Finite Group Databasebeta

← C19×#61750 #18067709

Subgroups — C19×#61750 #18067709

Order 4864.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3541C211yesmaximal, characteristic, complemented
2C19×#3493C211yesmaximal, characteristic, complemented
3C19×#3357C211yesmaximal, characteristic, complemented
4C19×#3351C211yesmaximal, characteristic, complemented
5C19×#3350C211yesmaximal, characteristic, complemented
6C19×#3349C211yesmaximal, characteristic, complemented
7C19×#3347C211yesmaximal, characteristic, complemented
8C19×#3344C211yesmaximal, characteristic, complemented
9C19×#3342C211yesmaximal, characteristic, complemented
10C19×#3337C211yesmaximal, characteristic, complemented
11C19×#3329C211yesmaximal, characteristic, complemented
12C19×#3327C211yesmaximal, characteristic, complemented
13C19×#3321C211yesmaximal, characteristic, complemented
14C19×#3313C211yesmaximal, characteristic, complemented
15C19×#3312C211yesmaximal, characteristic, complemented
16C19×#3307C211yesmaximal, characteristic, complemented
17C19×#3302C211yesmaximal, characteristic, complemented
18C19×#3301C211yesmaximal, characteristic, complemented
19C19×#3243C211yesmaximal, characteristic, complemented
20C19×#3242C211yesmaximal, characteristic, complemented
21C19×#3203C211yesmaximal, characteristic, complemented
22C19×#3201C211yesmaximal, characteristic, complemented
23C19×#3197C211yesmaximal, characteristic, complemented
24C19×#3190C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic, complemented
26C19×#3120C211yesmaximal, characteristic, complemented
27C19×#3099C211yesmaximal, characteristic, complemented
28C19×#3097C211yesmaximal, characteristic, complemented
29C19×#3095C211yesmaximal, characteristic, complemented
30C19×#3091C211yesmaximal, characteristic, complemented
31C19×#2976C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#562—21no—
34C19×#556—21no—
35C19×#556C2211yescharacteristic
36C19×#556C2211yescharacteristic
37C19×#556C2211yescharacteristic
38C19×#555—21no—
39C19×#555C2211yescharacteristic
40C19×#555C2211yescharacteristic
41C19×#554—21no—
42C19×#554C2211yescharacteristic
43C19×#553—21no—
44C19×#553—21no—
45C19×#553C2211yescharacteristic
46C19×#553C2211yescharacteristic
47C19×#553C2211yescharacteristic
48C19×#552—21no—
49C19×#552C2211yescharacteristic
50C19×#552C2211yescharacteristic
51C19×#552C2211yescharacteristic
52D4×Q8×C19C2211yescharacteristic
53C19×#548C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#547C2211yescharacteristic
56C19×#544C2211yescharacteristic
57C19×#542—21no—
58C19×#542C2211yescharacteristic
59C19×#541C2211yescharacteristic
60C19×#539—21no—
61C19×#538—21no—
62C19×#538—21no—
63C19×#538—21no—
64C19×#538—21no—
65C19×#537C2211yescharacteristic
66C19×#537C2211yescharacteristic
67C19×#536C2211yescharacteristic
68C19×#529—21no—
69C19×#529—21no—
70C19×#525C2211yescharacteristic
71C19×#525C2211yescharacteristic
72C19×#525C2211yescharacteristic
73C2×C19×C22⋊Q8C2211yescharacteristic
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic
76C2×C19×#117C2211yescharacteristic
77C19×#501C2211yescharacteristic, complemented
78C19×#501C2211yescharacteristic, complemented
79C19×#500C2211yescharacteristic, complemented
80C19×#499C2211yescharacteristic, complemented
81C19×#491C2211yescharacteristic, complemented
82C19×#489C2211yescharacteristic, complemented
83C19×#488C2211yescharacteristic, complemented
84C19×#487C2211yescharacteristic, complemented
85C19×#485C2211yescharacteristic
86C19×#485C2211yescharacteristic
87C19×#485C2211yescharacteristic
88C19×#485C2211yescharacteristic
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic
94C19×#485C2211yescharacteristic
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#485C2211yescharacteristic, complemented
98C19×#485C2211yescharacteristic, complemented
99C19×#484C2211yescharacteristic
100C19×#484C2211yescharacteristic
101C19×#484C2211yescharacteristic
102C19×#484C2211yescharacteristic, complemented
103C19×#484C2211yescharacteristic, complemented
104C19×#483C2211yescharacteristic
105C19×#483C2211yescharacteristic
106C19×#483C2211yescharacteristic
107C19×#483C2211yescharacteristic
108C19×#483C2211yescharacteristic, complemented
109C19×#483C2211yescharacteristic, complemented
110C19×#482C2211yescharacteristic
111C19×#482C2211yescharacteristic
112C19×#482C2211yescharacteristic
113C19×#482C2211yescharacteristic
114C19×#482C2211yescharacteristic, complemented
115C19×#482C2211yescharacteristic, complemented
116C19×#481C2211yescharacteristic
117C19×#481C2211yescharacteristic, complemented
118C19×#480C2211yescharacteristic
119C19×#480C2211yescharacteristic
120C19×#480C2211yescharacteristic, complemented
121C19×#479C2211yescharacteristic, complemented
122C19×#479C2211yescharacteristic, complemented
123C19×#479C2211yescharacteristic, complemented
124C19×#479C2211yescharacteristic, complemented
125C19×#478C2211yescharacteristic, complemented
126C19×#478C2211yescharacteristic, complemented
127C19×#477C2211yescharacteristic, complemented
128C19×#477C2211yescharacteristic, complemented
129C19×#476C2211yescharacteristic, complemented
130C19×#475C2211yescharacteristic, complemented
131C19×#475C2211yescharacteristic, complemented
132C19×#474C2211yescharacteristic, complemented
133C19×#470C2211yescharacteristic
134C19×#470C2211yescharacteristic, complemented
135C19×#469C2211yescharacteristic
136C19×#468C2211yescharacteristic
137C19×#468C2211yescharacteristic
138C19×#468C2211yescharacteristic, complemented
139C19×#468C2211yescharacteristic, complemented
140C19×#468C2211yescharacteristic, complemented
141C19×#467C2211yescharacteristic
142C19×#467C2211yescharacteristic
143C19×#467C2211yescharacteristic, complemented
144C19×#467C2211yescharacteristic, complemented
145C19×#466C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic, complemented
150C19×#463C2211yescharacteristic, complemented
151C19×#462C2211yescharacteristic, complemented
152C19×#461C2211yescharacteristic, complemented
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic
156C19×#452C2211yescharacteristic
157C19×#452C2211yescharacteristic, complemented
158C19×#451C2211yescharacteristic
159C19×#451C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic, complemented
163C19×#448C2211yescharacteristic
164C19×#448C2211yescharacteristic, complemented
165C19×#442C2211yescharacteristic, complemented
166C19×#441C2211yescharacteristic, complemented
167C19×#441C2211yescharacteristic, complemented
168C19×#440C2211yescharacteristic, complemented
169C4×Q16×C19C2211yescharacteristic, complemented
170C4×SD16×C19C2211yescharacteristic, complemented
171C4×SD16×C19C2211yescharacteristic, complemented
172C4×SD16×C19C2211yescharacteristic, complemented
173C19×#436C2211yescharacteristic
174C19×#436C2211yescharacteristic
175C19×#435C2211yescharacteristic
176C19×#435C2211yescharacteristic
177C19×#435C2211yescharacteristic
178C19×#435C2211yescharacteristic
179C8×D4×C19C2211yescharacteristic
180C8×D4×C19C2211yescharacteristic
181C19×#433C2211yescharacteristic
182C19×#433C2211yescharacteristic
183C19×#428C2211yescharacteristic
184C19×#428C2211yescharacteristic
185C19×#428C2211yescharacteristic, complemented
186C19×#428C2211yescharacteristic, complemented
187C19×#427C2211yescharacteristic
188C19×#427C2211yescharacteristic
189C19×#427C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic, complemented
191C19×#419C2211yescharacteristic
192C19×#419C2211yescharacteristic
193C19×#419C2211yescharacteristic, complemented
194C19×#417C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic
196C19×#416C2211yescharacteristic
197C19×#416C2211yescharacteristic, complemented
198C2×C19×#103C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic
200C19×#408C2211yescharacteristic
201C19×#407C2211yescharacteristic
202C2×C19×C22⋊C8C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C22×Q8×C19C2311yescharacteristic
208C22×Q8×C19C2311yescharacteristic
209C23×C4×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×Q16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×SD16×C19C2311yescharacteristic
216C2×SD16×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⋊Q8—21no—
228C19×C4⋊Q8—21no—
229C19×C4⋊Q8C2311yescharacteristic
230C19×C4⋊Q8C2311yescharacteristic
231C19×C4⋊Q8C2311yescharacteristic
232C19×C4⋊Q8C2311yescharacteristic
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×#126—21no—
245C19×#126—21no—
246C19×#126—21no—
247C19×#126—21no—
248C19×#125—21no—
249C19×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125—21no—
253C19×#125—21no—
254C19×#125—21no—
255C19×#125C2311yescharacteristic
256C19×#125C2311yescharacteristic
257C19×#125C2311yescharacteristic
258C19×#124—21no—
259C19×#124—21no—
260C19×#124—21no—
261C19×#124—21no—
262C19×#124—21no—
263C19×#124—21no—
264C19×#124—21no—
265C19×#124—21no—
266C19×#124—21no—
267C19×#124—21no—
268C19×#124—21no—
269C19×#124C2311yescharacteristic
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×#123D411yescharacteristic
284C19×#123D411yescharacteristic
285C19×C22⋊Q8—21no—
286C19×C22⋊Q8—21no—
287C19×C22⋊Q8—21no—
288C19×C22⋊Q8—21no—
289C19×C22⋊Q8—21no—
290C19×C22⋊Q8—21no—
291C19×C22⋊Q8—21no—
292C19×C22⋊Q8—21no—
293C19×C22⋊Q8—21no—
294C19×C22⋊Q8—21no—
295C19×C22⋊Q8—21no—
296C19×C22⋊Q8—21no—
297C19×C22⋊Q8—21no—
298C19×C22⋊Q8D411yescharacteristic
299C19×C22⋊Q8D411yescharacteristic
300C19×C22⋊Q8C2311yescharacteristic
301C19×C22⋊Q8C2311yescharacteristic
302C19×C22⋊Q8C2311yescharacteristic
303C19×C22⋊Q8C2311yescharacteristic
304C19×C22⋊Q8C2311yescharacteristic
305C19×C22⋊Q8C2311yescharacteristic
306C19×C22⋊Q8C2311yescharacteristic
307C19×C22⋊Q8C2311yescharacteristic
308C19×C22⋊Q8C2311yescharacteristic
309C19×C22⋊Q8C2311yescharacteristic
310C19×C22⋊Q8C2311yescharacteristic
311C19×C22⋊Q8C2311yescharacteristic
312C19×C22⋊Q8C2311yescharacteristic
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×#121—21no—
323C19×#121—21no—
324C19×#121—21no—
325C19×#121—21no—
326C19×#121—21no—
327C19×#121D411yescharacteristic
328C19×#121D411yescharacteristic
329C19×#121C2311yescharacteristic
330C19×#121C2311yescharacteristic
331C19×#121C2311yescharacteristic
332C19×#121C2311yescharacteristic
333C19×#121C2311yescharacteristic
334C19×#121C2311yescharacteristic
335C19×#121C2311yescharacteristic
336C19×#120—21no—
337C19×#120—21no—
338C19×#120D411yescharacteristic
339C19×#120D411yescharacteristic
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
342C4×Q8×C19—21no—
343C4×Q8×C19—21no—
344C4×Q8×C19C2311yescharacteristic
345C4×Q8×C19C2311yescharacteristic
346C4×Q8×C19C2311yescharacteristic
347C4×Q8×C19C2311yescharacteristic
348C4×Q8×C19C2311yescharacteristic
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×C19—21no—
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×#117C2311yescharacteristic
381C19×#117C2311yescharacteristic
382C19×#117C2311yescharacteristic
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C19×#117C2311yescharacteristic
388C19×#117C2311yescharacteristic
389C19×#117C2311yescharacteristic
390C2×C4⋊C4×C19—21no—
391C2×C4⋊C4×C19—21no—
392C2×C4⋊C4×C19—21no—
393C2×C4⋊C4×C19C2311yescharacteristic
394C2×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C4⋊C4×C19C2311yescharacteristic
397C2×C4⋊C4×C19C2311yescharacteristic
398C2×C4⋊C4×C19C2311yescharacteristic
399C2×C22⋊C4×C19—21no—
400C2×C22⋊C4×C19—21no—
401C2×C42×C19—21no—
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×#103C2311yescharacteristic
447C19×#103C2311yescharacteristic
448C19×#103C2311yescharacteristic
449C19×#103C2311yescharacteristic
450C19×#103C2311yescharacteristic
451C19×#103C2311yescharacteristic
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
474C19×#97C2311yescharacteristic
475C19×#97C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478C24×C19C2×D411yescharacteristic
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—
487C2×Q8×C19—21no—
488C2×Q8×C19—21no—
489C2×Q8×C19—21no—
490C2×Q8×C19—21no—
491C2×Q8×C19—21no—
492C2×Q8×C19—41no—
493C2×Q8×C19—41no—
494C2×Q8×C19—41no—
495C2×Q8×C19—41no—
496C2×Q8×C19C2×D411yescharacteristic
497C2×Q8×C19C2411yescharacteristic
498C2×Q8×C19C2411yescharacteristic
499C2×Q8×C19C2411yescharacteristic
500C2×Q8×C19C2411yescharacteristic
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×C19C2×D411yescharacteristic
512C2×D4×C19C2×D411yescharacteristic
513C2×D4×C19C2×D411yescharacteristic
514C2×D4×C19C2×D411yescharacteristic
515C2×D4×C19C2×D411yescharacteristic
516C2×D4×C19C2×D411yescharacteristic
517C2×D4×C19C2×D411yescharacteristic
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—41no—
535C22×C4×C19—41no—
536C22×C4×C19C2×D411yescharacteristic
537C22×C4×C19C2×D411yescharacteristic
538C22×C4×C19C2×D411yescharacteristic
539C22×C4×C19C2411yescharacteristic
540C22×C4×C19C2411yescharacteristic
541C22×C4×C19C2411yescharacteristic
542C22×C4×C19C2411yescharacteristic
543C22×C4×C19C2411yescharacteristic
544Q16×C19—41no—
545Q16×C19—41no—
546Q16×C19—41no—
547SD16×C19—41no—
548SD16×C19—41no—
549SD16×C19—41no—
550SD16×C19—41no—
551D8×C19—41no—
552M16×C19—41no—
553M16×C19—41no—
554M16×C19—41no—
555M16×C19—41no—
556C2×C8×C19—41no—
557C2×C8×C19—41no—
558C2×C8×C19—41no—
559C2×C8×C19—41no—
560C2×C8×C19C2411yescharacteristic
561C2×C8×C19C2411yescharacteristic
562C2×C8×C19C2411yescharacteristic
563C2×C8×C19C2411yescharacteristic
564C2×C8×C19C2411yescharacteristic
565C2×C8×C19C2411yescharacteristic
566C2×C8×C19C2411yescharacteristic
567C2×C8×C19C2411yescharacteristic
568C4⋊C4×C19—21no—
569C4⋊C4×C19—21no—
570C4⋊C4×C19—21no—
571C4⋊C4×C19—21no—
572C4⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
604C4⋊C4×C19C2×D411yescharacteristic
605C4⋊C4×C19C2×D411yescharacteristic
606C4⋊C4×C19C2×D411yescharacteristic
607C4⋊C4×C19C2×D411yescharacteristic
608C4⋊C4×C19C2×D411yescharacteristic
609C4⋊C4×C19C2411yescharacteristic
610C4⋊C4×C19C2411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C4⋊C4×C19C2411yescharacteristic
615C4⋊C4×C19C2411yescharacteristic
616C4⋊C4×C19C2411yescharacteristic
617C4⋊C4×C19C2411yescharacteristic
618C4⋊C4×C19C2411yescharacteristic
619C22⋊C4×C19—21no—
620C22⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
654C22⋊C4×C19C2×D411yescharacteristic
655C22⋊C4×C19C2×D411yescharacteristic
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
663C42×C19—21no—
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×C19—21no—
676C42×C19—21no—
677C42×C19C2411yescharacteristic
678C42×C19C2411yescharacteristic
679#61750C1911yesmaximal, characteristic, direct product factor, Sylow
680C23×C19—21no—
681C23×C19—21no—
682C23×C19—41no—
683C23×C19—41no—
684C23×C19—41no—
685C23×C19C22×D411yescharacteristic
686C23×C19C22×D411yescharacteristic
687C23×C19C22×D411yescharacteristic
688C23×C19C22×D411yescharacteristic
689C23×C19C22×D411yescharacteristic
690Q8×C19—21no—
691Q8×C19—21no—
692Q8×C19—21no—
693Q8×C19—21no—
694Q8×C19—21no—
695Q8×C19—21no—
696Q8×C19—21no—
697Q8×C19—21no—
698Q8×C19—41no—
699Q8×C19—81no—
700Q8×C19—81no—
701Q8×C19—81no—
702Q8×C19—81no—
703Q8×C19—81no—
704D4×C19—21no—
705D4×C19—21no—
706D4×C19—21no—
707D4×C19—21no—
708D4×C19—41no—
709D4×C19—41no—
710D4×C19—41no—
711D4×C19—41no—
712D4×C19—41no—
713D4×C19—41no—
714D4×C19—41no—
715D4×C19—42no—
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—
725C2×C4×C19—21no—
726C2×C4×C19—21no—
727C2×C4×C19—21no—
728C2×C4×C19—21no—
729C2×C4×C19—21no—
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—41no—
750C2×C4×C19—41no—
751C2×C4×C19—41no—
752C2×C4×C19—42no—
753C2×C4×C19—81no—
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×C19C22×D411yescharacteristic
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×C19C2511yescharacteristic
776C8×C19—21no—
777C8×C19—21no—
778C8×C19—21no—
779C8×C19—21no—
780C8×C19—21no—
781C8×C19—21no—
782C8×C19—21no—
783C8×C19—21no—
784#3541C2×C1911yescharacteristic, complemented
785#3493C2×C1911yescharacteristic, complemented
786#3357C2×C1911yescharacteristic, complemented
787#3351C2×C1911yescharacteristic, complemented
788#3350C2×C1911yescharacteristic, complemented
789#3349C2×C1911yescharacteristic, complemented
790#3347C2×C1911yescharacteristic, complemented
791#3344C2×C1911yescharacteristic, complemented
792#3342C2×C1911yescharacteristic, complemented
793#3337C2×C1911yescharacteristic, complemented
794#3329C2×C1911yescharacteristic, complemented
795#3327C2×C1911yescharacteristic, complemented
796#3321C2×C1911yescharacteristic, complemented
797#3313C2×C1911yescharacteristic, complemented
798#3312C2×C1911yescharacteristic, complemented
799#3307C2×C1911yescharacteristic, complemented
800#3302C2×C1911yescharacteristic, complemented
801#3301C2×C1911yescharacteristic, complemented
802#3243C2×C1911yescharacteristic, complemented
803#3242C2×C1911yescharacteristic, complemented
804#3203C2×C1911yescharacteristic, complemented
805#3201C2×C1911yescharacteristic, complemented
806#3197C2×C1911yescharacteristic, complemented
807#3190C2×C1911yescharacteristic, complemented
808#3125C2×C1911yescharacteristic, complemented
809#3120C2×C1911yescharacteristic, complemented
810#3099C2×C1911yescharacteristic, complemented
811#3097C2×C1911yescharacteristic, complemented
812#3095C2×C1911yescharacteristic, complemented
813#3091C2×C1911yescharacteristic, complemented
814#2976C2×C1911yescharacteristic, complemented
815C22×C19—21no—
816C22×C19—21no—
817C22×C19—21no—
818C22×C19—21no—
819C22×C19—21no—
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—41no—
831C22×C19—41no—
832C22×C19—41no—
833C22×C19—41no—
834C22×C19—41no—
835C22×C19—41no—
836C22×C19—82no—
837C22×C19C23×D411yescharacteristic
838C4×C19—21no—
839C4×C19—21no—
840C4×C19—21no—
841C4×C19—21no—
842C4×C19—21no—
843C4×C19—21no—
844C4×C19—21no—
845C4×C19—21no—
846C4×C19—21no—
847C4×C19—41no—
848C4×C19—41no—
849C4×C19—41no—
850C4×C19—41no—
851C4×C19—41no—
852C4×C19—41no—
853C4×C19—41no—
854C4×C19—41no—
855C4×C19—41no—
856C4×C19—41no—
857C4×C19—41no—
858C4×C19—41no—
859C4×C19—41no—
860C4×C19—41no—
861C4×C19#58511yescharacteristic
862C4×C19#58511yescharacteristic
863#563—21no—
864#562—21no—
865#556—21no—
866#556C22×C1911yescharacteristic
867#556C22×C1911yescharacteristic
868#556C22×C1911yescharacteristic
869#555—21no—
870#555C22×C1911yescharacteristic
871#555C22×C1911yescharacteristic
872#554—21no—
873#554C22×C1911yescharacteristic
874#553—21no—
875#553—21no—
876#553C22×C1911yescharacteristic
877#553C22×C1911yescharacteristic
878#553C22×C1911yescharacteristic
879#552—21no—
880#552C22×C1911yescharacteristic
881#552C22×C1911yescharacteristic
882#552C22×C1911yescharacteristic
883D4×Q8C22×C1911yescharacteristic
884#548C22×C1911yescharacteristic
885#548C22×C1911yescharacteristic
886#547C22×C1911yescharacteristic
887#544C22×C1911yescharacteristic
888#542—21no—
889#542C22×C1911yescharacteristic
890#541C22×C1911yescharacteristic
891#539—21no—
892#538—21no—
893#538—21no—
894#538—21no—
895#538—21no—
896#537C22×C1911yescharacteristic
897#537C22×C1911yescharacteristic
898#536C22×C1911yescharacteristic
899#529—21no—
900#529—21no—
901#525C22×C1911yescharacteristic
902#525C22×C1911yescharacteristic
903#525C22×C1911yescharacteristic
904C2×C22⋊Q8C22×C1911yescharacteristic
905#520C22×C1911yescharacteristic
906#520C22×C1911yescharacteristic
907C2×#117C22×C1911yescharacteristic
908#501C22×C1911yescharacteristic, complemented
909#501C22×C1911yescharacteristic, complemented
910#500C22×C1911yescharacteristic, complemented
911#499C22×C1911yescharacteristic, complemented
912#491C22×C1911yescharacteristic, complemented
913#489C22×C1911yescharacteristic, complemented
914#488C22×C1911yescharacteristic, complemented
915#487C22×C1911yescharacteristic, complemented
916#485C22×C1911yescharacteristic
917#485C22×C1911yescharacteristic
918#485C22×C1911yescharacteristic
919#485C22×C1911yescharacteristic
920#485C22×C1911yescharacteristic
921#485C22×C1911yescharacteristic
922#485C22×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#484C22×C1911yescharacteristic
931#484C22×C1911yescharacteristic
932#484C22×C1911yescharacteristic
933#484C22×C1911yescharacteristic, complemented
934#484C22×C1911yescharacteristic, complemented
935#483C22×C1911yescharacteristic
936#483C22×C1911yescharacteristic
937#483C22×C1911yescharacteristic
938#483C22×C1911yescharacteristic
939#483C22×C1911yescharacteristic, complemented
940#483C22×C1911yescharacteristic, complemented
941#482C22×C1911yescharacteristic
942#482C22×C1911yescharacteristic
943#482C22×C1911yescharacteristic
944#482C22×C1911yescharacteristic
945#482C22×C1911yescharacteristic, complemented
946#482C22×C1911yescharacteristic, complemented
947#481C22×C1911yescharacteristic
948#481C22×C1911yescharacteristic, complemented
949#480C22×C1911yescharacteristic
950#480C22×C1911yescharacteristic
951#480C22×C1911yescharacteristic, complemented
952#479C22×C1911yescharacteristic, complemented
953#479C22×C1911yescharacteristic, complemented
954#479C22×C1911yescharacteristic, complemented
955#479C22×C1911yescharacteristic, complemented
956#478C22×C1911yescharacteristic, complemented
957#478C22×C1911yescharacteristic, complemented
958#477C22×C1911yescharacteristic, complemented
959#477C22×C1911yescharacteristic, complemented
960#476C22×C1911yescharacteristic, complemented
961#475C22×C1911yescharacteristic, complemented
962#475C22×C1911yescharacteristic, complemented
963#474C22×C1911yescharacteristic, complemented
964#470C22×C1911yescharacteristic
965#470C22×C1911yescharacteristic, complemented
966#469C22×C1911yescharacteristic
967#468C22×C1911yescharacteristic
968#468C22×C1911yescharacteristic
969#468C22×C1911yescharacteristic, complemented
970#468C22×C1911yescharacteristic, complemented
971#468C22×C1911yescharacteristic, complemented
972#467C22×C1911yescharacteristic
973#467C22×C1911yescharacteristic
974#467C22×C1911yescharacteristic, complemented
975#467C22×C1911yescharacteristic, complemented
976#466C22×C1911yescharacteristic, complemented
977#465C22×C1911yescharacteristic
978#465C22×C1911yescharacteristic
979#465C22×C1911yescharacteristic, complemented
980#464C22×C1911yescharacteristic, complemented
981#463C22×C1911yescharacteristic, complemented
982#462C22×C1911yescharacteristic, complemented
983#461C22×C1911yescharacteristic, complemented
984#452C22×C1911yescharacteristic
985#452C22×C1911yescharacteristic
986#452C22×C1911yescharacteristic
987#452C22×C1911yescharacteristic
988#452C22×C1911yescharacteristic, complemented
989#451C22×C1911yescharacteristic
990#451C22×C1911yescharacteristic, complemented
991#449C22×C1911yescharacteristic
992#449C22×C1911yescharacteristic
993#449C22×C1911yescharacteristic, complemented
994#448C22×C1911yescharacteristic
995#448C22×C1911yescharacteristic, complemented
996#442C22×C1911yescharacteristic, complemented
997#441C22×C1911yescharacteristic, complemented
998#441C22×C1911yescharacteristic, complemented
999#440C22×C1911yescharacteristic, complemented
1000C4×Q16C22×C1911yescharacteristic, complemented
1001C4×SD16C22×C1911yescharacteristic, complemented
1002C4×SD16C22×C1911yescharacteristic, complemented
1003C4×SD16C22×C1911yescharacteristic, complemented
1004#436C22×C1911yescharacteristic
1005#436C22×C1911yescharacteristic
1006#435C22×C1911yescharacteristic
1007#435C22×C1911yescharacteristic
1008#435C22×C1911yescharacteristic
1009#435C22×C1911yescharacteristic
1010C8×D4C22×C1911yescharacteristic
1011C8×D4C22×C1911yescharacteristic
1012#433C22×C1911yescharacteristic
1013#433C22×C1911yescharacteristic
1014#428C22×C1911yescharacteristic
1015#428C22×C1911yescharacteristic
1016#428C22×C1911yescharacteristic, complemented
1017#428C22×C1911yescharacteristic, complemented
1018#427C22×C1911yescharacteristic
1019#427C22×C1911yescharacteristic
1020#427C22×C1911yescharacteristic, complemented
1021C2×#106C22×C1911yescharacteristic, complemented
1022#419C22×C1911yescharacteristic
1023#419C22×C1911yescharacteristic
1024#419C22×C1911yescharacteristic, complemented
1025#417C22×C1911yescharacteristic, complemented
1026#416C22×C1911yescharacteristic
1027#416C22×C1911yescharacteristic
1028#416C22×C1911yescharacteristic, complemented
1029C2×#103C22×C1911yescharacteristic, complemented
1030#408C22×C1911yescharacteristic
1031#408C22×C1911yescharacteristic
1032#407C22×C1911yescharacteristic
1033C2×C22⋊C8C22×C1911yescharacteristic
1034C2×C19—41no—
1035C2×C19—41no—
1036C2×C19—41no—
1037C2×C19—41no—
1038C2×C19—41no—
1039C2×C19—81no—
1040C2×C19—81no—
1041C2×C19#348511yescharacteristic
1042C2×C19#358411yescharacteristic
1043C2×C19#358611yescharacteristic
1044C2×#41C23×C1911yescharacteristic
1045C2×#41C23×C1911yescharacteristic
1046C2×#41C23×C1911yescharacteristic
1047C2×#41C23×C1911yescharacteristic
1048C22×Q8C23×C1911yescharacteristic
1049C22×Q8C23×C1911yescharacteristic
1050C23×C4C23×C1911yescharacteristic
1051C2×Q16C23×C1911yescharacteristic
1052C2×Q16C23×C1911yescharacteristic
1053C2×Q16C23×C1911yescharacteristic
1054C2×SD16C23×C1911yescharacteristic
1055C2×SD16C23×C1911yescharacteristic
1056C2×SD16C23×C1911yescharacteristic
1057C2×SD16C23×C1911yescharacteristic
1058C2×D8C23×C1911yescharacteristic
1059C2×M16C23×C1911yescharacteristic
1060C2×M16C23×C1911yescharacteristic
1061C2×M16C23×C1911yescharacteristic
1062C2×M16C23×C1911yescharacteristic
1063C22×C8C23×C1911yescharacteristic
1064C22×C8C23×C1911yescharacteristic
1065C22×C8C23×C1911yescharacteristic
1066C22×C8C23×C1911yescharacteristic
1067C4⋊Q8—21no—
1068C4⋊Q8—21no—
1069C4⋊Q8—21no—
1070C4⋊Q8C23×C1911yescharacteristic
1071C4⋊Q8C23×C1911yescharacteristic
1072C4⋊Q8C23×C1911yescharacteristic
1073C4⋊Q8C23×C1911yescharacteristic
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
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#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125C23×C1911yescharacteristic
1097#125C23×C1911yescharacteristic
1098#125C23×C1911yescharacteristic
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124C23×C1911yescharacteristic
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
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#123D4×C1911yescharacteristic
1125#123D4×C1911yescharacteristic
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8D4×C1911yescharacteristic
1140C22⋊Q8D4×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
1149C22⋊Q8C23×C1911yescharacteristic
1150C22⋊Q8C23×C1911yescharacteristic
1151C22⋊Q8C23×C1911yescharacteristic
1152C22⋊Q8C23×C1911yescharacteristic
1153C22⋊Q8C23×C1911yescharacteristic
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#121D4×C1911yescharacteristic
1169#121D4×C1911yescharacteristic
1170#121C23×C1911yescharacteristic
1171#121C23×C1911yescharacteristic
1172#121C23×C1911yescharacteristic
1173#121C23×C1911yescharacteristic
1174#121C23×C1911yescharacteristic
1175#121C23×C1911yescharacteristic
1176#121C23×C1911yescharacteristic
1177#120—21no—
1178#120—21no—
1179#120D4×C1911yescharacteristic
1180#120D4×C1911yescharacteristic
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8C23×C1911yescharacteristic
1186C4×Q8C23×C1911yescharacteristic
1187C4×Q8C23×C1911yescharacteristic
1188C4×Q8C23×C1911yescharacteristic
1189C4×Q8C23×C1911yescharacteristic
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
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×D4C23×C1911yescharacteristic
1207C4×D4C23×C1911yescharacteristic
1208C4×D4C23×C1911yescharacteristic
1209C4×D4C23×C1911yescharacteristic
1210C4×D4C23×C1911yescharacteristic
1211C4×D4C23×C1911yescharacteristic
1212C4×D4C23×C1911yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117C23×C1911yescharacteristic
1222#117C23×C1911yescharacteristic
1223#117C23×C1911yescharacteristic
1224#117C23×C1911yescharacteristic
1225#117C23×C1911yescharacteristic
1226#117C23×C1911yescharacteristic
1227#117C23×C1911yescharacteristic
1228#117C23×C1911yescharacteristic
1229#117C23×C1911yescharacteristic
1230#117C23×C1911yescharacteristic
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4—21no—
1234C2×C4⋊C4C23×C1911yescharacteristic
1235C2×C4⋊C4C23×C1911yescharacteristic
1236C2×C4⋊C4C23×C1911yescharacteristic
1237C2×C4⋊C4C23×C1911yescharacteristic
1238C2×C4⋊C4C23×C1911yescharacteristic
1239C2×C4⋊C4C23×C1911yescharacteristic
1240C2×C22⋊C4—21no—
1241C2×C22⋊C4—21no—
1242C2×C42—21no—
1243#107C23×C1911yescharacteristic
1244#107C23×C1911yescharacteristic
1245#107C23×C1911yescharacteristic
1246#107C23×C1911yescharacteristic
1247#107C23×C1911yescharacteristic
1248#107C23×C1911yescharacteristic
1249#107C23×C1911yescharacteristic
1250#107C23×C1911yescharacteristic
1251#107C23×C1911yescharacteristic
1252#107C23×C1911yescharacteristic
1253#107C23×C1911yescharacteristic
1254#107C23×C1911yescharacteristic
1255#106C23×C1911yescharacteristic
1256#106C23×C1911yescharacteristic
1257#106C23×C1911yescharacteristic
1258#106C23×C1911yescharacteristic
1259#106C23×C1911yescharacteristic
1260#106C23×C1911yescharacteristic
1261#106C23×C1911yescharacteristic
1262#106C23×C1911yescharacteristic
1263#106C23×C1911yescharacteristic
1264#106C23×C1911yescharacteristic
1265#106C23×C1911yescharacteristic
1266#106C23×C1911yescharacteristic
1267C4⋊C8C23×C1911yescharacteristic
1268C4⋊C8C23×C1911yescharacteristic
1269C4⋊C8C23×C1911yescharacteristic
1270C4⋊C8C23×C1911yescharacteristic
1271#103C23×C1911yescharacteristic
1272#103C23×C1911yescharacteristic
1273#103C23×C1911yescharacteristic
1274#103C23×C1911yescharacteristic
1275#103C23×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#103C23×C1911yescharacteristic
1289#103C23×C1911yescharacteristic
1290#103C23×C1911yescharacteristic
1291#103C23×C1911yescharacteristic
1292#103C23×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
1303C22⋊C8C23×C1911yescharacteristic
1304C22⋊C8C23×C1911yescharacteristic
1305C22⋊C8C23×C1911yescharacteristic
1306C22⋊C8C23×C1911yescharacteristic
1307C22⋊C8C23×C1911yescharacteristic
1308C22⋊C8C23×C1911yescharacteristic
1309C22⋊C8C23×C1911yescharacteristic
1310C22⋊C8C23×C1911yescharacteristic
1311C22⋊C8C23×C1911yescharacteristic
1312C22⋊C8C23×C1911yescharacteristic
1313C22⋊C8C23×C1911yescharacteristic
1314C22⋊C8C23×C1911yescharacteristic
1315#97C23×C1911yescharacteristic
1316#97C23×C1911yescharacteristic
1317C4×C8C23×C1911yescharacteristic
1318C4×C8C23×C1911yescharacteristic
1319C19#6175011yescharacteristic, direct product factor, Sylow
1320C24C2×D4×C1911yescharacteristic
1321#41—41no—
1322#41—41no—
1323#41—41no—
1324#41—41no—
1325#41—41no—
1326#41—41no—
1327#41—41no—
1328#41—41no—
1329C2×Q8—21no—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—21no—
1333C2×Q8—21no—
1334C2×Q8—41no—
1335C2×Q8—41no—
1336C2×Q8—41no—
1337C2×Q8—41no—
1338C2×Q8C2×D4×C1911yescharacteristic
1339C2×Q8C24×C1911yescharacteristic
1340C2×Q8C24×C1911yescharacteristic
1341C2×Q8C24×C1911yescharacteristic
1342C2×Q8C24×C1911yescharacteristic
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×D4C2×D4×C1911yescharacteristic
1354C2×D4C2×D4×C1911yescharacteristic
1355C2×D4C2×D4×C1911yescharacteristic
1356C2×D4C2×D4×C1911yescharacteristic
1357C2×D4C2×D4×C1911yescharacteristic
1358C2×D4C2×D4×C1911yescharacteristic
1359C2×D4C2×D4×C1911yescharacteristic
1360C2×D4C24×C1911yescharacteristic
1361C2×D4C24×C1911yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
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—41no—
1377C22×C4—41no—
1378C22×C4C2×D4×C1911yescharacteristic
1379C22×C4C2×D4×C1911yescharacteristic
1380C22×C4C2×D4×C1911yescharacteristic
1381C22×C4C24×C1911yescharacteristic
1382C22×C4C24×C1911yescharacteristic
1383C22×C4C24×C1911yescharacteristic
1384C22×C4C24×C1911yescharacteristic
1385C22×C4C24×C1911yescharacteristic
1386Q16—41no—
1387Q16—41no—
1388Q16—41no—
1389SD16—41no—
1390SD16—41no—
1391SD16—41no—
1392SD16—41no—
1393D8—41no—
1394M16—41no—
1395M16—41no—
1396M16—41no—
1397M16—41no—
1398C2×C8—41no—
1399C2×C8—41no—
1400C2×C8—41no—
1401C2×C8—41no—
1402C2×C8C24×C1911yescharacteristic
1403C2×C8C24×C1911yescharacteristic
1404C2×C8C24×C1911yescharacteristic
1405C2×C8C24×C1911yescharacteristic
1406C2×C8C24×C1911yescharacteristic
1407C2×C8C24×C1911yescharacteristic
1408C2×C8C24×C1911yescharacteristic
1409C2×C8C24×C1911yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1446C4⋊C4C2×D4×C1911yescharacteristic
1447C4⋊C4C2×D4×C1911yescharacteristic
1448C4⋊C4C2×D4×C1911yescharacteristic
1449C4⋊C4C2×D4×C1911yescharacteristic
1450C4⋊C4C2×D4×C1911yescharacteristic
1451C4⋊C4C24×C1911yescharacteristic
1452C4⋊C4C24×C1911yescharacteristic
1453C4⋊C4C24×C1911yescharacteristic
1454C4⋊C4C24×C1911yescharacteristic
1455C4⋊C4C24×C1911yescharacteristic
1456C4⋊C4C24×C1911yescharacteristic
1457C4⋊C4C24×C1911yescharacteristic
1458C4⋊C4C24×C1911yescharacteristic
1459C4⋊C4C24×C1911yescharacteristic
1460C4⋊C4C24×C1911yescharacteristic
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1496C22⋊C4C2×D4×C1911yescharacteristic
1497C22⋊C4C2×D4×C1911yescharacteristic
1498C22⋊C4C2×D4×C1911yescharacteristic
1499C22⋊C4C2×D4×C1911yescharacteristic
1500C22⋊C4C2×D4×C1911yescharacteristic
1501C22⋊C4C2×D4×C1911yescharacteristic
1502C22⋊C4C2×D4×C1911yescharacteristic
1503C22⋊C4C2×D4×C1911yescharacteristic
1504C22⋊C4C2×D4×C1911yescharacteristic
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42C24×C1911yescharacteristic
1520C42C24×C1911yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23C22×D4×C1911yescharacteristic
1527C23C22×D4×C1911yescharacteristic
1528C23C22×D4×C1911yescharacteristic
1529C23C22×D4×C1911yescharacteristic
1530C23C22×D4×C1911yescharacteristic
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—41no—
1540Q8—81no—
1541Q8—81no—
1542Q8—81no—
1543Q8—81no—
1544Q8—81no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—42no—
1557D4—42no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
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—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—42no—
1594C2×C4—81no—
1595C2×C4—81no—
1596C2×C4—81no—
1597C2×C4—81no—
1598C2×C4—81no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4C22×D4×C1911yescharacteristic
1608C2×C4C22×D4×C1911yescharacteristic
1609C2×C4C22×D4×C1911yescharacteristic
1610C2×C4C22×D4×C1911yescharacteristic
1611C2×C4C22×D4×C1911yescharacteristic
1612C2×C4C22×D4×C1911yescharacteristic
1613C2×C4C22×D4×C1911yescharacteristic
1614C2×C4C22×D4×C1911yescharacteristic
1615C2×C4C22×D4×C1911yescharacteristic
1616C2×C4C25×C1911yescharacteristic
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C8—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—82no—
1647C22C23×D4×C1911yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4C19×#58511yescharacteristic
1672C4C19×#58511yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—41no—
1676C2—41no—
1677C2—41no—
1678C2—81no—
1679C2—81no—
1680C2C19×#348511yescharacteristic
1681C2C19×#358411yescharacteristic
1682C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3541C2semidirect
2. C19×#3493C2semidirect
3. C19×#3357C2semidirect
4. C19×#3351C2semidirect
5. C19×#3350C2semidirect
6. C19×#3349C2semidirect
7. C19×#3347C2semidirect
8. C19×#3344C2semidirect
9. C19×#3342C2semidirect
10. C19×#3337C2semidirect
11. C19×#3329C2semidirect
12. C19×#3327C2semidirect
13. C19×#3321C2semidirect
14. C19×#3313C2semidirect
15. C19×#3312C2semidirect
16. C19×#3307C2semidirect
17. C19×#3302C2semidirect
18. C19×#3301C2semidirect
19. C19×#3243C2semidirect
20. C19×#3242C2semidirect
21. C19×#3203C2semidirect
22. C19×#3201C2semidirect
23. C19×#3197C2semidirect
24. C19×#3190C2semidirect
25. C19×#3125C2semidirect
26. C19×#3120C2semidirect
27. C19×#3099C2semidirect
28. C19×#3097C2semidirect
29. C19×#3095C2semidirect
30. C19×#3091C2semidirect
31. C19×#2976C2semidirect
77. C19×#501C22semidirect
78. C19×#501C22semidirect
79. C19×#500C22semidirect
80. C19×#499C22semidirect
81. C19×#491C22semidirect
82. C19×#489C22semidirect
83. C19×#488C22semidirect
84. C19×#487C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#485C22semidirect
98. C19×#485C22semidirect
102. C19×#484C22semidirect
103. C19×#484C22semidirect
108. C19×#483C22semidirect
109. C19×#483C22semidirect
114. C19×#482C22semidirect
115. C19×#482C22semidirect
117. C19×#481C22semidirect
120. C19×#480C22semidirect
121. C19×#479C22semidirect
122. C19×#479C22semidirect
123. C19×#479C22semidirect
124. C19×#479C22semidirect
125. C19×#478C22semidirect
126. C19×#478C22semidirect
127. C19×#477C22semidirect
128. C19×#477C22semidirect
129. C19×#476C22semidirect
130. C19×#475C22semidirect
131. C19×#475C22semidirect
132. C19×#474C22semidirect
134. C19×#470C22semidirect
138. C19×#468C22semidirect
139. C19×#468C22semidirect
140. C19×#468C22semidirect
143. C19×#467C22semidirect
144. C19×#467C22semidirect
145. C19×#466C22semidirect
148. C19×#465C22semidirect
149. C19×#464C22semidirect
150. C19×#463C22semidirect
151. C19×#462C22semidirect
152. C19×#461C22semidirect
157. C19×#452C22semidirect
159. C19×#451C22semidirect
162. C19×#449C22semidirect
164. C19×#448C22semidirect
165. C19×#442C22semidirect
166. C19×#441C22semidirect
167. C19×#441C22semidirect
168. C19×#440C22semidirect
169. C4×Q16×C19C22semidirect
170. C4×SD16×C19C22semidirect
171. C4×SD16×C19C22semidirect
172. C4×SD16×C19C22semidirect
185. C19×#428C22semidirect
186. C19×#428C22semidirect
189. C19×#427C22semidirect
190. C2×C19×#106C22semidirect
193. C19×#419C22semidirect
194. C19×#417C22semidirect
197. C19×#416C22semidirect
198. C2×C19×#103C22semidirect
679. #61750C19direct (N × H)
784. #3541C2×C19semidirect
785. #3493C2×C19semidirect
786. #3357C2×C19semidirect
787. #3351C2×C19semidirect
788. #3350C2×C19semidirect
789. #3349C2×C19semidirect
790. #3347C2×C19semidirect
791. #3344C2×C19semidirect
792. #3342C2×C19semidirect
793. #3337C2×C19semidirect
794. #3329C2×C19semidirect
795. #3327C2×C19semidirect
796. #3321C2×C19semidirect
797. #3313C2×C19semidirect
798. #3312C2×C19semidirect
799. #3307C2×C19semidirect
800. #3302C2×C19semidirect
801. #3301C2×C19semidirect
802. #3243C2×C19semidirect
803. #3242C2×C19semidirect
804. #3203C2×C19semidirect
805. #3201C2×C19semidirect
806. #3197C2×C19semidirect
807. #3190C2×C19semidirect
808. #3125C2×C19semidirect
809. #3120C2×C19semidirect
810. #3099C2×C19semidirect
811. #3097C2×C19semidirect
812. #3095C2×C19semidirect
813. #3091C2×C19semidirect
814. #2976C2×C19semidirect
908. #501C22×C19semidirect
909. #501C22×C19semidirect
910. #500C22×C19semidirect
911. #499C22×C19semidirect
912. #491C22×C19semidirect
913. #489C22×C19semidirect
914. #488C22×C19semidirect
915. #487C22×C19semidirect
926. #485C22×C19semidirect
927. #485C22×C19semidirect
928. #485C22×C19semidirect
929. #485C22×C19semidirect
933. #484C22×C19semidirect
934. #484C22×C19semidirect
939. #483C22×C19semidirect
940. #483C22×C19semidirect
945. #482C22×C19semidirect
946. #482C22×C19semidirect
948. #481C22×C19semidirect
951. #480C22×C19semidirect
952. #479C22×C19semidirect
953. #479C22×C19semidirect
954. #479C22×C19semidirect
955. #479C22×C19semidirect
956. #478C22×C19semidirect
957. #478C22×C19semidirect
958. #477C22×C19semidirect
959. #477C22×C19semidirect
960. #476C22×C19semidirect
961. #475C22×C19semidirect
962. #475C22×C19semidirect
963. #474C22×C19semidirect
965. #470C22×C19semidirect
969. #468C22×C19semidirect
970. #468C22×C19semidirect
971. #468C22×C19semidirect
974. #467C22×C19semidirect
975. #467C22×C19semidirect
976. #466C22×C19semidirect
979. #465C22×C19semidirect
980. #464C22×C19semidirect
981. #463C22×C19semidirect
982. #462C22×C19semidirect
983. #461C22×C19semidirect
988. #452C22×C19semidirect
990. #451C22×C19semidirect
993. #449C22×C19semidirect
995. #448C22×C19semidirect
996. #442C22×C19semidirect
997. #441C22×C19semidirect
998. #441C22×C19semidirect
999. #440C22×C19semidirect
1000. C4×Q16C22×C19semidirect
1001. C4×SD16C22×C19semidirect
1002. C4×SD16C22×C19semidirect
1003. C4×SD16C22×C19semidirect
1016. #428C22×C19semidirect
1017. #428C22×C19semidirect
1020. #427C22×C19semidirect
1021. C2×#106C22×C19semidirect
1024. #419C22×C19semidirect
1025. #417C22×C19semidirect
1028. #416C22×C19semidirect
1029. C2×#103C22×C19semidirect
1319. C19#61750direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35412
C19×#34932
C19×#33572
C19×#33512
C19×#33502
C19×#33492
C19×#33472
C19×#33442
C19×#33422
C19×#33372
C19×#33292
C19×#33272
C19×#33212
C19×#33132
C19×#33122
C19×#33072
C19×#33022
C19×#33012
C19×#32432
C19×#32422
C19×#32032
C19×#32012
C19×#31972
C19×#31902
C19×#31252
C19×#31202
C19×#30992
C19×#30972
C19×#30952
C19×#30912
C19×#29762
#6175019