4×D4×C19—21no—
373C4×D4×C19—21no—
374C4×D4×C19—21no—
375C4×D4×C19—21no—
376C4×D4×C19—21no—
377C4×D4×C19—21no—
378C4×D4×C19—21no—
379C4×D4×C19C2311yescharacteristic
380C4×D4×C19C2311yescharacteristic
381C4×D4×C19C2311yescharacteristic
382C4×D4×C19C2311yescharacteristic
383C4×D4×C19C2311yescharacteristic
384C4×D4×C19C2311yescharacteristic
385C4×D4×C19C2311yescharacteristic
386C4×D4×C19C2311yescharacteristic
387C4×D4×C19C2311yescharacteristic
388C4×D4×C19C2311yescharacteristic
389C4×D4×C19C2311yescharacteristic
390C4×D4×C19C2311yescharacteristic
391C4×D4×C19C2311yescharacteristic
392C4×D4×C19C2311yescharacteristic
393C19×#117—21no—
394C19×#117—21no—
395C19×#117—21no—
396C19×#117—21no—
397C19×#117—21no—
398C19×#117—21no—
399C19×#117—21no—
400C19×#117—21no—
401C19×#117C2311yescharacteristic
402C19×#117C2311yescharacteristic
403C2×C4⋊C4×C19—21no—
404C2×C4⋊C4×C19—21no—
405C2×C4⋊C4×C19—21no—
406C2×C4⋊C4×C19—21no—
407C2×C4⋊C4×C19C2311yescharacteristic
408C2×C22⋊C4×C19—21no—
409C2×C42×C19C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#107C2311yescharacteristic
413C19×#107C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×C4⋊C8C2311yescharacteristic
419C19×C4⋊C8C2311yescharacteristic
420C19×C4⋊C8C2311yescharacteristic
421C19×C4⋊C8C2311yescharacteristic
422C19×C4⋊C8C2311yescharacteristic
423C19×C4⋊C8C2311yescharacteristic
424C19×C4⋊C8C2311yescharacteristic
425C19×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
443C19×#102C2311yescharacteristic
444C19×#102C2311yescharacteristic
445C19×#102C2311yescharacteristic
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×#97C2311yescharacteristic
467C19×#97C2311yescharacteristic
468C19×#97C2311yescharacteristic
469C19×#97C2311yescharacteristic
470C19×#97C2311yescharacteristic
471C19×#97C2311yescharacteristic
472C4×C8×C19C2311yescharacteristic
473C4×C8×C19C2311yescharacteristic
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—82no—
484#41×C19—82no—
485C2×Q8×C19—21no—
486C2×Q8×C19—21no—
487C2×Q8×C19C2×D411yescharacteristic
488C2×Q8×C19C2×D411yescharacteristic
489C2×Q8×C19C2×D411yescharacteristic
490C2×Q8×C19C2×D411yescharacteristic
491C2×Q8×C19C2411yescharacteristic
492C2×Q8×C19C2411yescharacteristic
493C2×Q8×C19C2411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×D4×C19—21no—
496C2×D4×C19—21no—
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—21no—
512C2×D4×C19—41no—
513C2×D4×C19—41no—
514C2×D4×C19C2411yescharacteristic
515C2×D4×C19C2411yescharacteristic
516C2×D4×C19C2411yescharacteristic
517C2×D4×C19C2411yescharacteristic
518C2×D4×C19C2411yescharacteristic
519C2×D4×C19C2411yescharacteristic
520C22×C4×C19—21no—
521C22×C4×C19—21no—
522C22×C4×C19—21no—
523C22×C4×C19—21no—
524C22×C4×C19—21no—
525C22×C4×C19—21no—
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—82no—
538C22×C4×C19C2×D411yescharacteristic
539C22×C4×C19C2×D411yescharacteristic
540C22×C4×C19C2411yescharacteristic
541Q16×C19—41no—
542Q16×C19—41no—
543Q16×C19—41no—
544Q16×C19—41no—
545SD16×C19—41no—
546SD16×C19—41no—
547SD16×C19—41no—
548SD16×C19—41no—
549SD16×C19—41no—
550SD16×C19—41no—
551SD16×C19—41no—
552SD16×C19—41no—
553SD16×C19—41no—
554SD16×C19—41no—
555SD16×C19—41no—
556SD16×C19—41no—
557D8×C19—41no—
558D8×C19—41no—
559D8×C19—41no—
560D8×C19—41no—
561D8×C19—41no—
562D8×C19—41no—
563D8×C19—41no—
564D8×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×C19C2×D411yescharacteristic
601C4⋊C4×C19C2×D411yescharacteristic
602C4⋊C4×C19C2×D411yescharacteristic
603C4⋊C4×C19C2×D411yescharacteristic
604C4⋊C4×C19C2×D411yescharacteristic
605C4⋊C4×C19C2×D411yescharacteristic
606C4⋊C4×C19C2×D411yescharacteristic
607C4⋊C4×C19C2×D411yescharacteristic
608C4⋊C4×C19C2×D411yescharacteristic
609C4⋊C4×C19C2×D411yescharacteristic
610C4⋊C4×C19C2×D411yescharacteristic
611C4⋊C4×C19C2×D411yescharacteristic
612C4⋊C4×C19C2×D411yescharacteristic
613C4⋊C4×C19C2×D411yescharacteristic
614C4⋊C4×C19C2×D411yescharacteristic
615C4⋊C4×C19C2×D411yescharacteristic
616C4⋊C4×C19C2411yescharacteristic
617C4⋊C4×C19C2411yescharacteristic
618C4⋊C4×C19C2411yescharacteristic
619C4⋊C4×C19C2411yescharacteristic
620C4⋊C4×C19C2411yescharacteristic
621C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
657C22⋊C4×C19—21no—
658C22⋊C4×C19—21no—
659C22⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
675C42×C19C2×D411yescharacteristic
676C42×C19C2411yescharacteristic
677C42×C19C2411yescharacteristic
678C42×C19C2411yescharacteristic
679C42×C19C2411yescharacteristic
680C42×C19C2411yescharacteristic
681C42×C19C2411yescharacteristic
682#61919C1911yesmaximal, characteristic, direct product factor, Sylow
683C23×C19—21no—
684C23×C19—21no—
685C23×C19—21no—
686C23×C19—21no—
687C23×C19—21no—
688C23×C19—21no—
689C23×C19—42no—
690C23×C19—81no—
691C23×C19—81no—
692C23×C19C22×D411yescharacteristic
693Q8×C19—21no—
694Q8×C19—21no—
695Q8×C19—21no—
696Q8×C19—21no—
697Q8×C19—21no—
698Q8×C19—21no—
699Q8×C19—21no—
700Q8×C19—21no—
701Q8×C19—41no—
702Q8×C19—41no—
703Q8×C19—41no—
704Q8×C19—41no—
705Q8×C19—81no—
706Q8×C19—81no—
707D4×C19—21no—
708D4×C19—21no—
709D4×C19—21no—
710D4×C19—21no—
711D4×C19—21no—
712D4×C19—21no—
713D4×C19—21no—
714D4×C19—21no—
715D4×C19—21no—
716D4×C19—21no—
717D4×C19—21no—
718D4×C19—21no—
719D4×C19—42no—
720D4×C19—42no—
721D4×C19—42no—
722D4×C19—42no—
723D4×C19—81no—
724D4×C19—81no—
725D4×C19—81no—
726D4×C19—81no—
727D4×C19—81no—
728D4×C19—81no—
729D4×C19—81no—
730D4×C19—81no—
731D4×C19—81no—
732D4×C19—81no—
733D4×C19—81no—
734D4×C19—81no—
735D4×C19—81no—
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—41no—
749C2×C4×C19—41no—
750C2×C4×C19—42no—
751C2×C4×C19—42no—
752C2×C4×C19—42no—
753C2×C4×C19—42no—
754C2×C4×C19—81no—
755C2×C4×C19—81no—
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×C19C22×D411yescharacteristic
768C2×C4×C19C22×D411yescharacteristic
769C2×C4×C19C22×D411yescharacteristic
770C2×C4×C19C22×D411yescharacteristic
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#3557C2×C1911yescharacteristic, complemented
790#3506C2×C1911yescharacteristic, complemented
791#3403C2×C1911yescharacteristic, complemented
792#3402C2×C1911yescharacteristic, complemented
793#3401C2×C1911yescharacteristic, complemented
794#3401C2×C1911yescharacteristic, complemented
795#3399C2×C1911yescharacteristic, complemented
796#3397C2×C1911yescharacteristic, complemented
797#3396C2×C1911yescharacteristic, complemented
798#3394C2×C1911yescharacteristic, complemented
799#3377C2×C1911yescharacteristic, complemented
800#3376C2×C1911yescharacteristic, complemented
801#3371C2×C1911yescharacteristic, complemented
802#3370C2×C1911yescharacteristic, complemented
803#3368C2×C1911yescharacteristic, complemented
804#3366C2×C1911yescharacteristic, complemented
805#3365C2×C1911yescharacteristic, complemented
806#3361C2×C1911yescharacteristic, complemented
807#3224C2×C1911yescharacteristic, complemented
808#3224C2×C1911yescharacteristic, complemented
809#3222C2×C1911yescharacteristic, complemented
810#3220C2×C1911yescharacteristic, complemented
811#3219C2×C1911yescharacteristic, complemented
812#3212C2×C1911yescharacteristic, complemented
813#3125C2×C1911yescharacteristic, complemented
814#3124C2×C1911yescharacteristic, complemented
815#3120C2×C1911yescharacteristic, complemented
816#3119C2×C1911yescharacteristic, complemented
817#3114C2×C1911yescharacteristic, complemented
818#3105C2×C1911yescharacteristic, complemented
819#2985C2×C1911yescharacteristic, complemented
820C22×C19—21no—
821C22×C19—21no—
822C22×C19—21no—
823C22×C19—41no—
824C22×C19—41no—
825C22×C19—41no—
826C22×C19—41no—
827C22×C19—41no—
828C22×C19—41no—
829C22×C19—41no—
830C22×C19—41no—
831C22×C19—41no—
832C22×C19—41no—
833C22×C19—41no—
834C22×C19—41no—
835C22×C19—41no—
836C22×C19—41no—
837C22×C19—41no—
838C22×C19—41no—
839C22×C19—41no—
840C22×C19—41no—
841C22×C19—84no—
842C22×C19C23×D411yescharacteristic
843C4×C19—21no—
844C4×C19—21no—
845C4×C19—21no—
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—21no—
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#58511yescharacteristic
867C4×C19#58511yescharacteristic
868#563—21no—
869#563—21no—
870#559C22×C1911yescharacteristic
871#559C22×C1911yescharacteristic
872#559C22×C1911yescharacteristic
873#559C22×C1911yescharacteristic
874#559C22×C1911yescharacteristic, complemented
875#559C22×C1911yescharacteristic, complemented
876#557C22×C1911yescharacteristic, complemented
877#557C22×C1911yescharacteristic, complemented
878#556C22×C1911yescharacteristic
879#556C22×C1911yescharacteristic
880#556C22×C1911yescharacteristic, complemented
881#556C22×C1911yescharacteristic, complemented
882#555—21no—
883#554C22×C1911yescharacteristic, complemented
884#554C22×C1911yescharacteristic, complemented
885#553—21no—
886#553—21no—
887#552—21no—
888#552—21no—
889#550C22×C1911yescharacteristic
890#550C22×C1911yescharacteristic
891#547—21no—
892#542—21no—
893#542—21no—
894#542C22×C1911yescharacteristic
895#542C22×C1911yescharacteristic
896#541C22×C1911yescharacteristic
897#540C22×C1911yescharacteristic
898#539—21no—
899#539—21no—
900#538—21no—
901#538—21no—
902#535C22×C1911yescharacteristic
903#535C22×C1911yescharacteristic
904#533C22×C1911yescharacteristic
905#532C22×C1911yescharacteristic
906#529C22×C1911yescharacteristic
907#529C22×C1911yescharacteristic
908#525—21no—
909#525—21no—
910#520C22×C1911yescharacteristic
911#520C22×C1911yescharacteristic
912C2×C4×D4C22×C1911yescharacteristic
913#497C22×C1911yescharacteristic
914#497C22×C1911yescharacteristic, complemented
915#496C22×C1911yescharacteristic
916#496C22×C1911yescharacteristic
917#496C22×C1911yescharacteristic
918#496C22×C1911yescharacteristic, complemented
919#495C22×C1911yescharacteristic
920#495C22×C1911yescharacteristic
921#495C22×C1911yescharacteristic, complemented
922#495C22×C1911yescharacteristic, complemented
923#493C22×C1911yescharacteristic
924#492C22×C1911yescharacteristic
925#491C22×C1911yescharacteristic, complemented
926#490C22×C1911yescharacteristic
927#490C22×C1911yescharacteristic
928#490C22×C1911yescharacteristic, complemented
929#489C22×C1911yescharacteristic
930#489C22×C1911yescharacteristic
931#488C22×C1911yescharacteristic
932#488C22×C1911yescharacteristic
933#488C22×C1911yescharacteristic, complemented
934#488C22×C1911yescharacteristic, complemented
935#486C22×C1911yescharacteristic
936#486C22×C1911yescharacteristic
937#484C22×C1911yescharacteristic
938#483C22×C1911yescharacteristic
939#481C22×C1911yescharacteristic
940#480C22×C1911yescharacteristic
941#479C22×C1911yescharacteristic, complemented
942#479C22×C1911yescharacteristic, complemented
943#478C22×C1911yescharacteristic
944#478C22×C1911yescharacteristic
945#478C22×C1911yescharacteristic
946#478C22×C1911yescharacteristic
947#478C22×C1911yescharacteristic, complemented
948#478C22×C1911yescharacteristic, complemented
949#477C22×C1911yescharacteristic, complemented
950#476C22×C1911yescharacteristic, complemented
951#475C22×C1911yescharacteristic, complemented
952#474C22×C1911yescharacteristic, complemented
953#464C22×C1911yescharacteristic
954#464C22×C1911yescharacteristic
955#464C22×C1911yescharacteristic
956#464C22×C1911yescharacteristic
957#464C22×C1911yescharacteristic, complemented
958#464C22×C1911yescharacteristic, complemented
959#464C22×C1911yescharacteristic, complemented
960#464C22×C1911yescharacteristic, complemented
961#463C22×C1911yescharacteristic
962#463C22×C1911yescharacteristic
963#463C22×C1911yescharacteristic
964#463C22×C1911yescharacteristic
965#463C22×C1911yescharacteristic
966#463C22×C1911yescharacteristic
967#463C22×C1911yescharacteristic
968#463C22×C1911yescharacteristic
969#463C22×C1911yescharacteristic, complemented
970#463C22×C1911yescharacteristic, complemented
971#463C22×C1911yescharacteristic, complemented
972#463C22×C1911yescharacteristic, complemented
973#462C22×C1911yescharacteristic, complemented
974#462C22×C1911yescharacteristic, complemented
975#461C22×C1911yescharacteristic, complemented
976#461C22×C1911yescharacteristic, complemented
977#460C22×C1911yescharacteristic
978#460C22×C1911yescharacteristic
979#460C22×C1911yescharacteristic
980#460C22×C1911yescharacteristic
981#460C22×C1911yescharacteristic, complemented
982#460C22×C1911yescharacteristic, complemented
983#459C22×C1911yescharacteristic
984#459C22×C1911yescharacteristic
985#459C22×C1911yescharacteristic
986#459C22×C1911yescharacteristic
987#459C22×C1911yescharacteristic, complemented
988#459C22×C1911yescharacteristic, complemented
989#452C22×C1911yescharacteristic
990#452C22×C1911yescharacteristic
991#452C22×C1911yescharacteristic
992#452C22×C1911yescharacteristic
993#450C22×C1911yescharacteristic
994#450C22×C1911yescharacteristic
995#449C22×C1911yescharacteristic
996#449C22×C1911yescharacteristic
997#449C22×C1911yescharacteristic
998#449C22×C1911yescharacteristic
999#447C22×C1911yescharacteristic
1000#447C22×C1911yescharacteristic
1001#446C22×C1911yescharacteristic, complemented
1002#446C22×C1911yescharacteristic, complemented
1003#446C22×C1911yescharacteristic, complemented
1004#446C22×C1911yescharacteristic, complemented
1005#446C22×C1911yescharacteristic, complemented
1006#446C22×C1911yescharacteristic, complemented
1007C8×Q8C22×C1911yescharacteristic, complemented
1008C8×Q8C22×C1911yescharacteristic, complemented
1009#442C22×C1911yescharacteristic
1010#442C22×C1911yescharacteristic
1011#442C22×C1911yescharacteristic, complemented
1012#442C22×C1911yescharacteristic, complemented
1013#441C22×C1911yescharacteristic, complemented
1014#441C22×C1911yescharacteristic, complemented
1015#440C22×C1911yescharacteristic
1016#440C22×C1911yescharacteristic
1017#440C22×C1911yescharacteristic, complemented
1018#440C22×C1911yescharacteristic, complemented
1019#440C22×C1911yescharacteristic, complemented
1020#440C22×C1911yescharacteristic, complemented
1021C4×Q16C22×C1911yescharacteristic, complemented
1022C4×Q16C22×C1911yescharacteristic, complemented
1023C4×SD16C22×C1911yescharacteristic
1024C4×SD16C22×C1911yescharacteristic
1025C4×SD16C22×C1911yescharacteristic, complemented
1026C4×SD16C22×C1911yescharacteristic, complemented
1027C4×SD16C22×C1911yescharacteristic, complemented
1028C4×SD16C22×C1911yescharacteristic, complemented
1029C4×D8C22×C1911yescharacteristic
1030C4×D8C22×C1911yescharacteristic
1031C4×D8C22×C1911yescharacteristic, complemented
1032C4×D8C22×C1911yescharacteristic, complemented
1033#433C22×C1911yescharacteristic
1034#433C22×C1911yescharacteristic
1035#433C22×C1911yescharacteristic
1036#433C22×C1911yescharacteristic
1037#432C22×C1911yescharacteristic
1038#431C22×C1911yescharacteristic
1039C2×C19—41no—
1040C2×C19—81no—
1041C2×C19—81no—
1042C2×C19—81no—
1043C2×C19—81no—
1044C2×C19—81no—
1045C2×C19—81no—
1046C2×C19#348711yescharacteristic
1047C2×C19#358411yescharacteristic
1048C2×C19#358511yescharacteristic
1049C2×#41—21no—
1050C2×#41—21no—
1051C2×#41C23×C1911yescharacteristic
1052C2×#41C23×C1911yescharacteristic
1053C22×D4C23×C1911yescharacteristic
1054C23×C4—21no—
1055C2×Q16C23×C1911yescharacteristic
1056C2×Q16C23×C1911yescharacteristic
1057C2×Q16C23×C1911yescharacteristic
1058C2×Q16C23×C1911yescharacteristic
1059C2×SD16C23×C1911yescharacteristic
1060C2×SD16C23×C1911yescharacteristic
1061C2×SD16C23×C1911yescharacteristic
1062C2×SD16C23×C1911yescharacteristic
1063C2×SD16C23×C1911yescharacteristic
1064C2×SD16C23×C1911yescharacteristic
1065C2×SD16C23×C1911yescharacteristic
1066C2×SD16C23×C1911yescharacteristic
1067C2×SD16C23×C1911yescharacteristic
1068C2×SD16C23×C1911yescharacteristic
1069C2×SD16C23×C1911yescharacteristic
1070C2×SD16C23×C1911yescharacteristic
1071C2×D8C23×C1911yescharacteristic
1072C2×D8C23×C1911yescharacteristic
1073C2×D8C23×C1911yescharacteristic
1074C2×D8C23×C1911yescharacteristic
1075C2×D8C23×C1911yescharacteristic
1076C2×D8C23×C1911yescharacteristic
1077C2×D8C23×C1911yescharacteristic
1078C2×D8C23×C1911yescharacteristic
1079C4⋊Q8—21no—
1080C4⋊Q8—21no—
1081C4⋊Q8D4×C1911yescharacteristic
1082C4⋊Q8D4×C1911yescharacteristic
1083C4⋊Q8C23×C1911yescharacteristic
1084C4⋊Q8C23×C1911yescharacteristic
1085C4⋊Q8C23×C1911yescharacteristic
1086C4⋊Q8C23×C1911yescharacteristic
1087#127C23×C1911yescharacteristic
1088#127C23×C1911yescharacteristic
1089#127C23×C1911yescharacteristic
1090#127C23×C1911yescharacteristic
1091#127C23×C1911yescharacteristic
1092#127C23×C1911yescharacteristic
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125D4×C1911yescharacteristic
1114#125D4×C1911yescharacteristic
1115#125C23×C1911yescharacteristic
1116#125C23×C1911yescharacteristic
1117#125C23×C1911yescharacteristic
1118#125C23×C1911yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124C23×C1911yescharacteristic
1128#124C23×C1911yescharacteristic
1129#124C23×C1911yescharacteristic
1130#124C23×C1911yescharacteristic
1131#124C23×C1911yescharacteristic
1132#124C23×C1911yescharacteristic
1133#124C23×C1911yescharacteristic
1134#124C23×C1911yescharacteristic
1135#124C23×C1911yescharacteristic
1136#124C23×C1911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8D4×C1911yescharacteristic
1168C22⋊Q8D4×C1911yescharacteristic
1169C22⋊Q8D4×C1911yescharacteristic
1170C22⋊Q8D4×C1911yescharacteristic
1171C22⋊Q8C23×C1911yescharacteristic
1172C22⋊Q8C23×C1911yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121C23×C1911yescharacteristic
1188#121C23×C1911yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8C23×C1911yescharacteristic
1196C4×Q8C23×C1911yescharacteristic
1197C4×Q8C23×C1911yescharacteristic
1198C4×Q8C23×C1911yescharacteristic
1199C4×Q8C23×C1911yescharacteristic
1200C4×Q8C23×C1911yescharacteristic
1201C4×Q8C23×C1911yescharacteristic
1202C4×Q8C23×C1911yescharacteristic
1203C4×Q8C23×C1911yescharacteristic
1204C4×Q8C23×C1911yescharacteristic
1205C4×Q8C23×C1911yescharacteristic
1206C4×Q8C23×C1911yescharacteristic
1207C4×Q8C23×C1911yescharacteristic
1208C4×Q8C23×C1911yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4C23×C1911yescharacteristic
1226C4×D4C23×C1911yescharacteristic
1227C4×D4C23×C1911yescharacteristic
1228C4×D4C23×C1911yescharacteristic
1229C4×D4C23×C1911yescharacteristic
1230C4×D4C23×C1911yescharacteristic
1231C4×D4C23×C1911yescharacteristic
1232C4×D4C23×C1911yescharacteristic
1233C4×D4C23×C1911yescharacteristic
1234C4×D4C23×C1911yescharacteristic
1235C4×D4C23×C1911yescharacteristic
1236C4×D4C23×C1911yescharacteristic
1237C4×D4C23×C1911yescharacteristic
1238C4×D4C23×C1911yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C1911yescharacteristic
1248#117C23×C1911yescharacteristic
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4C23×C1911yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C42C23×C1911yescharacteristic
1256#107C23×C1911yescharacteristic
1257#107C23×C1911yescharacteristic
1258#107C23×C1911yescharacteristic
1259#107C23×C1911yescharacteristic
1260#106C23×C1911yescharacteristic
1261#106C23×C1911yescharacteristic
1262#106C23×C1911yescharacteristic
1263#106C23×C1911yescharacteristic
1264C4⋊C8C23×C1911yescharacteristic
1265C4⋊C8C23×C1911yescharacteristic
1266C4⋊C8C23×C1911yescharacteristic
1267C4⋊C8C23×C1911yescharacteristic
1268C4⋊C8C23×C1911yescharacteristic
1269C4⋊C8C23×C1911yescharacteristic
1270C4⋊C8C23×C1911yescharacteristic
1271C4⋊C8C23×C1911yescharacteristic
1272C4⋊C8C23×C1911yescharacteristic
1273C4⋊C8C23×C1911yescharacteristic
1274C4⋊C8C23×C1911yescharacteristic
1275C4⋊C8C23×C1911yescharacteristic
1276#103C23×C1911yescharacteristic
1277#103C23×C1911yescharacteristic
1278#103C23×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#102C23×C1911yescharacteristic
1289#102C23×C1911yescharacteristic
1290#102C23×C1911yescharacteristic
1291#102C23×C1911yescharacteristic
1292#102C23×C1911yescharacteristic
1293#102C23×C1911yescharacteristic
1294#102C23×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
1308C22⋊C8C23×C1911yescharacteristic
1309C22⋊C8C23×C1911yescharacteristic
1310C22⋊C8C23×C1911yescharacteristic
1311C22⋊C8C23×C1911yescharacteristic
1312#97C23×C1911yescharacteristic
1313#97C23×C1911yescharacteristic
1314#97C23×C1911yescharacteristic
1315#97C23×C1911yescharacteristic
1316#97C23×C1911yescharacteristic
1317#97C23×C1911yescharacteristic
1318C4×C8C23×C1911yescharacteristic
1319C4×C8C23×C1911yescharacteristic
1320C4×C8C23×C1911yescharacteristic
1321C4×C8C23×C1911yescharacteristic
1322C4×C8C23×C1911yescharacteristic
1323C4×C8C23×C1911yescharacteristic
1324C19#6191911yescharacteristic, direct product factor, Sylow
1325C24—21no—
1326#41—41no—
1327#41—41no—
1328#41—41no—
1329#41—41no—
1330#41—82no—
1331#41—82no—
1332C2×Q8—21no—
1333C2×Q8—21no—
1334C2×Q8C2×D4×C1911yescharacteristic
1335C2×Q8C2×D4×C1911yescharacteristic
1336C2×Q8C2×D4×C1911yescharacteristic
1337C2×Q8C2×D4×C1911yescharacteristic
1338C2×Q8C24×C1911yescharacteristic
1339C2×Q8C24×C1911yescharacteristic
1340C2×Q8C24×C1911yescharacteristic
1341C2×Q8C24×C1911yescharacteristic
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
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—41no—
1360C2×D4—41no—
1361C2×D4C24×C1911yescharacteristic
1362C2×D4C24×C1911yescharacteristic
1363C2×D4C24×C1911yescharacteristic
1364C2×D4C24×C1911yescharacteristic
1365C2×D4C24×C1911yescharacteristic
1366C2×D4C24×C1911yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
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—82no—
1385C22×C4C2×D4×C1911yescharacteristic
1386C22×C4C2×D4×C1911yescharacteristic
1387C22×C4C24×C1911yescharacteristic
1388Q16—41no—
1389Q16—41no—
1390Q16—41no—
1391Q16—41no—
1392SD16—41no—
1393SD16—41no—
1394SD16—41no—
1395SD16—41no—
1396SD16—41no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404D8—41no—
1405D8—41no—
1406D8—41no—
1407D8—41no—
1408D8—41no—
1409D8—41no—
1410D8—41no—
1411D8—41no—
1412C2×C8C24×C1911yescharacteristic
1413C2×C8C24×C1911yescharacteristic
1414C2×C8C24×C1911yescharacteristic
1415C2×C8C24×C1911yescharacteristic
1416C2×C8C24×C1911yescharacteristic
1417C2×C8C24×C1911yescharacteristic
1418C2×C8C24×C1911yescharacteristic
1419C2×C8C24×C1911yescharacteristic
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1448C4⋊C4C2×D4×C1911yescharacteristic
1449C4⋊C4C2×D4×C1911yescharacteristic
1450C4⋊C4C2×D4×C1911yescharacteristic
1451C4⋊C4C2×D4×C1911yescharacteristic
1452C4⋊C4C2×D4×C1911yescharacteristic
1453C4⋊C4C2×D4×C1911yescharacteristic
1454C4⋊C4C2×D4×C1911yescharacteristic
1455C4⋊C4C2×D4×C1911yescharacteristic
1456C4⋊C4C2×D4×C1911yescharacteristic
1457C4⋊C4C2×D4×C1911yescharacteristic
1458C4⋊C4C2×D4×C1911yescharacteristic
1459C4⋊C4C2×D4×C1911yescharacteristic
1460C4⋊C4C2×D4×C1911yescharacteristic
1461C4⋊C4C2×D4×C1911yescharacteristic
1462C4⋊C4C2×D4×C1911yescharacteristic
1463C4⋊C4C24×C1911yescharacteristic
1464C4⋊C4C24×C1911yescharacteristic
1465C4⋊C4C24×C1911yescharacteristic
1466C4⋊C4C24×C1911yescharacteristic
1467C4⋊C4C24×C1911yescharacteristic
1468C4⋊C4C24×C1911yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
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⋊C4—21no—
1507C22⋊C4C2×D4×C1911yescharacteristic
1508C22⋊C4C2×D4×C1911yescharacteristic
1509C22⋊C4C2×D4×C1911yescharacteristic
1510C22⋊C4C2×D4×C1911yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42C2×D4×C1911yescharacteristic
1522C42C2×D4×C1911yescharacteristic
1523C42C24×C1911yescharacteristic
1524C42C24×C1911yescharacteristic
1525C42C24×C1911yescharacteristic
1526C42C24×C1911yescharacteristic
1527C42C24×C1911yescharacteristic
1528C42C24×C1911yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—42no—
1536C23—81no—
1537C23—81no—
1538C23C22×D4×C1911yescharacteristic
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—41no—
1548Q8—41no—
1549Q8—41no—
1550Q8—41no—
1551Q8—81no—
1552Q8—81no—
1553D4—21no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
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—41no—
1595C2×C4—41no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
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×C4C22×D4×C1911yescharacteristic
1614C2×C4C22×D4×C1911yescharacteristic
1615C2×C4C22×D4×C1911yescharacteristic
1616C2×C4C22×D4×C1911yescharacteristic
1617C2×C4C22×D4×C1911yescharacteristic
1618C2×C4C22×D4×C1911yescharacteristic
1619C2×C4C22×D4×C1911yescharacteristic
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×C4C25×C1911yescharacteristic
1627C8—21no—
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—84no—
1657C22C23×D4×C1911yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4C19×#58511yescharacteristic
1682C4C19×#58511yescharacteristic
1683C2—41no—
1684C2—81no—
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—81no—
1689C2—81no—
1690C2C19×#348711yescharacteristic
1691C2C19×#358411yescharacteristic
1692C2C19×#358511yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#533 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3557C2semidirect
2. C19×#3506C2semidirect
3. C19×#3403C2semidirect
4. C19×#3402C2semidirect
5. C19×#3401C2semidirect
6. C19×#3401C2semidirect
7. C19×#3399C2semidirect
8. C19×#3397C2semidirect
9. C19×#3396C2semidirect
10. C19×#3394C2semidirect
11. C19×#3377C2semidirect
12. C19×#3376C2semidirect
13. C19×#3371C2semidirect
14. C19×#3370C2semidirect
15. C19×#3368C2semidirect
16. C19×#3366C2semidirect
17. C19×#3365C2semidirect
18. C19×#3361C2semidirect
19. C19×#3224C2semidirect
20. C19×#3224C2semidirect
21. C19×#3222C2semidirect
22. C19×#3220C2semidirect
23. C19×#3219C2semidirect
24. C19×#3212C2semidirect
25. C19×#3125C2semidirect
26. C19×#3124C2semidirect
27. C19×#3120C2semidirect
28. C19×#3119C2semidirect
29. C19×#3114C2semidirect
30. C19×#3105C2semidirect
31. C19×#2985C2semidirect
38. C19×#559C22semidirect
39. C19×#559C22semidirect
40. C19×#557C22semidirect
41. C19×#557C22semidirect
44. C19×#556C22semidirect
45. C19×#556C22semidirect
47. C19×#554C22semidirect
48. C19×#554C22semidirect
78. C19×#497C22semidirect
82. C19×#496C22semidirect
85. C19×#495C22semidirect
86. C19×#495C22semidirect
89. C19×#491C22semidirect
92. C19×#490C22semidirect
97. C19×#488C22semidirect
98. C19×#488C22semidirect
105. C19×#479C22semidirect
106. C19×#479C22semidirect
111. C19×#478C22semidirect
112. C19×#478C22semidirect
113. C19×#477C22semidirect
114. C19×#476C22semidirect
115. C19×#475C22semidirect
116. C19×#474C22semidirect
121. C19×#464C22semidirect
122. C19×#464C22semidirect
123. C19×#464C22semidirect
124. C19×#464C22semidirect
133. C19×#463C22semidirect
134. C19×#463C22semidirect
135. C19×#463C22semidirect
136. C19×#463C22semidirect
137. C19×#462C22semidirect
138. C19×#462C22semidirect
139. C19×#461C22semidirect
140. C19×#461C22semidirect
145. C19×#460C22semidirect
146. C19×#460C22semidirect
151. C19×#459C22semidirect
152. C19×#459C22semidirect
165. C19×#446C22semidirect
166. C19×#446C22semidirect
167. C19×#446C22semidirect
168. C19×#446C22semidirect
169. C19×#446C22semidirect
170. C19×#446C22semidirect
171. C8×Q8×C19C22semidirect
172. C8×Q8×C19C22semidirect
175. C19×#442C22semidirect
176. C19×#442C22semidirect
177. C19×#441C22semidirect
178. C19×#441C22semidirect
181. C19×#440C22semidirect
182. C19×#440C22semidirect
183. C19×#440C22semidirect
184. C19×#440C22semidirect
185. C4×Q16×C19C22semidirect
186. C4×Q16×C19C22semidirect
189. C4×SD16×C19C22semidirect
190. C4×SD16×C19C22semidirect
191. C4×SD16×C19C22semidirect
192. C4×SD16×C19C22semidirect
195. C4×D8×C19C22semidirect
196. C4×D8×C19C22semidirect
682. #61919C19direct (N × H)
789. #3557C2×C19semidirect
790. #3506C2×C19semidirect
791. #3403C2×C19semidirect
792. #3402C2×C19semidirect
793. #3401C2×C19semidirect
794. #3401C2×C19semidirect
795. #3399C2×C19semidirect
796. #3397C2×C19semidirect
797. #3396C2×C19semidirect
798. #3394C2×C19semidirect
799. #3377C2×C19semidirect
800. #3376C2×C19semidirect
801. #3371C2×C19semidirect
802. #3370C2×C19semidirect
803. #3368C2×C19semidirect
804. #3366C2×C19semidirect
805. #3365C2×C19semidirect
806. #3361C2×C19semidirect
807. #3224C2×C19semidirect
808. #3224C2×C19semidirect
809. #3222C2×C19semidirect
810. #3220C2×C19semidirect
811. #3219C2×C19semidirect
812. #3212C2×C19semidirect
813. #3125C2×C19semidirect
814. #3124C2×C19semidirect
815. #3120C2×C19semidirect
816. #3119C2×C19semidirect
817. #3114C2×C19semidirect
818. #3105C2×C19semidirect
819. #2985C2×C19semidirect
874. #559C22×C19semidirect
875. #559C22×C19semidirect
876. #557C22×C19semidirect
877. #557C22×C19semidirect
880. #556C22×C19semidirect
881. #556C22×C19semidirect
883. #554C22×C19semidirect
884. #554C22×C19semidirect
914. #497C22×C19semidirect
918. #496C22×C19semidirect
921. #495C22×C19semidirect
922. #495C22×C19semidirect
925. #491C22×C19semidirect
928. #490C22×C19semidirect
933. #488C22×C19semidirect
934. #488C22×C19semidirect
941. #479C22×C19semidirect
942. #479C22×C19semidirect
947. #478C22×C19semidirect
948. #478C22×C19semidirect
949. #477C22×C19semidirect
950. #476C22×C19semidirect
951. #475C22×C19semidirect
952. #474C22×C19semidirect
957. #464C22×C19semidirect
958. #464C22×C19semidirect
959. #464C22×C19semidirect
960. #464C22×C19semidirect
969. #463C22×C19semidirect
970. #463C22×C19semidirect
971. #463C22×C19semidirect
972. #463C22×C19semidirect
973. #462C22×C19semidirect
974. #462C22×C19semidirect
975. #461C22×C19semidirect
976. #461C22×C19semidirect
981. #460C22×C19semidirect
982. #460C22×C19semidirect
987. #459C22×C19semidirect
988. #459C22×C19semidirect
1001. #446C22×C19semidirect
1002. #446C22×C19semidirect
1003. #446C22×C19semidirect
1004. #446C22×C19semidirect
1005. #446C22×C19semidirect
1006. #446C22×C19semidirect
1007. C8×Q8C22×C19semidirect
1008. C8×Q8C22×C19semidirect
1011. #442C22×C19semidirect
1012. #442C22×C19semidirect
1013. #441C22×C19semidirect
1014. #441C22×C19semidirect
1017. #440C22×C19semidirect
1018. #440C22×C19semidirect
1019. #440C22×C19semidirect
1020. #440C22×C19semidirect
1021. C4×Q16C22×C19semidirect
1022. C4×Q16C22×C19semidirect
1025. C4×SD16C22×C19semidirect
1026. C4×SD16C22×C19semidirect
1027. C4×SD16C22×C19semidirect
1028. C4×SD16C22×C19semidirect
1031. C4×D8C22×C19semidirect
1032. C4×D8C22×C19semidirect
1324. C19#61919direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35572
C19×#35062
C19×#34032
C19×#34022
C19×#34012
C19×#33992
C19×#33972
C19×#33962
C19×#33942
C19×#33772
C19×#33762
C19×#33712
C19×#33702
C19×#33682
C19×#33662
C19×#33652
C19×#33612
C19×#32242
C19×#32222
C19×#32202
C19×#32192
C19×#32122
C19×#31252
C19×#31242
C19×#31202
C19×#31192
C19×#31142
C19×#31052
C19×#29852
#6191919