Finite Group Databasebeta

← C19×#62302 #18068261

Subgroups — C19×#62302 #18068261

Order 4864.

1864 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3520C211yesmaximal, characteristic, complemented
2C19×#3505C211yesmaximal, characteristic, complemented
3C19×#3352C211yesmaximal, characteristic, complemented
4C19×#3349C211yesmaximal, characteristic, complemented
5C19×#3345C211yesmaximal, characteristic, complemented
6C19×#3337C211yesmaximal, characteristic, complemented
7C19×#3327C211yesmaximal, characteristic, complemented
8C19×#3323C211yesmaximal, characteristic, complemented
9C19×#3320C211yesmaximal, characteristic, complemented
10C19×#3315C211yesmaximal, characteristic, complemented
11C19×#3311C211yesmaximal, characteristic, complemented
12C19×#3308C211yesmaximal, characteristic, complemented
13C19×#3301C211yesmaximal, characteristic, complemented
14C19×#3300C211yesmaximal, characteristic, complemented
15C19×#3285C211yesmaximal, characteristic, complemented
16C19×#3275C211yesmaximal, characteristic, complemented
17C19×#3270C211yesmaximal, characteristic, complemented
18C19×#3267C211yesmaximal, characteristic, complemented
19C19×#3256C211yesmaximal, characteristic, complemented
20C19×#3252C211yesmaximal, characteristic, complemented
21C19×#3197C211yesmaximal, characteristic, complemented
22C19×#3196C211yesmaximal, characteristic, complemented
23C19×#3196C211yesmaximal, characteristic, complemented
24C19×#3193C211yesmaximal, characteristic, complemented
25C19×#3183C211yesmaximal, characteristic, complemented
26C19×#3172C211yesmaximal, characteristic, complemented
27C19×#3056C211yesmaximal, characteristic, complemented
28C19×#3055C211yesmaximal, characteristic, complemented
29C19×#3054C211yesmaximal, characteristic, complemented
30C2×C19×#470C211yesmaximal, characteristic, complemented
31D4×M16×C19C211yesmaximal, characteristic, complemented
32C2×C19×#137C2211yescharacteristic, complemented
33C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×C19×#135C2211yescharacteristic, complemented
35C22×Q16×C19C2211yescharacteristic, complemented
36C22×M16×C19C2211yescharacteristic
37C22×M16×C19C2211yescharacteristic, complemented
38C19×#556C2211yescharacteristic
39C19×#554—21no—
40C19×#553—21no—
41C19×#553—21no—
42C19×#553C2211yescharacteristic
43C19×#553C2211yescharacteristic
44C19×#552C2211yescharacteristic
45C19×#552C2211yescharacteristic
46C19×#552C2211yescharacteristic
47C19×#552C2211yescharacteristic, complemented
48C19×#551—21no—
49C19×#551—21no—
50C19×#551—21no—
51C19×#551—21no—
52D4×Q8×C19C2211yescharacteristic, complemented
53C19×#548C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#548C2211yescharacteristic
56C19×#548C2211yescharacteristic, complemented
57C19×#547C2211yescharacteristic
58C19×#547C2211yescharacteristic, complemented
59C19×#546—21no—
60C19×#546C2211yescharacteristic
61C19×#546C2211yescharacteristic
62C19×#542—21no—
63C19×#539—21no—
64C19×#539—21no—
65C19×#539—21no—
66C19×#538—21no—
67C19×#534—21no—
68C19×#533C2211yescharacteristic, complemented
69C19×#529C2211yescharacteristic
70C19×#529C2211yescharacteristic
71C19×#529C2211yescharacteristic, complemented
72C19×#525C2211yescharacteristic
73C19×#525C2211yescharacteristic
74C19×#525C2211yescharacteristic
75C19×#525C2211yescharacteristic, complemented
76C2×C19×C22⋊Q8C2211yescharacteristic
77C2×C19×C22⋊Q8C2211yescharacteristic
78C2×C19×C22⋊Q8C2211yescharacteristic, complemented
79C2×C19×#121C2211yescharacteristic
80C19×#520—21no—
81C19×#518—21no—
82C2×C4×D4×C19C2211yescharacteristic
83C19×#501C2211yescharacteristic, complemented
84C19×#499C2211yescharacteristic, complemented
85C19×#497C2211yescharacteristic, complemented
86C19×#495C2211yescharacteristic, complemented
87C19×#491C2211yescharacteristic, complemented
88C19×#489C2211yescharacteristic, complemented
89C19×#488C2211yescharacteristic, complemented
90C19×#488C2211yescharacteristic, complemented
91C19×#485C2211yescharacteristic, complemented
92C19×#485C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#484C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic, complemented
99C19×#484C2211yescharacteristic, complemented
100C19×#484C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#482C2211yescharacteristic, complemented
103C19×#481C2211yescharacteristic, complemented
104C19×#481C2211yescharacteristic, complemented
105C19×#480C2211yescharacteristic, complemented
106C19×#480C2211yescharacteristic, complemented
107C19×#479C2211yescharacteristic, complemented
108C19×#479C2211yescharacteristic, complemented
109C19×#479C2211yescharacteristic, complemented
110C19×#479C2211yescharacteristic, complemented
111C19×#478C2211yescharacteristic, complemented
112C19×#478C2211yescharacteristic, complemented
113C19×#477C2211yescharacteristic, complemented
114C19×#476C2211yescharacteristic, complemented
115C19×#470C2211yescharacteristic, complemented
116C19×#470C2211yescharacteristic, complemented
117C19×#470C2211yescharacteristic, complemented
118C19×#470C2211yescharacteristic, complemented
119C19×#470C2211yescharacteristic, complemented
120C19×#470C2211yescharacteristic, complemented
121C19×#470C2211yescharacteristic, complemented
122C19×#470C2211yescharacteristic, complemented
123C19×#470C2211yescharacteristic, complemented
124C19×#470C2211yescharacteristic, complemented
125C19×#470C2211yescharacteristic, complemented
126C19×#469C2211yescharacteristic
127C19×#469C2211yescharacteristic
128C19×#469C2211yescharacteristic, complemented
129C19×#468C2211yescharacteristic
130C19×#468C2211yescharacteristic
131C19×#468C2211yescharacteristic
132C19×#468C2211yescharacteristic
133C19×#468C2211yescharacteristic
134C19×#468C2211yescharacteristic
135C19×#468C2211yescharacteristic, complemented
136C19×#468C2211yescharacteristic, complemented
137C19×#468C2211yescharacteristic, complemented
138C19×#468C2211yescharacteristic, complemented
139C19×#467C2211yescharacteristic, complemented
140C19×#467C2211yescharacteristic, complemented
141C19×#466C2211yescharacteristic, complemented
142C19×#466C2211yescharacteristic, complemented
143C19×#465C2211yescharacteristic, complemented
144C19×#465C2211yescharacteristic, complemented
145C19×#465C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic, complemented
147C19×#464C2211yescharacteristic, complemented
148C19×#464C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic, complemented
150C19×#464C2211yescharacteristic, complemented
151C19×#463C2211yescharacteristic, complemented
152C19×#463C2211yescharacteristic, complemented
153C19×#462C2211yescharacteristic, complemented
154C19×#461C2211yescharacteristic, complemented
155C19×#452C2211yescharacteristic, complemented
156C19×#452C2211yescharacteristic, complemented
157C19×#452C2211yescharacteristic, complemented
158C19×#452C2211yescharacteristic, complemented
159C19×#452C2211yescharacteristic, complemented
160C19×#452C2211yescharacteristic, complemented
161C19×#451C2211yescharacteristic, complemented
162C19×#451C2211yescharacteristic, complemented
163C19×#450C2211yescharacteristic, complemented
164C19×#450C2211yescharacteristic, complemented
165C19×#449C2211yescharacteristic, complemented
166C19×#449C2211yescharacteristic, complemented
167C19×#448C2211yescharacteristic, complemented
168C19×#448C2211yescharacteristic, complemented
169C19×#448C2211yescharacteristic, complemented
170C19×#448C2211yescharacteristic, complemented
171C19×#442C2211yescharacteristic, complemented
172C19×#441C2211yescharacteristic, complemented
173C19×#440C2211yescharacteristic, complemented
174C19×#440C2211yescharacteristic, complemented
175C4×Q16×C19C2211yescharacteristic, complemented
176C4×Q16×C19C2211yescharacteristic, complemented
177C4×SD16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C19×#436C2211yescharacteristic
180C19×#436C2211yescharacteristic
181C19×#435C2211yescharacteristic
182C19×#435C2211yescharacteristic
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C8×D4×C19C2211yescharacteristic, complemented
186C8×D4×C19C2211yescharacteristic, complemented
187C19×#428C2211yescharacteristic, complemented
188C19×#428C2211yescharacteristic, complemented
189C19×#427C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic, complemented
191C19×#423C2211yescharacteristic, complemented
192C19×#419C2211yescharacteristic, complemented
193C19×#418C2211yescharacteristic, complemented
194C19×#417C2211yescharacteristic, complemented
195C19×#417C2211yescharacteristic, complemented
196C19×#416C2211yescharacteristic, complemented
197C19×#416C2211yescharacteristic, complemented
198C2×C19×#103C2211yescharacteristic, complemented
199C2×C19×#103C2211yescharacteristic, complemented
200C19×#407C2211yescharacteristic
201C19×#407C2211yescharacteristic, complemented
202C4×M16×C19C2211yescharacteristic, complemented
203C2×#41×C19—21no—
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C2×#41×C19C2311yescharacteristic
208C22×Q8×C19C2311yescharacteristic
209C22×Q8×C19C2311yescharacteristic
210C22×Q8×C19C2311yescharacteristic
211C22×D4×C19—21no—
212C22×D4×C19D411yescharacteristic
213C22×D4×C19C2311yescharacteristic
214C23×C4×C19C2311yescharacteristic
215C23×C4×C19C2311yescharacteristic
216C19×#137—42no—
217C19×AGL(1,ℤ/8)—42no—
218C19×#135—42no—
219C2×Q16×C19—42no—
220C2×Q16×C19C2311yescharacteristic
221C2×Q16×C19C2311yescharacteristic
222C2×Q16×C19C2311yescharacteristic
223C2×Q16×C19C2311yescharacteristic
224C2×Q16×C19C2311yescharacteristic
225C2×Q16×C19C2311yescharacteristic
226C2×SD16×C19C2311yescharacteristic
227C2×SD16×C19C2311yescharacteristic
228C2×SD16×C19C2311yescharacteristic
229C2×SD16×C19C2311yescharacteristic
230C2×SD16×C19C2311yescharacteristic
231C2×SD16×C19C2311yescharacteristic
232C2×SD16×C19C2311yescharacteristic
233C2×SD16×C19C2311yescharacteristic
234C2×D8×C19C2311yescharacteristic
235C2×D8×C19C2311yescharacteristic
236C2×M16×C19—42no—
237C2×M16×C19—42no—
238C2×M16×C19C2311yescharacteristic
239C2×M16×C19C2311yescharacteristic
240C2×M16×C19C2311yescharacteristic
241C2×M16×C19C2311yescharacteristic
242C2×M16×C19C2311yescharacteristic
243C2×M16×C19C2311yescharacteristic
244C2×M16×C19C2311yescharacteristic
245C2×M16×C19C2311yescharacteristic
246C22×C8×C19C2311yescharacteristic
247C22×C8×C19C2311yescharacteristic
248C22×C8×C19C2311yescharacteristic
249C22×C8×C19C2311yescharacteristic
250C19×C4⋊Q8—21no—
251C19×C4⋊Q8C2311yescharacteristic
252C19×C4⋊Q8C2311yescharacteristic
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×#126—21no—
262C19×#126—21no—
263C19×#126—21no—
264C19×#125—21no—
265C19×#125—21no—
266C19×#125—21no—
267C19×#125—21no—
268C19×#125—21no—
269C19×#125C2311yescharacteristic
270C19×#125C2311yescharacteristic
271C19×#125C2311yescharacteristic
272C19×#124—21no—
273C19×#124—21no—
274C19×#124—21no—
275C19×#124—21no—
276C19×#124—21no—
277C19×#124C2311yescharacteristic
278C19×#124C2311yescharacteristic
279C19×#124C2311yescharacteristic
280C19×#123—21no—
281C19×#123—21no—
282C19×#123—21no—
283C19×#123—21no—
284C19×#123—21no—
285C19×#123—21no—
286C19×#123—21no—
287C19×#123—21no—
288C19×#123—21no—
289C19×#123—21no—
290C19×#123—21no—
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×C22⋊Q8—21no—
300C19×C22⋊Q8—21no—
301C19×C22⋊Q8—21no—
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8—21no—
306C19×C22⋊Q8—21no—
307C19×C22⋊Q8—21no—
308C19×C22⋊Q8—21no—
309C19×C22⋊Q8—21no—
310C19×C22⋊Q8—21no—
311C19×C22⋊Q8—21no—
312C19×C22⋊Q8—21no—
313C19×C22⋊Q8C2311yescharacteristic
314C19×C22⋊Q8C2311yescharacteristic
315C19×C22⋊Q8C2311yescharacteristic
316C19×C22⋊Q8C2311yescharacteristic
317C19×C22⋊Q8C2311yescharacteristic
318C19×C22⋊Q8C2311yescharacteristic
319C19×C22⋊Q8C2311yescharacteristic
320C19×C22⋊Q8C2311yescharacteristic
321C19×C22⋊Q8C2311yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×C22⋊Q8C2311yescharacteristic
324C19×C22⋊Q8C2311yescharacteristic
325C19×C22⋊Q8C2311yescharacteristic
326C19×C22⋊Q8C2311yescharacteristic
327C19×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
340C19×#121C2311yescharacteristic
341C19×#121C2311yescharacteristic
342C19×#121C2311yescharacteristic
343C19×#121C2311yescharacteristic
344C19×#121C2311yescharacteristic
345C19×#121C2311yescharacteristic
346C19×#121C2311yescharacteristic
347C19×#121C2311yescharacteristic
348C19×#120—21no—
349C19×#120—21no—
350C19×#120—21no—
351C19×#120—21no—
352C19×#120—21no—
353C19×#120—21no—
354C4×Q8×C19—21no—
355C4×Q8×C19—21no—
356C4×Q8×C19C2311yescharacteristic
357C4×Q8×C19C2311yescharacteristic
358C4×Q8×C19C2311yescharacteristic
359C4×Q8×C19C2311yescharacteristic
360C4×Q8×C19C2311yescharacteristic
361C4×D4×C19—21no—
362C4×D4×C19—21no—
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×C19D411yescharacteristic
380C4×D4×C19D411yescharacteristic
381C4×D4×C19D411yescharacteristic
382C4×D4×C19D411yescharacteristic
383C4×D4×C19C2311yescharacteristic
384C4×D4×C19C2311yescharacteristic
385C4×D4×C19C2311yescharacteristic
386C4×D4×C19C2311yescharacteristic
387C4×D4×C19C2311yescharacteristic
388C4×D4×C19C2311yescharacteristic
389C4×D4×C19C2311yescharacteristic
390C19×#117—21no—
391C19×#117—21no—
392C19×#117—21no—
393C19×#117—21no—
394C19×#117—21no—
395C19×#117—21no—
396C19×#117—21no—
397C19×#117—21no—
398C19×#117C2311yescharacteristic
399C19×#117C2311yescharacteristic
400C19×#117C2311yescharacteristic
401C19×#117C2311yescharacteristic
402C2×C4⋊C4×C19—21no—
403C2×C4⋊C4×C19—21no—
404C2×C4⋊C4×C19—21no—
405C2×C4⋊C4×C19—21no—
406C2×C4⋊C4×C19D411yescharacteristic
407C2×C4⋊C4×C19C2311yescharacteristic
408C2×C4⋊C4×C19C2311yescharacteristic
409C2×C4⋊C4×C19C2311yescharacteristic
410C2×C4⋊C4×C19C2311yescharacteristic
411C2×C22⋊C4×C19—21no—
412C2×C22⋊C4×C19—21no—
413C2×C22⋊C4×C19—21no—
414C2×C22⋊C4×C19—21no—
415C2×C22⋊C4×C19—21no—
416C2×C22⋊C4×C19—21no—
417C2×C22⋊C4×C19D411yescharacteristic
418C2×C22⋊C4×C19D411yescharacteristic
419C2×C42×C19C2311yescharacteristic
420C19×#107C2311yescharacteristic
421C19×#107C2311yescharacteristic
422C19×#107C2311yescharacteristic
423C19×#107C2311yescharacteristic
424C19×#107C2311yescharacteristic
425C19×#107C2311yescharacteristic
426C19×#107C2311yescharacteristic
427C19×#107C2311yescharacteristic
428C19×#106C2311yescharacteristic
429C19×#106C2311yescharacteristic
430C19×#106C2311yescharacteristic
431C19×#106C2311yescharacteristic
432C19×#106C2311yescharacteristic
433C19×#106C2311yescharacteristic
434C19×#106C2311yescharacteristic
435C19×#106C2311yescharacteristic
436C19×C4⋊C8C2311yescharacteristic
437C19×C4⋊C8C2311yescharacteristic
438C19×C4⋊C8C2311yescharacteristic
439C19×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
453C19×#103C2311yescharacteristic
454C19×#103C2311yescharacteristic
455C19×#103C2311yescharacteristic
456C19×#103C2311yescharacteristic
457C19×#103C2311yescharacteristic
458C19×#103C2311yescharacteristic
459C19×#103C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#102C2311yescharacteristic
467C19×#102C2311yescharacteristic
468C19×#102C2311yescharacteristic
469C19×#102C2311yescharacteristic
470C19×#102C2311yescharacteristic
471C19×#102C2311yescharacteristic
472C19×C22⋊C8C2311yescharacteristic
473C19×C22⋊C8C2311yescharacteristic
474C19×C22⋊C8C2311yescharacteristic
475C19×C22⋊C8C2311yescharacteristic
476C19×C22⋊C8C2311yescharacteristic
477C19×C22⋊C8C2311yescharacteristic
478C19×C22⋊C8C2311yescharacteristic
479C19×C22⋊C8C2311yescharacteristic
480C19×#97C2311yescharacteristic
481C19×#97C2311yescharacteristic
482C4×C8×C19C2311yescharacteristic
483C4×C8×C19C2311yescharacteristic
484C24×C19—21no—
485C24×C19C2×D411yescharacteristic
486C24×C19C2×D411yescharacteristic
487#41×C19—41no—
488#41×C19—41no—
489#41×C19—41no—
490#41×C19—41no—
491#41×C19—41no—
492#41×C19—41no—
493#41×C19—41no—
494#41×C19—41no—
495#41×C19—44no—
496C2×Q8×C19—21no—
497C2×Q8×C19—21no—
498C2×Q8×C19—21no—
499C2×Q8×C19—21no—
500C2×Q8×C19—41no—
501C2×Q8×C19—41no—
502C2×Q8×C19—41no—
503C2×Q8×C19—41no—
504C2×Q8×C19—41no—
505C2×Q8×C19—41no—
506C2×Q8×C19C2411yescharacteristic
507C2×Q8×C19C2411yescharacteristic
508C2×Q8×C19C2411yescharacteristic
509C2×Q8×C19C2411yescharacteristic
510C2×Q8×C19C2411yescharacteristic
511C2×D4×C19—21no—
512C2×D4×C19—21no—
513C2×D4×C19—21no—
514C2×D4×C19—21no—
515C2×D4×C19—21no—
516C2×D4×C19—21no—
517C2×D4×C19—21no—
518C2×D4×C19—21no—
519C2×D4×C19—21no—
520C2×D4×C19—21no—
521C2×D4×C19—21no—
522C2×D4×C19—21no—
523C2×D4×C19—21no—
524C2×D4×C19—21no—
525C2×D4×C19—41no—
526C2×D4×C19—41no—
527C2×D4×C19—42no—
528C2×D4×C19—44no—
529C2×D4×C19C2×D411yescharacteristic
530C2×D4×C19C2×D411yescharacteristic
531C2×D4×C19C2×D411yescharacteristic
532C2×D4×C19C2×D411yescharacteristic
533C2×D4×C19C2411yescharacteristic
534C2×D4×C19C2411yescharacteristic
535C2×D4×C19C2411yescharacteristic
536C22×C4×C19—21no—
537C22×C4×C19—21no—
538C22×C4×C19—21no—
539C22×C4×C19—21no—
540C22×C4×C19—21no—
541C22×C4×C19—21no—
542C22×C4×C19—21no—
543C22×C4×C19—21no—
544C22×C4×C19—21no—
545C22×C4×C19—21no—
546C22×C4×C19—21no—
547C22×C4×C19—21no—
548C22×C4×C19—21no—
549C22×C4×C19—21no—
550C22×C4×C19—41no—
551C22×C4×C19—41no—
552C22×C4×C19—41no—
553C22×C4×C19—41no—
554C22×C4×C19C2×D411yescharacteristic
555C22×C4×C19C2×D411yescharacteristic
556C22×C4×C19C2×D411yescharacteristic
557C22×C4×C19C2×D411yescharacteristic
558C22×C4×C19C2×D411yescharacteristic
559C22×C4×C19C2×D411yescharacteristic
560C22×C4×C19C2×D411yescharacteristic
561C22×C4×C19C2×D411yescharacteristic
562C22×C4×C19C2411yescharacteristic
563C22×C4×C19C2411yescharacteristic
564C22×C4×C19C2411yescharacteristic
565C22×C4×C19C2411yescharacteristic
566C22×C4×C19C2411yescharacteristic
567Q16×C19—22no—
568Q16×C19—22no—
569Q16×C19—41no—
570Q16×C19—41no—
571Q16×C19—41no—
572Q16×C19—41no—
573SD16×C19—22no—
574SD16×C19—41no—
575SD16×C19—41no—
576SD16×C19—41no—
577SD16×C19—41no—
578SD16×C19—41no—
579SD16×C19—41no—
580SD16×C19—41no—
581D8×C19—22no—
582D8×C19—41no—
583M16×C19—22no—
584M16×C19—22no—
585M16×C19—22no—
586M16×C19—41no—
587M16×C19—41no—
588M16×C19—41no—
589M16×C19—41no—
590M16×C19—41no—
591C2×C8×C19—22no—
592C2×C8×C19—22no—
593C2×C8×C19—41no—
594C2×C8×C19—41no—
595C2×C8×C19C2411yescharacteristic
596C2×C8×C19C2411yescharacteristic
597C2×C8×C19C2411yescharacteristic
598C2×C8×C19C2411yescharacteristic
599C2×C8×C19C2411yescharacteristic
600C2×C8×C19C2411yescharacteristic
601C2×C8×C19C2411yescharacteristic
602C2×C8×C19C2411yescharacteristic
603C4⋊C4×C19—21no—
604C4⋊C4×C19—21no—
605C4⋊C4×C19—21no—
606C4⋊C4×C19—21no—
607C4⋊C4×C19—21no—
608C4⋊C4×C19—21no—
609C4⋊C4×C19—21no—
610C4⋊C4×C19—21no—
611C4⋊C4×C19—21no—
612C4⋊C4×C19—21no—
613C4⋊C4×C19—21no—
614C4⋊C4×C19—21no—
615C4⋊C4×C19—21no—
616C4⋊C4×C19—21no—
617C4⋊C4×C19—21no—
618C4⋊C4×C19—21no—
619C4⋊C4×C19—21no—
620C4⋊C4×C19—21no—
621C4⋊C4×C19—21no—
622C4⋊C4×C19—21no—
623C4⋊C4×C19—21no—
624C4⋊C4×C19—21no—
625C4⋊C4×C19—21no—
626C4⋊C4×C19—21no—
627C4⋊C4×C19—21no—
628C4⋊C4×C19—21no—
629C4⋊C4×C19—21no—
630C4⋊C4×C19—21no—
631C4⋊C4×C19—21no—
632C4⋊C4×C19—21no—
633C4⋊C4×C19—21no—
634C4⋊C4×C19—21no—
635C4⋊C4×C19—21no—
636C4⋊C4×C19C2×D411yescharacteristic
637C4⋊C4×C19C2×D411yescharacteristic
638C4⋊C4×C19C2×D411yescharacteristic
639C4⋊C4×C19C2×D411yescharacteristic
640C4⋊C4×C19C2411yescharacteristic
641C4⋊C4×C19C2411yescharacteristic
642C4⋊C4×C19C2411yescharacteristic
643C4⋊C4×C19C2411yescharacteristic
644C4⋊C4×C19C2411yescharacteristic
645C4⋊C4×C19C2411yescharacteristic
646C4⋊C4×C19C2411yescharacteristic
647C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
661C22⋊C4×C19—21no—
662C22⋊C4×C19—21no—
663C22⋊C4×C19—21no—
664C22⋊C4×C19—21no—
665C22⋊C4×C19—21no—
666C22⋊C4×C19—21no—
667C22⋊C4×C19—21no—
668C22⋊C4×C19—21no—
669C22⋊C4×C19—21no—
670C22⋊C4×C19—21no—
671C22⋊C4×C19—21no—
672C22⋊C4×C19—21no—
673C22⋊C4×C19—21no—
674C22⋊C4×C19—21no—
675C22⋊C4×C19—21no—
676C22⋊C4×C19—21no—
677C22⋊C4×C19—21no—
678C22⋊C4×C19—21no—
679C22⋊C4×C19—21no—
680C22⋊C4×C19—21no—
681C22⋊C4×C19—21no—
682C22⋊C4×C19—21no—
683C22⋊C4×C19—21no—
684C22⋊C4×C19—21no—
685C22⋊C4×C19C2×D411yescharacteristic
686C22⋊C4×C19C2×D411yescharacteristic
687C22⋊C4×C19C2×D411yescharacteristic
688C22⋊C4×C19C2×D411yescharacteristic
689C22⋊C4×C19C2×D411yescharacteristic
690C22⋊C4×C19C2×D411yescharacteristic
691C22⋊C4×C19C2×D411yescharacteristic
692C22⋊C4×C19C2×D411yescharacteristic
693C42×C19—21no—
694C42×C19—21no—
695C42×C19—21no—
696C42×C19—21no—
697C42×C19—21no—
698C42×C19—21no—
699C42×C19—21no—
700C42×C19—21no—
701C42×C19—21no—
702C42×C19C2×D411yescharacteristic
703C42×C19C2×D411yescharacteristic
704C42×C19C2411yescharacteristic
705C42×C19C2411yescharacteristic
706#62302C1911yesmaximal, characteristic, direct product factor, Sylow
707C23×C19—22no—
708C23×C19—21no—
709C23×C19—21no—
710C23×C19—21no—
711C23×C19—41no—
712C23×C19—41no—
713C23×C19—41no—
714C23×C19—41no—
715C23×C19—41no—
716C23×C19—42no—
717C23×C19—81no—
718C23×C19—81no—
719C23×C19C22×D411yescharacteristic
720C23×C19C22×D411yescharacteristic
721C23×C19C22×D411yescharacteristic
722C23×C19C22×D411yescharacteristic
723C23×C19C22×D411yescharacteristic
724Q8×C19—21no—
725Q8×C19—21no—
726Q8×C19—21no—
727Q8×C19—21no—
728Q8×C19—21no—
729Q8×C19—21no—
730Q8×C19—21no—
731Q8×C19—21no—
732Q8×C19—21no—
733Q8×C19—21no—
734Q8×C19—42no—
735Q8×C19—81no—
736Q8×C19—81no—
737Q8×C19—81no—
738D4×C19—22no—
739D4×C19—22no—
740D4×C19—21no—
741D4×C19—21no—
742D4×C19—21no—
743D4×C19—21no—
744D4×C19—21no—
745D4×C19—21no—
746D4×C19—41no—
747D4×C19—41no—
748D4×C19—42no—
749D4×C19—42no—
750D4×C19—42no—
751D4×C19—42no—
752D4×C19—42no—
753D4×C19—42no—
754D4×C19—42no—
755D4×C19—81no—
756D4×C19—81no—
757D4×C19—81no—
758D4×C19—81no—
759D4×C19—81no—
760D4×C19—81no—
761D4×C19—81no—
762C2×C4×C19—21no—
763C2×C4×C19—21no—
764C2×C4×C19—21no—
765C2×C4×C19—21no—
766C2×C4×C19—21no—
767C2×C4×C19—21no—
768C2×C4×C19—21no—
769C2×C4×C19—21no—
770C2×C4×C19—21no—
771C2×C4×C19—21no—
772C2×C4×C19—21no—
773C2×C4×C19—21no—
774C2×C4×C19—21no—
775C2×C4×C19—21no—
776C2×C4×C19—21no—
777C2×C4×C19—21no—
778C2×C4×C19—21no—
779C2×C4×C19—21no—
780C2×C4×C19—21no—
781C2×C4×C19—21no—
782C2×C4×C19—21no—
783C2×C4×C19—21no—
784C2×C4×C19—21no—
785C2×C4×C19—41no—
786C2×C4×C19—41no—
787C2×C4×C19—41no—
788C2×C4×C19—41no—
789C2×C4×C19—41no—
790C2×C4×C19—41no—
791C2×C4×C19—41no—
792C2×C4×C19—41no—
793C2×C4×C19—42no—
794C2×C4×C19—42no—
795C2×C4×C19—42no—
796C2×C4×C19—42no—
797C2×C4×C19—81no—
798C2×C4×C19—81no—
799C2×C4×C19—81no—
800C2×C4×C19—81no—
801C2×C4×C19—81no—
802C2×C4×C19—81no—
803C2×C4×C19—81no—
804C2×C4×C19—81no—
805C2×C4×C19—81no—
806C2×C4×C19—81no—
807C2×C4×C19C22×D411yescharacteristic
808C2×C4×C19C22×D411yescharacteristic
809C2×C4×C19C22×D411yescharacteristic
810C2×C4×C19C22×D411yescharacteristic
811C2×C4×C19C22×D411yescharacteristic
812C2×C4×C19C22×D411yescharacteristic
813C2×C4×C19C22×D411yescharacteristic
814C2×C4×C19C22×D411yescharacteristic
815C2×C4×C19C22×D411yescharacteristic
816C2×C4×C19C2511yescharacteristic
817C8×C19—21no—
818C8×C19—21no—
819C8×C19—21no—
820C8×C19—21no—
821C8×C19—21no—
822C8×C19—21no—
823C8×C19—21no—
824C8×C19H(5,𝔽2)12yes—
825#3520C2×C1911yescharacteristic, complemented
826#3505C2×C1911yescharacteristic, complemented
827#3352C2×C1911yescharacteristic, complemented
828#3349C2×C1911yescharacteristic, complemented
829#3345C2×C1911yescharacteristic, complemented
830#3337C2×C1911yescharacteristic, complemented
831#3327C2×C1911yescharacteristic, complemented
832#3323C2×C1911yescharacteristic, complemented
833#3320C2×C1911yescharacteristic, complemented
834#3315C2×C1911yescharacteristic, complemented
835#3311C2×C1911yescharacteristic, complemented
836#3308C2×C1911yescharacteristic, complemented
837#3301C2×C1911yescharacteristic, complemented
838#3300C2×C1911yescharacteristic, complemented
839#3285C2×C1911yescharacteristic, complemented
840#3275C2×C1911yescharacteristic, complemented
841#3270C2×C1911yescharacteristic, complemented
842#3267C2×C1911yescharacteristic, complemented
843#3256C2×C1911yescharacteristic, complemented
844#3252C2×C1911yescharacteristic, complemented
845#3197C2×C1911yescharacteristic, complemented
846#3196C2×C1911yescharacteristic, complemented
847#3196C2×C1911yescharacteristic, complemented
848#3193C2×C1911yescharacteristic, complemented
849#3183C2×C1911yescharacteristic, complemented
850#3172C2×C1911yescharacteristic, complemented
851#3056C2×C1911yescharacteristic, complemented
852#3055C2×C1911yescharacteristic, complemented
853#3054C2×C1911yescharacteristic, complemented
854C2×#470C2×C1911yescharacteristic, complemented
855D4×M16C2×C1911yescharacteristic, complemented
856C22×C19—21no—
857C22×C19—21no—
858C22×C19—21no—
859C22×C19—21no—
860C22×C19—21no—
861C22×C19—21no—
862C22×C19—21no—
863C22×C19—21no—
864C22×C19—21no—
865C22×C19—21no—
866C22×C19—21no—
867C22×C19—21no—
868C22×C19—21no—
869C22×C19—21no—
870C22×C19—41no—
871C22×C19—41no—
872C22×C19—41no—
873C22×C19—41no—
874C22×C19—41no—
875C22×C19—41no—
876C22×C19—41no—
877C22×C19—41no—
878C22×C19—41no—
879C22×C19—82no—
880C22×C19—82no—
881C22×C19—162no—
882C22×C19#57512yes—
883C22×C19C23×D411yescharacteristic
884C4×C19—21no—
885C4×C19—21no—
886C4×C19—21no—
887C4×C19—21no—
888C4×C19—21no—
889C4×C19—21no—
890C4×C19—21no—
891C4×C19—21no—
892C4×C19—21no—
893C4×C19—41no—
894C4×C19—41no—
895C4×C19—41no—
896C4×C19—41no—
897C4×C19—41no—
898C4×C19—41no—
899C4×C19—41no—
900C4×C19—41no—
901C4×C19—41no—
902C4×C19—41no—
903C4×C19—41no—
904C4×C19—41no—
905C4×C19—41no—
906C4×C19C2×H(5,𝔽2)11yescharacteristic
907C4×C19#58511yescharacteristic
908C2×#137C22×C1911yescharacteristic, complemented
909C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
910C2×#135C22×C1911yescharacteristic, complemented
911C22×Q16C22×C1911yescharacteristic, complemented
912C22×M16C22×C1911yescharacteristic
913C22×M16C22×C1911yescharacteristic, complemented
914#556C22×C1911yescharacteristic
915#554—21no—
916#553—21no—
917#553—21no—
918#553C22×C1911yescharacteristic
919#553C22×C1911yescharacteristic
920#552C22×C1911yescharacteristic
921#552C22×C1911yescharacteristic
922#552C22×C1911yescharacteristic
923#552C22×C1911yescharacteristic, complemented
924#551—21no—
925#551—21no—
926#551—21no—
927#551—21no—
928D4×Q8C22×C1911yescharacteristic, complemented
929#548C22×C1911yescharacteristic
930#548C22×C1911yescharacteristic
931#548C22×C1911yescharacteristic
932#548C22×C1911yescharacteristic, complemented
933#547C22×C1911yescharacteristic
934#547C22×C1911yescharacteristic, complemented
935#546—21no—
936#546C22×C1911yescharacteristic
937#546C22×C1911yescharacteristic
938#542—21no—
939#539—21no—
940#539—21no—
941#539—21no—
942#538—21no—
943#534—21no—
944#533C22×C1911yescharacteristic, complemented
945#529C22×C1911yescharacteristic
946#529C22×C1911yescharacteristic
947#529C22×C1911yescharacteristic, complemented
948#525C22×C1911yescharacteristic
949#525C22×C1911yescharacteristic
950#525C22×C1911yescharacteristic
951#525C22×C1911yescharacteristic, complemented
952C2×C22⋊Q8C22×C1911yescharacteristic
953C2×C22⋊Q8C22×C1911yescharacteristic
954C2×C22⋊Q8C22×C1911yescharacteristic, complemented
955C2×#121C22×C1911yescharacteristic
956#520—21no—
957#518—21no—
958C2×C4×D4C22×C1911yescharacteristic
959#501C22×C1911yescharacteristic, complemented
960#499C22×C1911yescharacteristic, complemented
961#497C22×C1911yescharacteristic, complemented
962#495C22×C1911yescharacteristic, complemented
963#491C22×C1911yescharacteristic, complemented
964#489C22×C1911yescharacteristic, complemented
965#488C22×C1911yescharacteristic, complemented
966#488C22×C1911yescharacteristic, complemented
967#485C22×C1911yescharacteristic, complemented
968#485C22×C1911yescharacteristic, complemented
969#485C22×C1911yescharacteristic, complemented
970#485C22×C1911yescharacteristic, complemented
971#485C22×C1911yescharacteristic, complemented
972#485C22×C1911yescharacteristic, complemented
973#484C22×C1911yescharacteristic, complemented
974#484C22×C1911yescharacteristic, complemented
975#484C22×C1911yescharacteristic, complemented
976#484C22×C1911yescharacteristic, complemented
977#482C22×C1911yescharacteristic, complemented
978#482C22×C1911yescharacteristic, complemented
979#481C22×C1911yescharacteristic, complemented
980#481C22×C1911yescharacteristic, complemented
981#480C22×C1911yescharacteristic, complemented
982#480C22×C1911yescharacteristic, complemented
983#479C22×C1911yescharacteristic, complemented
984#479C22×C1911yescharacteristic, complemented
985#479C22×C1911yescharacteristic, complemented
986#479C22×C1911yescharacteristic, complemented
987#478C22×C1911yescharacteristic, complemented
988#478C22×C1911yescharacteristic, complemented
989#477C22×C1911yescharacteristic, complemented
990#476C22×C1911yescharacteristic, complemented
991#470C22×C1911yescharacteristic, complemented
992#470C22×C1911yescharacteristic, complemented
993#470C22×C1911yescharacteristic, complemented
994#470C22×C1911yescharacteristic, complemented
995#470C22×C1911yescharacteristic, complemented
996#470C22×C1911yescharacteristic, complemented
997#470C22×C1911yescharacteristic, complemented
998#470C22×C1911yescharacteristic, complemented
999#470C22×C1911yescharacteristic, complemented
1000#470C22×C1911yescharacteristic, complemented
1001#470C22×C1911yescharacteristic, complemented
1002#469C22×C1911yescharacteristic
1003#469C22×C1911yescharacteristic
1004#469C22×C1911yescharacteristic, complemented
1005#468C22×C1911yescharacteristic
1006#468C22×C1911yescharacteristic
1007#468C22×C1911yescharacteristic
1008#468C22×C1911yescharacteristic
1009#468C22×C1911yescharacteristic
1010#468C22×C1911yescharacteristic
1011#468C22×C1911yescharacteristic, complemented
1012#468C22×C1911yescharacteristic, complemented
1013#468C22×C1911yescharacteristic, complemented
1014#468C22×C1911yescharacteristic, complemented
1015#467C22×C1911yescharacteristic, complemented
1016#467C22×C1911yescharacteristic, complemented
1017#466C22×C1911yescharacteristic, complemented
1018#466C22×C1911yescharacteristic, complemented
1019#465C22×C1911yescharacteristic, complemented
1020#465C22×C1911yescharacteristic, complemented
1021#465C22×C1911yescharacteristic, complemented
1022#465C22×C1911yescharacteristic, complemented
1023#464C22×C1911yescharacteristic, complemented
1024#464C22×C1911yescharacteristic, complemented
1025#464C22×C1911yescharacteristic, complemented
1026#464C22×C1911yescharacteristic, complemented
1027#463C22×C1911yescharacteristic, complemented
1028#463C22×C1911yescharacteristic, complemented
1029#462C22×C1911yescharacteristic, complemented
1030#461C22×C1911yescharacteristic, complemented
1031#452C22×C1911yescharacteristic, complemented
1032#452C22×C1911yescharacteristic, complemented
1033#452C22×C1911yescharacteristic, complemented
1034#452C22×C1911yescharacteristic, complemented
1035#452C22×C1911yescharacteristic, complemented
1036#452C22×C1911yescharacteristic, complemented
1037#451C22×C1911yescharacteristic, complemented
1038#451C22×C1911yescharacteristic, complemented
1039#450C22×C1911yescharacteristic, complemented
1040#450C22×C1911yescharacteristic, complemented
1041#449C22×C1911yescharacteristic, complemented
1042#449C22×C1911yescharacteristic, complemented
1043#448C22×C1911yescharacteristic, complemented
1044#448C22×C1911yescharacteristic, complemented
1045#448C22×C1911yescharacteristic, complemented
1046#448C22×C1911yescharacteristic, complemented
1047#442C22×C1911yescharacteristic, complemented
1048#441C22×C1911yescharacteristic, complemented
1049#440C22×C1911yescharacteristic, complemented
1050#440C22×C1911yescharacteristic, complemented
1051C4×Q16C22×C1911yescharacteristic, complemented
1052C4×Q16C22×C1911yescharacteristic, complemented
1053C4×SD16C22×C1911yescharacteristic, complemented
1054C4×SD16C22×C1911yescharacteristic, complemented
1055#436C22×C1911yescharacteristic
1056#436C22×C1911yescharacteristic
1057#435C22×C1911yescharacteristic
1058#435C22×C1911yescharacteristic
1059#435C22×C1911yescharacteristic, complemented
1060#435C22×C1911yescharacteristic, complemented
1061C8×D4C22×C1911yescharacteristic, complemented
1062C8×D4C22×C1911yescharacteristic, complemented
1063#428C22×C1911yescharacteristic, complemented
1064#428C22×C1911yescharacteristic, complemented
1065#427C22×C1911yescharacteristic, complemented
1066C2×#106C22×C1911yescharacteristic, complemented
1067#423C22×C1911yescharacteristic, complemented
1068#419C22×C1911yescharacteristic, complemented
1069#418C22×C1911yescharacteristic, complemented
1070#417C22×C1911yescharacteristic, complemented
1071#417C22×C1911yescharacteristic, complemented
1072#416C22×C1911yescharacteristic, complemented
1073#416C22×C1911yescharacteristic, complemented
1074C2×#103C22×C1911yescharacteristic, complemented
1075C2×#103C22×C1911yescharacteristic, complemented
1076#407C22×C1911yescharacteristic
1077#407C22×C1911yescharacteristic, complemented
1078C4×M16C22×C1911yescharacteristic, complemented
1079C2×C19—22no—
1080C2×C19—41no—
1081C2×C19—41no—
1082C2×C19—41no—
1083C2×C19—41no—
1084C2×C19—81no—
1085C2×C19—81no—
1086C2×C19—81no—
1087C2×C19#349611yescharacteristic
1088C2×C19C2×#57511yescharacteristic
1089C2×C19#358611yescharacteristic
1090C2×#41—21no—
1091C2×#41C23×C1911yescharacteristic
1092C2×#41C23×C1911yescharacteristic
1093C2×#41C23×C1911yescharacteristic
1094C2×#41C23×C1911yescharacteristic
1095C22×Q8C23×C1911yescharacteristic
1096C22×Q8C23×C1911yescharacteristic
1097C22×Q8C23×C1911yescharacteristic
1098C22×D4—21no—
1099C22×D4D4×C1911yescharacteristic
1100C22×D4C23×C1911yescharacteristic
1101C23×C4C23×C1911yescharacteristic
1102C23×C4C23×C1911yescharacteristic
1103#137—42no—
1104AGL(1,ℤ/8)—42no—
1105#135—42no—
1106C2×Q16—42no—
1107C2×Q16C23×C1911yescharacteristic
1108C2×Q16C23×C1911yescharacteristic
1109C2×Q16C23×C1911yescharacteristic
1110C2×Q16C23×C1911yescharacteristic
1111C2×Q16C23×C1911yescharacteristic
1112C2×Q16C23×C1911yescharacteristic
1113C2×SD16C23×C1911yescharacteristic
1114C2×SD16C23×C1911yescharacteristic
1115C2×SD16C23×C1911yescharacteristic
1116C2×SD16C23×C1911yescharacteristic
1117C2×SD16C23×C1911yescharacteristic
1118C2×SD16C23×C1911yescharacteristic
1119C2×SD16C23×C1911yescharacteristic
1120C2×SD16C23×C1911yescharacteristic
1121C2×D8C23×C1911yescharacteristic
1122C2×D8C23×C1911yescharacteristic
1123C2×M16—42no—
1124C2×M16—42no—
1125C2×M16C23×C1911yescharacteristic
1126C2×M16C23×C1911yescharacteristic
1127C2×M16C23×C1911yescharacteristic
1128C2×M16C23×C1911yescharacteristic
1129C2×M16C23×C1911yescharacteristic
1130C2×M16C23×C1911yescharacteristic
1131C2×M16C23×C1911yescharacteristic
1132C2×M16C23×C1911yescharacteristic
1133C22×C8C23×C1911yescharacteristic
1134C22×C8C23×C1911yescharacteristic
1135C22×C8C23×C1911yescharacteristic
1136C22×C8C23×C1911yescharacteristic
1137C4⋊Q8—21no—
1138C4⋊Q8C23×C1911yescharacteristic
1139C4⋊Q8C23×C1911yescharacteristic
1140#126—21no—
1141#126—21no—
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#125—21no—
1152#125—21no—
1153#125—21no—
1154#125—21no—
1155#125—21no—
1156#125C23×C1911yescharacteristic
1157#125C23×C1911yescharacteristic
1158#125C23×C1911yescharacteristic
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124C23×C1911yescharacteristic
1165#124C23×C1911yescharacteristic
1166#124C23×C1911yescharacteristic
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8C23×C1911yescharacteristic
1201C22⋊Q8C23×C1911yescharacteristic
1202C22⋊Q8C23×C1911yescharacteristic
1203C22⋊Q8C23×C1911yescharacteristic
1204C22⋊Q8C23×C1911yescharacteristic
1205C22⋊Q8C23×C1911yescharacteristic
1206C22⋊Q8C23×C1911yescharacteristic
1207C22⋊Q8C23×C1911yescharacteristic
1208C22⋊Q8C23×C1911yescharacteristic
1209C22⋊Q8C23×C1911yescharacteristic
1210C22⋊Q8C23×C1911yescharacteristic
1211C22⋊Q8C23×C1911yescharacteristic
1212C22⋊Q8C23×C1911yescharacteristic
1213C22⋊Q8C23×C1911yescharacteristic
1214C22⋊Q8C23×C1911yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121C23×C1911yescharacteristic
1227#121C23×C1911yescharacteristic
1228#121C23×C1911yescharacteristic
1229#121C23×C1911yescharacteristic
1230#121C23×C1911yescharacteristic
1231#121C23×C1911yescharacteristic
1232#121C23×C1911yescharacteristic
1233#121C23×C1911yescharacteristic
1234#121C23×C1911yescharacteristic
1235#120—21no—
1236#120—21no—
1237#120—21no—
1238#120—21no—
1239#120—21no—
1240#120—21no—
1241C4×Q8—21no—
1242C4×Q8—21no—
1243C4×Q8C23×C1911yescharacteristic
1244C4×Q8C23×C1911yescharacteristic
1245C4×Q8C23×C1911yescharacteristic
1246C4×Q8C23×C1911yescharacteristic
1247C4×Q8C23×C1911yescharacteristic
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4D4×C1911yescharacteristic
1267C4×D4D4×C1911yescharacteristic
1268C4×D4D4×C1911yescharacteristic
1269C4×D4D4×C1911yescharacteristic
1270C4×D4C23×C1911yescharacteristic
1271C4×D4C23×C1911yescharacteristic
1272C4×D4C23×C1911yescharacteristic
1273C4×D4C23×C1911yescharacteristic
1274C4×D4C23×C1911yescharacteristic
1275C4×D4C23×C1911yescharacteristic
1276C4×D4C23×C1911yescharacteristic
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117—21no—
1281#117—21no—
1282#117—21no—
1283#117—21no—
1284#117—21no—
1285#117C23×C1911yescharacteristic
1286#117C23×C1911yescharacteristic
1287#117C23×C1911yescharacteristic
1288#117C23×C1911yescharacteristic
1289C2×C4⋊C4—21no—
1290C2×C4⋊C4—21no—
1291C2×C4⋊C4—21no—
1292C2×C4⋊C4—21no—
1293C2×C4⋊C4D4×C1911yescharacteristic
1294C2×C4⋊C4C23×C1911yescharacteristic
1295C2×C4⋊C4C23×C1911yescharacteristic
1296C2×C4⋊C4C23×C1911yescharacteristic
1297C2×C4⋊C4C23×C1911yescharacteristic
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4D4×C1911yescharacteristic
1305C2×C22⋊C4D4×C1911yescharacteristic
1306C2×C42C23×C1911yescharacteristic
1307#107C23×C1911yescharacteristic
1308#107C23×C1911yescharacteristic
1309#107C23×C1911yescharacteristic
1310#107C23×C1911yescharacteristic
1311#107C23×C1911yescharacteristic
1312#107C23×C1911yescharacteristic
1313#107C23×C1911yescharacteristic
1314#107C23×C1911yescharacteristic
1315#106C23×C1911yescharacteristic
1316#106C23×C1911yescharacteristic
1317#106C23×C1911yescharacteristic
1318#106C23×C1911yescharacteristic
1319#106C23×C1911yescharacteristic
1320#106C23×C1911yescharacteristic
1321#106C23×C1911yescharacteristic
1322#106C23×C1911yescharacteristic
1323C4⋊C8C23×C1911yescharacteristic
1324C4⋊C8C23×C1911yescharacteristic
1325C4⋊C8C23×C1911yescharacteristic
1326C4⋊C8C23×C1911yescharacteristic
1327#103C23×C1911yescharacteristic
1328#103C23×C1911yescharacteristic
1329#103C23×C1911yescharacteristic
1330#103C23×C1911yescharacteristic
1331#103C23×C1911yescharacteristic
1332#103C23×C1911yescharacteristic
1333#103C23×C1911yescharacteristic
1334#103C23×C1911yescharacteristic
1335#103C23×C1911yescharacteristic
1336#103C23×C1911yescharacteristic
1337#103C23×C1911yescharacteristic
1338#103C23×C1911yescharacteristic
1339#103C23×C1911yescharacteristic
1340#103C23×C1911yescharacteristic
1341#103C23×C1911yescharacteristic
1342#103C23×C1911yescharacteristic
1343#103C23×C1911yescharacteristic
1344#103C23×C1911yescharacteristic
1345#103C23×C1911yescharacteristic
1346#103C23×C1911yescharacteristic
1347#102C23×C1911yescharacteristic
1348#102C23×C1911yescharacteristic
1349#102C23×C1911yescharacteristic
1350#102C23×C1911yescharacteristic
1351#102C23×C1911yescharacteristic
1352#102C23×C1911yescharacteristic
1353#102C23×C1911yescharacteristic
1354#102C23×C1911yescharacteristic
1355#102C23×C1911yescharacteristic
1356#102C23×C1911yescharacteristic
1357#102C23×C1911yescharacteristic
1358#102C23×C1911yescharacteristic
1359C22⋊C8C23×C1911yescharacteristic
1360C22⋊C8C23×C1911yescharacteristic
1361C22⋊C8C23×C1911yescharacteristic
1362C22⋊C8C23×C1911yescharacteristic
1363C22⋊C8C23×C1911yescharacteristic
1364C22⋊C8C23×C1911yescharacteristic
1365C22⋊C8C23×C1911yescharacteristic
1366C22⋊C8C23×C1911yescharacteristic
1367#97C23×C1911yescharacteristic
1368#97C23×C1911yescharacteristic
1369C4×C8C23×C1911yescharacteristic
1370C4×C8C23×C1911yescharacteristic
1371C19#6230211yescharacteristic, direct product factor, Sylow
1372C24—21no—
1373C24C2×D4×C1911yescharacteristic
1374C24C2×D4×C1911yescharacteristic
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—44no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8—41no—
1393C2×Q8—41no—
1394C2×Q8C24×C1911yescharacteristic
1395C2×Q8C24×C1911yescharacteristic
1396C2×Q8C24×C1911yescharacteristic
1397C2×Q8C24×C1911yescharacteristic
1398C2×Q8C24×C1911yescharacteristic
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4C2×D4×C1911yescharacteristic
1418C2×D4C2×D4×C1911yescharacteristic
1419C2×D4C2×D4×C1911yescharacteristic
1420C2×D4C2×D4×C1911yescharacteristic
1421C2×D4C24×C1911yescharacteristic
1422C2×D4C24×C1911yescharacteristic
1423C2×D4C24×C1911yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4C2×D4×C1911yescharacteristic
1443C22×C4C2×D4×C1911yescharacteristic
1444C22×C4C2×D4×C1911yescharacteristic
1445C22×C4C2×D4×C1911yescharacteristic
1446C22×C4C2×D4×C1911yescharacteristic
1447C22×C4C2×D4×C1911yescharacteristic
1448C22×C4C2×D4×C1911yescharacteristic
1449C22×C4C2×D4×C1911yescharacteristic
1450C22×C4C24×C1911yescharacteristic
1451C22×C4C24×C1911yescharacteristic
1452C22×C4C24×C1911yescharacteristic
1453C22×C4C24×C1911yescharacteristic
1454C22×C4C24×C1911yescharacteristic
1455Q16—22no—
1456Q16—22no—
1457Q16—41no—
1458Q16—41no—
1459Q16—41no—
1460Q16—41no—
1461SD16—22no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469D8—22no—
1470D8—41no—
1471M16—22no—
1472M16—22no—
1473M16—22no—
1474M16—41no—
1475M16—41no—
1476M16—41no—
1477M16—41no—
1478M16—41no—
1479C2×C8—22no—
1480C2×C8—22no—
1481C2×C8—41no—
1482C2×C8—41no—
1483C2×C8C24×C1911yescharacteristic
1484C2×C8C24×C1911yescharacteristic
1485C2×C8C24×C1911yescharacteristic
1486C2×C8C24×C1911yescharacteristic
1487C2×C8C24×C1911yescharacteristic
1488C2×C8C24×C1911yescharacteristic
1489C2×C8C24×C1911yescharacteristic
1490C2×C8C24×C1911yescharacteristic
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4C2×D4×C1911yescharacteristic
1525C4⋊C4C2×D4×C1911yescharacteristic
1526C4⋊C4C2×D4×C1911yescharacteristic
1527C4⋊C4C2×D4×C1911yescharacteristic
1528C4⋊C4C24×C1911yescharacteristic
1529C4⋊C4C24×C1911yescharacteristic
1530C4⋊C4C24×C1911yescharacteristic
1531C4⋊C4C24×C1911yescharacteristic
1532C4⋊C4C24×C1911yescharacteristic
1533C4⋊C4C24×C1911yescharacteristic
1534C4⋊C4C24×C1911yescharacteristic
1535C4⋊C4C24×C1911yescharacteristic
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4C2×D4×C1911yescharacteristic
1574C22⋊C4C2×D4×C1911yescharacteristic
1575C22⋊C4C2×D4×C1911yescharacteristic
1576C22⋊C4C2×D4×C1911yescharacteristic
1577C22⋊C4C2×D4×C1911yescharacteristic
1578C22⋊C4C2×D4×C1911yescharacteristic
1579C22⋊C4C2×D4×C1911yescharacteristic
1580C22⋊C4C2×D4×C1911yescharacteristic
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42C2×D4×C1911yescharacteristic
1591C42C2×D4×C1911yescharacteristic
1592C42C24×C1911yescharacteristic
1593C42C24×C1911yescharacteristic
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—42no—
1604C23—81no—
1605C23—81no—
1606C23C22×D4×C1911yescharacteristic
1607C23C22×D4×C1911yescharacteristic
1608C23C22×D4×C1911yescharacteristic
1609C23C22×D4×C1911yescharacteristic
1610C23C22×D4×C1911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—42no—
1622Q8—81no—
1623Q8—81no—
1624Q8—81no—
1625D4—22no—
1626D4—22no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—41no—
1634D4—41no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4C22×D4×C1911yescharacteristic
1695C2×C4C22×D4×C1911yescharacteristic
1696C2×C4C22×D4×C1911yescharacteristic
1697C2×C4C22×D4×C1911yescharacteristic
1698C2×C4C22×D4×C1911yescharacteristic
1699C2×C4C22×D4×C1911yescharacteristic
1700C2×C4C22×D4×C1911yescharacteristic
1701C2×C4C22×D4×C1911yescharacteristic
1702C2×C4C22×D4×C1911yescharacteristic
1703C2×C4C25×C1911yescharacteristic
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C8—21no—
1710C8—21no—
1711C8C19×H(5,𝔽2)12yes—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—82no—
1736C22—82no—
1737C22—162no—
1738C22C19×#57512yes—
1739C22C23×D4×C1911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4C2×C19×H(5,𝔽2)11yescharacteristic
1763C4C19×#58511yescharacteristic
1764C2—22no—
1765C2—41no—
1766C2—41no—
1767C2—41no—
1768C2—41no—
1769C2—81no—
1770C2—81no—
1771C2—81no—
1772C2C19×#349611yescharacteristic
1773C2C2×C19×#57511yescharacteristic
1774C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C2×C4×D4×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3520C2semidirect
2. C19×#3505C2semidirect
3. C19×#3352C2semidirect
4. C19×#3349C2semidirect
5. C19×#3345C2semidirect
6. C19×#3337C2semidirect
7. C19×#3327C2semidirect
8. C19×#3323C2semidirect
9. C19×#3320C2semidirect
10. C19×#3315C2semidirect
11. C19×#3311C2semidirect
12. C19×#3308C2semidirect
13. C19×#3301C2semidirect
14. C19×#3300C2semidirect
15. C19×#3285C2semidirect
16. C19×#3275C2semidirect
17. C19×#3270C2semidirect
18. C19×#3267C2semidirect
19. C19×#3256C2semidirect
20. C19×#3252C2semidirect
21. C19×#3197C2semidirect
22. C19×#3196C2semidirect
23. C19×#3196C2semidirect
24. C19×#3193C2semidirect
25. C19×#3183C2semidirect
26. C19×#3172C2semidirect
27. C19×#3056C2semidirect
28. C19×#3055C2semidirect
29. C19×#3054C2semidirect
30. C2×C19×#470C2semidirect
31. D4×M16×C19C2semidirect
32. C2×C19×#137C22semidirect
33. C2×C19×AGL(1,ℤ/8)C22semidirect
34. C2×C19×#135C22semidirect
35. C22×Q16×C19C22semidirect
37. C22×M16×C19C22semidirect
47. C19×#552C22semidirect
52. D4×Q8×C19C22semidirect
56. C19×#548C22semidirect
58. C19×#547C22semidirect
68. C19×#533C22semidirect
71. C19×#529C22semidirect
75. C19×#525C22semidirect
78. C2×C19×C22⋊Q8C22semidirect
83. C19×#501C22semidirect
84. C19×#499C22semidirect
85. C19×#497C22semidirect
86. C19×#495C22semidirect
87. C19×#491C22semidirect
88. C19×#489C22semidirect
89. C19×#488C22semidirect
90. C19×#488C22semidirect
91. C19×#485C22semidirect
92. C19×#485C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#484C22semidirect
98. C19×#484C22semidirect
99. C19×#484C22semidirect
100. C19×#484C22semidirect
101. C19×#482C22semidirect
102. C19×#482C22semidirect
103. C19×#481C22semidirect
104. C19×#481C22semidirect
105. C19×#480C22semidirect
106. C19×#480C22semidirect
107. C19×#479C22semidirect
108. C19×#479C22semidirect
109. C19×#479C22semidirect
110. C19×#479C22semidirect
111. C19×#478C22semidirect
112. C19×#478C22semidirect
113. C19×#477C22semidirect
114. C19×#476C22semidirect
115. C19×#470C22semidirect
116. C19×#470C22semidirect
117. C19×#470C22semidirect
118. C19×#470C22semidirect
119. C19×#470C22semidirect
120. C19×#470C22semidirect
121. C19×#470C22semidirect
122. C19×#470C22semidirect
123. C19×#470C22semidirect
124. C19×#470C22semidirect
125. C19×#470C22semidirect
128. C19×#469C22semidirect
135. C19×#468C22semidirect
136. C19×#468C22semidirect
137. C19×#468C22semidirect
138. C19×#468C22semidirect
139. C19×#467C22semidirect
140. C19×#467C22semidirect
141. C19×#466C22semidirect
142. C19×#466C22semidirect
143. C19×#465C22semidirect
144. C19×#465C22semidirect
145. C19×#465C22semidirect
146. C19×#465C22semidirect
147. C19×#464C22semidirect
148. C19×#464C22semidirect
149. C19×#464C22semidirect
150. C19×#464C22semidirect
151. C19×#463C22semidirect
152. C19×#463C22semidirect
153. C19×#462C22semidirect
154. C19×#461C22semidirect
155. C19×#452C22semidirect
156. C19×#452C22semidirect
157. C19×#452C22semidirect
158. C19×#452C22semidirect
159. C19×#452C22semidirect
160. C19×#452C22semidirect
161. C19×#451C22semidirect
162. C19×#451C22semidirect
163. C19×#450C22semidirect
164. C19×#450C22semidirect
165. C19×#449C22semidirect
166. C19×#449C22semidirect
167. C19×#448C22semidirect
168. C19×#448C22semidirect
169. C19×#448C22semidirect
170. C19×#448C22semidirect
171. C19×#442C22semidirect
172. C19×#441C22semidirect
173. C19×#440C22semidirect
174. C19×#440C22semidirect
175. C4×Q16×C19C22semidirect
176. C4×Q16×C19C22semidirect
177. C4×SD16×C19C22semidirect
178. C4×SD16×C19C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C8×D4×C19C22semidirect
186. C8×D4×C19C22semidirect
187. C19×#428C22semidirect
188. C19×#428C22semidirect
189. C19×#427C22semidirect
190. C2×C19×#106C22semidirect
191. C19×#423C22semidirect
192. C19×#419C22semidirect
193. C19×#418C22semidirect
194. C19×#417C22semidirect
195. C19×#417C22semidirect
196. C19×#416C22semidirect
197. C19×#416C22semidirect
198. C2×C19×#103C22semidirect
199. C2×C19×#103C22semidirect
201. C19×#407C22semidirect
202. C4×M16×C19C22semidirect
706. #62302C19direct (N × H)
825. #3520C2×C19semidirect
826. #3505C2×C19semidirect
827. #3352C2×C19semidirect
828. #3349C2×C19semidirect
829. #3345C2×C19semidirect
830. #3337C2×C19semidirect
831. #3327C2×C19semidirect
832. #3323C2×C19semidirect
833. #3320C2×C19semidirect
834. #3315C2×C19semidirect
835. #3311C2×C19semidirect
836. #3308C2×C19semidirect
837. #3301C2×C19semidirect
838. #3300C2×C19semidirect
839. #3285C2×C19semidirect
840. #3275C2×C19semidirect
841. #3270C2×C19semidirect
842. #3267C2×C19semidirect
843. #3256C2×C19semidirect
844. #3252C2×C19semidirect
845. #3197C2×C19semidirect
846. #3196C2×C19semidirect
847. #3196C2×C19semidirect
848. #3193C2×C19semidirect
849. #3183C2×C19semidirect
850. #3172C2×C19semidirect
851. #3056C2×C19semidirect
852. #3055C2×C19semidirect
853. #3054C2×C19semidirect
854. C2×#470C2×C19semidirect
855. D4×M16C2×C19semidirect
908. C2×#137C22×C19semidirect
909. C2×AGL(1,ℤ/8)C22×C19semidirect
910. C2×#135C22×C19semidirect
911. C22×Q16C22×C19semidirect
913. C22×M16C22×C19semidirect
923. #552C22×C19semidirect
928. D4×Q8C22×C19semidirect
932. #548C22×C19semidirect
934. #547C22×C19semidirect
944. #533C22×C19semidirect
947. #529C22×C19semidirect
951. #525C22×C19semidirect
954. C2×C22⋊Q8C22×C19semidirect
959. #501C22×C19semidirect
960. #499C22×C19semidirect
961. #497C22×C19semidirect
962. #495C22×C19semidirect
963. #491C22×C19semidirect
964. #489C22×C19semidirect
965. #488C22×C19semidirect
966. #488C22×C19semidirect
967. #485C22×C19semidirect
968. #485C22×C19semidirect
969. #485C22×C19semidirect
970. #485C22×C19semidirect
971. #485C22×C19semidirect
972. #485C22×C19semidirect
973. #484C22×C19semidirect
974. #484C22×C19semidirect
975. #484C22×C19semidirect
976. #484C22×C19semidirect
977. #482C22×C19semidirect
978. #482C22×C19semidirect
979. #481C22×C19semidirect
980. #481C22×C19semidirect
981. #480C22×C19semidirect
982. #480C22×C19semidirect
983. #479C22×C19semidirect
984. #479C22×C19semidirect
985. #479C22×C19semidirect
986. #479C22×C19semidirect
987. #478C22×C19semidirect
988. #478C22×C19semidirect
989. #477C22×C19semidirect
990. #476C22×C19semidirect
991. #470C22×C19semidirect
992. #470C22×C19semidirect
993. #470C22×C19semidirect
994. #470C22×C19semidirect
995. #470C22×C19semidirect
996. #470C22×C19semidirect
997. #470C22×C19semidirect
998. #470C22×C19semidirect
999. #470C22×C19semidirect
1000. #470C22×C19semidirect
1001. #470C22×C19semidirect
1004. #469C22×C19semidirect
1011. #468C22×C19semidirect
1012. #468C22×C19semidirect
1013. #468C22×C19semidirect
1014. #468C22×C19semidirect
1015. #467C22×C19semidirect
1016. #467C22×C19semidirect
1017. #466C22×C19semidirect
1018. #466C22×C19semidirect
1019. #465C22×C19semidirect
1020. #465C22×C19semidirect
1021. #465C22×C19semidirect
1022. #465C22×C19semidirect
1023. #464C22×C19semidirect
1024. #464C22×C19semidirect
1025. #464C22×C19semidirect
1026. #464C22×C19semidirect
1027. #463C22×C19semidirect
1028. #463C22×C19semidirect
1029. #462C22×C19semidirect
1030. #461C22×C19semidirect
1031. #452C22×C19semidirect
1032. #452C22×C19semidirect
1033. #452C22×C19semidirect
1034. #452C22×C19semidirect
1035. #452C22×C19semidirect
1036. #452C22×C19semidirect
1037. #451C22×C19semidirect
1038. #451C22×C19semidirect
1039. #450C22×C19semidirect
1040. #450C22×C19semidirect
1041. #449C22×C19semidirect
1042. #449C22×C19semidirect
1043. #448C22×C19semidirect
1044. #448C22×C19semidirect
1045. #448C22×C19semidirect
1046. #448C22×C19semidirect
1047. #442C22×C19semidirect
1048. #441C22×C19semidirect
1049. #440C22×C19semidirect
1050. #440C22×C19semidirect
1051. C4×Q16C22×C19semidirect
1052. C4×Q16C22×C19semidirect
1053. C4×SD16C22×C19semidirect
1054. C4×SD16C22×C19semidirect
1059. #435C22×C19semidirect
1060. #435C22×C19semidirect
1061. C8×D4C22×C19semidirect
1062. C8×D4C22×C19semidirect
1063. #428C22×C19semidirect
1064. #428C22×C19semidirect
1065. #427C22×C19semidirect
1066. C2×#106C22×C19semidirect
1067. #423C22×C19semidirect
1068. #419C22×C19semidirect
1069. #418C22×C19semidirect
1070. #417C22×C19semidirect
1071. #417C22×C19semidirect
1072. #416C22×C19semidirect
1073. #416C22×C19semidirect
1074. C2×#103C22×C19semidirect
1075. C2×#103C22×C19semidirect
1077. #407C22×C19semidirect
1078. C4×M16C22×C19semidirect
1371. C19#62302direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35202
C19×#35052
C19×#33522
C19×#33492
C19×#33452
C19×#33372
C19×#33272
C19×#33232
C19×#33202
C19×#33152
C19×#33112
C19×#33082
C19×#33012
C19×#33002
C19×#32852
C19×#32752
C19×#32702
C19×#32672
C19×#32562
C19×#32522
C19×#31972
C19×#31962
C19×#31932
C19×#31832
C19×#31722
C19×#30562
C19×#30552
C19×#30542
C2×C19×#4702
D4×M16×C192
#6230219