Finite Group Databasebeta

← C19×#62027 #18067986

Subgroups — C19×#62027 #18067986

Order 4864.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3562C211yesmaximal, characteristic, complemented
2C19×#3513C211yesmaximal, characteristic, complemented
3C19×#3401C211yesmaximal, characteristic, complemented
4C19×#3396C211yesmaximal, characteristic, complemented
5C19×#3370C211yesmaximal, characteristic, complemented
6C19×#3360C211yesmaximal, characteristic, complemented
7C19×#3330C211yesmaximal, characteristic, complemented
8C19×#3327C211yesmaximal, characteristic, complemented
9C19×#3326C211yesmaximal, characteristic, complemented
10C19×#3317C211yesmaximal, characteristic, complemented
11C19×#3306C211yesmaximal, characteristic, complemented
12C19×#3297C211yesmaximal, characteristic, complemented
13C19×#3282C211yesmaximal, characteristic, complemented
14C19×#3274C211yesmaximal, characteristic, complemented
15C19×#3273C211yesmaximal, characteristic, complemented
16C19×#3273C211yesmaximal, characteristic, complemented
17C19×#3267C211yesmaximal, characteristic, complemented
18C19×#3265C211yesmaximal, characteristic, complemented
19C19×#3260C211yesmaximal, characteristic, complemented
20C19×#3257C211yesmaximal, characteristic, complemented
21C19×#3256C211yesmaximal, characteristic, complemented
22C19×#3225C211yesmaximal, characteristic, complemented
23C19×#3220C211yesmaximal, characteristic, complemented
24C19×#3212C211yesmaximal, characteristic, complemented
25C19×#3122C211yesmaximal, characteristic, complemented
26C19×#3120C211yesmaximal, characteristic, complemented
27C19×#3105C211yesmaximal, characteristic, complemented
28C19×#3045C211yesmaximal, characteristic, complemented
29C19×#3042C211yesmaximal, characteristic, complemented
30C19×#3036C211yesmaximal, characteristic, complemented
31C19×#2993C211yesmaximal, characteristic, complemented
32C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C19×#135C2211yescharacteristic
37C22×SD16×C19C2211yescharacteristic, complemented
38C19×#562—21no—
39C19×#560—21no—
40C19×#559C2211yescharacteristic, complemented
41C19×#559C2211yescharacteristic, complemented
42C19×#556C2211yescharacteristic, complemented
43C19×#554C2211yescharacteristic, complemented
44C19×#553—21no—
45C19×#553—21no—
46C19×#553C2211yescharacteristic
47C19×#552C2211yescharacteristic, complemented
48C19×#551—21no—
49C19×#551—21no—
50C19×#551—21no—
51C19×#550C2211yescharacteristic
52C19×#548C2211yescharacteristic
53C19×#548C2211yescharacteristic, complemented
54C19×#547C2211yescharacteristic
55C19×#547C2211yescharacteristic, complemented
56C19×#546—21no—
57C19×#546C2211yescharacteristic
58C19×#546C2211yescharacteristic
59C19×#546C2211yescharacteristic, complemented
60C19×#546C2211yescharacteristic, complemented
61D42×C19C2211yescharacteristic, complemented
62C19×#542C2211yescharacteristic, complemented
63C19×#541C2211yescharacteristic, complemented
64C19×#540—21no—
65C19×#540C2211yescharacteristic
66C19×#540C2211yescharacteristic, complemented
67C19×#539—21no—
68C19×#539—21no—
69C19×#538—21no—
70C19×#538—21no—
71C19×#538—21no—
72C19×#536C2211yescharacteristic, complemented
73C19×#535C2211yescharacteristic, complemented
74C19×#532C2211yescharacteristic, complemented
75C19×#529C2211yescharacteristic
76C19×#529C2211yescharacteristic, complemented
77C19×#529C2211yescharacteristic, complemented
78C19×#525—21no—
79C2×C19×#123—21no—
80C19×#520C2211yescharacteristic
81C19×#518C2211yescharacteristic, complemented
82C2×C4×D4×C19C2211yescharacteristic, complemented
83C19×#497C2211yescharacteristic, complemented
84C19×#496C2211yescharacteristic
85C19×#495C2211yescharacteristic, complemented
86C19×#495C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#493C2211yescharacteristic
89C19×#490C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#488C2211yescharacteristic, complemented
93C19×#488C2211yescharacteristic, complemented
94C19×#487C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic, complemented
96C19×#484C2211yescharacteristic, complemented
97C19×#483C2211yescharacteristic, complemented
98C19×#482C2211yescharacteristic, complemented
99C19×#482C2211yescharacteristic, complemented
100C19×#481C2211yescharacteristic, complemented
101C19×#479C2211yescharacteristic, complemented
102C19×#479C2211yescharacteristic, complemented
103C19×#479C2211yescharacteristic, complemented
104C19×#479C2211yescharacteristic, complemented
105C19×#478C2211yescharacteristic, complemented
106C19×#478C2211yescharacteristic, complemented
107C19×#478C2211yescharacteristic, complemented
108C19×#478C2211yescharacteristic, complemented
109C19×#476C2211yescharacteristic, complemented
110C19×#474C2211yescharacteristic, complemented
111C19×#470C2211yescharacteristic, complemented
112C19×#469C2211yescharacteristic
113C19×#469C2211yescharacteristic, complemented
114C19×#468C2211yescharacteristic, complemented
115C19×#468C2211yescharacteristic, complemented
116C19×#468C2211yescharacteristic, complemented
117C19×#468C2211yescharacteristic, complemented
118C19×#468C2211yescharacteristic, complemented
119C19×#466C2211yescharacteristic
120C19×#465C2211yescharacteristic, complemented
121C19×#465C2211yescharacteristic, complemented
122C19×#465C2211yescharacteristic, complemented
123C19×#464C2211yescharacteristic, complemented
124C19×#464C2211yescharacteristic, complemented
125C19×#464C2211yescharacteristic, complemented
126C19×#463C2211yescharacteristic
127C19×#463C2211yescharacteristic
128C19×#463C2211yescharacteristic
129C19×#463C2211yescharacteristic
130C19×#463C2211yescharacteristic, complemented
131C19×#463C2211yescharacteristic, complemented
132C19×#463C2211yescharacteristic, complemented
133C19×#463C2211yescharacteristic, complemented
134C19×#463C2211yescharacteristic, complemented
135C19×#463C2211yescharacteristic, complemented
136C19×#463C2211yescharacteristic, complemented
137C19×#463C2211yescharacteristic, complemented
138C19×#463C2211yescharacteristic, complemented
139C19×#462C2211yescharacteristic, complemented
140C19×#461C2211yescharacteristic, complemented
141C19×#461C2211yescharacteristic, complemented
142C19×#461C2211yescharacteristic, complemented
143C19×#461C2211yescharacteristic, complemented
144C19×#461C2211yescharacteristic, complemented
145C19×#460C2211yescharacteristic, complemented
146C19×#460C2211yescharacteristic, complemented
147C19×#460C2211yescharacteristic, complemented
148C19×#460C2211yescharacteristic, complemented
149C19×#459C2211yescharacteristic
150C19×#459C2211yescharacteristic
151C19×#459C2211yescharacteristic, complemented
152C19×#459C2211yescharacteristic, complemented
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic, complemented
156C19×#452C2211yescharacteristic, complemented
157C19×#452C2211yescharacteristic, complemented
158C19×#451C2211yescharacteristic, complemented
159C19×#450C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic, complemented
163C19×#449C2211yescharacteristic, complemented
164C19×#449C2211yescharacteristic, complemented
165C19×#448C2211yescharacteristic, complemented
166C19×#447C2211yescharacteristic
167C19×#447C2211yescharacteristic
168C19×#447C2211yescharacteristic, complemented
169C19×#447C2211yescharacteristic, complemented
170C19×#447C2211yescharacteristic, complemented
171C19×#446C2211yescharacteristic, complemented
172C8×Q8×C19C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic, complemented
174C19×#442C2211yescharacteristic, complemented
175C19×#441C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×Q16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C4×SD16×C19C2211yescharacteristic, complemented
180C4×SD16×C19C2211yescharacteristic, complemented
181C4×D8×C19C2211yescharacteristic
182C4×D8×C19C2211yescharacteristic
183C4×D8×C19C2211yescharacteristic, complemented
184C4×D8×C19C2211yescharacteristic, complemented
185C19×#436C2211yescharacteristic, complemented
186C19×#436C2211yescharacteristic, complemented
187C19×#436C2211yescharacteristic, complemented
188C19×#435C2211yescharacteristic, complemented
189C19×#435C2211yescharacteristic, complemented
190C8×D4×C19C2211yescharacteristic, complemented
191C19×#433C2211yescharacteristic, complemented
192C19×#433C2211yescharacteristic, complemented
193C19×#431C2211yescharacteristic, complemented
194C19×#424C2211yescharacteristic, complemented
195C19×#424C2211yescharacteristic, complemented
196C19×#423C2211yescharacteristic, complemented
197C19×#419C2211yescharacteristic, complemented
198C19×#417C2211yescharacteristic, complemented
199C19×#417C2211yescharacteristic, complemented
200C19×#417C2211yescharacteristic, complemented
201C19×#416C2211yescharacteristic, complemented
202C2×C19×#102C2211yescharacteristic, complemented
203C2×#41×C19—21no—
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C2×#41×C19C2311yescharacteristic
208C2×#41×C19C2311yescharacteristic
209C22×Q8×C19C2311yescharacteristic
210C22×D4×C19—21no—
211C22×D4×C19C2311yescharacteristic
212C22×D4×C19C2311yescharacteristic
213C22×D4×C19C2311yescharacteristic
214C23×C4×C19—21no—
215C19×AGL(1,ℤ/8)—42no—
216C19×AGL(1,ℤ/8)—42no—
217C19×AGL(1,ℤ/8)—42no—
218C19×AGL(1,ℤ/8)—42no—
219C19×#135—42no—
220C2×Q16×C19C2311yescharacteristic
221C2×Q16×C19C2311yescharacteristic
222C2×Q16×C19C2311yescharacteristic
223C2×SD16×C19—42no—
224C2×SD16×C19C2311yescharacteristic
225C2×SD16×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×SD16×C19C2311yescharacteristic
235C2×SD16×C19C2311yescharacteristic
236C2×D8×C19C2311yescharacteristic
237C2×D8×C19C2311yescharacteristic
238C2×D8×C19C2311yescharacteristic
239C2×D8×C19C2311yescharacteristic
240C2×D8×C19C2311yescharacteristic
241C2×D8×C19C2311yescharacteristic
242C2×D8×C19C2311yescharacteristic
243C2×D8×C19C2311yescharacteristic
244C2×D8×C19C2311yescharacteristic
245C2×M16×C19C2311yescharacteristic
246C2×M16×C19C2311yescharacteristic
247C2×M16×C19C2311yescharacteristic
248C2×M16×C19C2311yescharacteristic
249C22×C8×C19C2311yescharacteristic
250C22×C8×C19C2311yescharacteristic
251C19×C4⋊Q8C2311yescharacteristic
252C19×C4⋊Q8C2311yescharacteristic
253C19×C4⋊Q8C2311yescharacteristic
254C19×#127—21no—
255C19×#127C2311yescharacteristic
256C19×#127C2311yescharacteristic
257C19×#127C2311yescharacteristic
258C19×#126—21no—
259C19×#126—21no—
260C19×#126—21no—
261C19×#126—21no—
262C19×#126—21no—
263C19×#126—21no—
264C19×#126—21no—
265C19×#126—21no—
266C19×#126—21no—
267C19×#126D411yescharacteristic
268C19×#126D411yescharacteristic
269C19×#125—21no—
270C19×#125—21no—
271C19×#125—21no—
272C19×#125D411yescharacteristic
273C19×#125C2311yescharacteristic
274C19×#125C2311yescharacteristic
275C19×#125C2311yescharacteristic
276C19×#124—21no—
277C19×#124—21no—
278C19×#124—21no—
279C19×#124—21no—
280C19×#124—21no—
281C19×#124D411yescharacteristic
282C19×#124C2311yescharacteristic
283C19×#124C2311yescharacteristic
284C19×#124C2311yescharacteristic
285C19×#124C2311yescharacteristic
286C19×#124C2311yescharacteristic
287C19×#124C2311yescharacteristic
288C19×#124C2311yescharacteristic
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×#123—21no—
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123D411yescharacteristic
313C19×#123D411yescharacteristic
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8—21no—
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8—21no—
322C19×C22⋊Q8—21no—
323C19×C22⋊Q8—21no—
324C19×C22⋊Q8D411yescharacteristic
325C19×C22⋊Q8C2311yescharacteristic
326C19×C22⋊Q8C2311yescharacteristic
327C19×C22⋊Q8C2311yescharacteristic
328C19×C22⋊Q8C2311yescharacteristic
329C19×C22⋊Q8C2311yescharacteristic
330C19×#121—21no—
331C19×#121—21no—
332C19×#121—21no—
333C19×#121—21no—
334C19×#121—21no—
335C19×#121—21no—
336C19×#121—21no—
337C19×#121—21no—
338C19×#121—21no—
339C19×#121—21no—
340C19×#121—21no—
341C19×#121—21no—
342C19×#121—21no—
343C19×#121—21no—
344C19×#121—21no—
345C19×#121—21no—
346C19×#121—21no—
347C19×#121—21no—
348C19×#121—21no—
349C19×#121D411yescharacteristic
350C19×#121C2311yescharacteristic
351C19×#121C2311yescharacteristic
352C19×#121C2311yescharacteristic
353C19×#121C2311yescharacteristic
354C19×#121C2311yescharacteristic
355C19×#121C2311yescharacteristic
356C19×#121C2311yescharacteristic
357C19×#120—21no—
358C19×#120—21no—
359C19×#120—21no—
360C19×#120—21no—
361C19×#120—21no—
362C19×#120—21no—
363C19×#120—21no—
364C19×#120—21no—
365C4×Q8×C19C2311yescharacteristic
366C4×Q8×C19C2311yescharacteristic
367C4×Q8×C19C2311yescharacteristic
368C4×Q8×C19C2311yescharacteristic
369C4×Q8×C19C2311yescharacteristic
370C4×Q8×C19C2311yescharacteristic
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×C19—21no—
380C4×D4×C19—21no—
381C4×D4×C19—21no—
382C4×D4×C19—21no—
383C4×D4×C19—21no—
384C4×D4×C19—21no—
385C4×D4×C19—21no—
386C4×D4×C19—21no—
387C4×D4×C19C2311yescharacteristic
388C4×D4×C19C2311yescharacteristic
389C4×D4×C19C2311yescharacteristic
390C4×D4×C19C2311yescharacteristic
391C4×D4×C19C2311yescharacteristic
392C4×D4×C19C2311yescharacteristic
393C4×D4×C19C2311yescharacteristic
394C4×D4×C19C2311yescharacteristic
395C4×D4×C19C2311yescharacteristic
396C4×D4×C19C2311yescharacteristic
397C4×D4×C19C2311yescharacteristic
398C4×D4×C19C2311yescharacteristic
399C4×D4×C19C2311yescharacteristic
400C4×D4×C19C2311yescharacteristic
401C19×#117—21no—
402C19×#117—21no—
403C19×#117—21no—
404C19×#117—21no—
405C19×#117—21no—
406C19×#117C2311yescharacteristic
407C19×#117C2311yescharacteristic
408C19×#117C2311yescharacteristic
409C2×C4⋊C4×C19—21no—
410C2×C4⋊C4×C19—21no—
411C2×C4⋊C4×C19—21no—
412C2×C4⋊C4×C19C2311yescharacteristic
413C2×C4⋊C4×C19C2311yescharacteristic
414C2×C22⋊C4×C19—21no—
415C2×C22⋊C4×C19—21no—
416C2×C22⋊C4×C19—21no—
417C2×C22⋊C4×C19—21no—
418C2×C22⋊C4×C19—21no—
419C2×C22⋊C4×C19—21no—
420C2×C22⋊C4×C19—21no—
421C2×C42×C19C2311yescharacteristic
422C19×#107C2311yescharacteristic
423C19×#107C2311yescharacteristic
424C19×#107C2311yescharacteristic
425C19×#107C2311yescharacteristic
426C19×#106C2311yescharacteristic
427C19×#106C2311yescharacteristic
428C19×#106C2311yescharacteristic
429C19×#106C2311yescharacteristic
430C19×C4⋊C8C2311yescharacteristic
431C19×C4⋊C8C2311yescharacteristic
432C19×C4⋊C8C2311yescharacteristic
433C19×C4⋊C8C2311yescharacteristic
434C19×C4⋊C8C2311yescharacteristic
435C19×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
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×#97C2311yescharacteristic
479C19×#97C2311yescharacteristic
480C4×C8×C19C2311yescharacteristic
481C4×C8×C19C2311yescharacteristic
482C4×C8×C19C2311yescharacteristic
483C4×C8×C19C2311yescharacteristic
484C24×C19—21no—
485C24×C19—21no—
486C24×C19—21no—
487#41×C19—22no—
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—41no—
496#41×C19—41no—
497#41×C19—82no—
498C2×Q8×C19—21no—
499C2×Q8×C19—21no—
500C2×Q8×C19—41no—
501C2×Q8×C19—41no—
502C2×Q8×C19C2×D411yescharacteristic
503C2×Q8×C19C2411yescharacteristic
504C2×Q8×C19C2411yescharacteristic
505C2×Q8×C19C2411yescharacteristic
506C2×Q8×C19C2411yescharacteristic
507C2×D4×C19—22no—
508C2×D4×C19—22no—
509C2×D4×C19—21no—
510C2×D4×C19—21no—
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—21no—
526C2×D4×C19—21no—
527C2×D4×C19—21no—
528C2×D4×C19—21no—
529C2×D4×C19—21no—
530C2×D4×C19—41no—
531C2×D4×C19—41no—
532C2×D4×C19—41no—
533C2×D4×C19—41no—
534C2×D4×C19—82no—
535C2×D4×C19C2×D411yescharacteristic
536C2×D4×C19C2×D411yescharacteristic
537C2×D4×C19C2×D411yescharacteristic
538C2×D4×C19C2411yescharacteristic
539C2×D4×C19C2411yescharacteristic
540C2×D4×C19C2411yescharacteristic
541C2×D4×C19C2411yescharacteristic
542C2×D4×C19C2411yescharacteristic
543C2×D4×C19C2411yescharacteristic
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—21no—
551C22×C4×C19—21no—
552C22×C4×C19—21no—
553C22×C4×C19—21no—
554C22×C4×C19—21no—
555C22×C4×C19—21no—
556C22×C4×C19—21no—
557C22×C4×C19—21no—
558C22×C4×C19—21no—
559C22×C4×C19—21no—
560C22×C4×C19—21no—
561C22×C4×C19—21no—
562C22×C4×C19—21no—
563C22×C4×C19—82no—
564C22×C4×C19C2×D411yescharacteristic
565C22×C4×C19C2×D411yescharacteristic
566C22×C4×C19C2411yescharacteristic
567C22×C4×C19C2411yescharacteristic
568C22×C4×C19C2411yescharacteristic
569Q16×C19—41no—
570Q16×C19—41no—
571Q16×C19—41no—
572SD16×C19—22no—
573SD16×C19—22no—
574SD16×C19—22no—
575SD16×C19—41no—
576SD16×C19—41no—
577SD16×C19—41no—
578SD16×C19—41no—
579SD16×C19—41no—
580SD16×C19—41no—
581SD16×C19—41no—
582SD16×C19—41no—
583SD16×C19—41no—
584D8×C19—22no—
585D8×C19—22no—
586D8×C19—22no—
587D8×C19—41no—
588D8×C19—41no—
589D8×C19—41no—
590D8×C19—41no—
591D8×C19—41no—
592D8×C19—41no—
593M16×C19—41no—
594M16×C19—41no—
595M16×C19—41no—
596M16×C19—41no—
597C2×C8×C19—41no—
598C2×C8×C19—41no—
599C2×C8×C19C2411yescharacteristic
600C2×C8×C19C2411yescharacteristic
601C2×C8×C19C2411yescharacteristic
602C2×C8×C19C2411yescharacteristic
603C2×C8×C19C2411yescharacteristic
604C2×C8×C19C2411yescharacteristic
605C2×C8×C19C2411yescharacteristic
606C2×C8×C19C2411yescharacteristic
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×C19C2×D411yescharacteristic
631C4⋊C4×C19C2×D411yescharacteristic
632C4⋊C4×C19C2×D411yescharacteristic
633C4⋊C4×C19C2×D411yescharacteristic
634C4⋊C4×C19C2×D411yescharacteristic
635C4⋊C4×C19C2×D411yescharacteristic
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
646C22⋊C4×C19—21no—
647C22⋊C4×C19—21no—
648C22⋊C4×C19—21no—
649C22⋊C4×C19—21no—
650C22⋊C4×C19—21no—
651C22⋊C4×C19—21no—
652C22⋊C4×C19—21no—
653C22⋊C4×C19—21no—
654C22⋊C4×C19—21no—
655C22⋊C4×C19—21no—
656C22⋊C4×C19—21no—
657C22⋊C4×C19—21no—
658C22⋊C4×C19—21no—
659C22⋊C4×C19—21no—
660C22⋊C4×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×C19C2×D411yescharacteristic
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
693C22⋊C4×C19C2×D411yescharacteristic
694C42×C19—21no—
695C42×C19—21no—
696C42×C19—21no—
697C42×C19—21no—
698C42×C19—21no—
699C42×C19—21no—
700C42×C19C2×D411yescharacteristic
701C42×C19C2×D411yescharacteristic
702C42×C19C2411yescharacteristic
703C42×C19C2411yescharacteristic
704C42×C19C2411yescharacteristic
705C42×C19C2411yescharacteristic
706#62027C1911yesmaximal, characteristic, direct product factor, Sylow
707C23×C19—21no—
708C23×C19—21no—
709C23×C19—21no—
710C23×C19—21no—
711C23×C19—21no—
712C23×C19—21no—
713C23×C19—42no—
714C23×C19—42no—
715C23×C19—42no—
716C23×C19—81no—
717C23×C19—81no—
718C23×C19—81no—
719C23×C19—81no—
720C23×C19—81no—
721C23×C19—81no—
722C23×C19C22×D411yescharacteristic
723C23×C19C22×D411yescharacteristic
724C23×C19C22×D411yescharacteristic
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—41no—
734Q8×C19—81no—
735Q8×C19—81no—
736D4×C19—21no—
737D4×C19—21no—
738D4×C19—21no—
739D4×C19—21no—
740D4×C19—21no—
741D4×C19—21no—
742D4×C19—21no—
743D4×C19—21no—
744D4×C19—21no—
745D4×C19—21no—
746D4×C19—21no—
747D4×C19—41no—
748D4×C19—41no—
749D4×C19—41no—
750D4×C19—42no—
751D4×C19—42no—
752D4×C19—42no—
753D4×C19—42no—
754D4×C19—81no—
755D4×C19—81no—
756D4×C19—81no—
757D4×C19—81no—
758D4×C19—81no—
759D4×C19—81no—
760D4×C19—81no—
761D4×C19—81no—
762D4×C19—81no—
763D4×C19—81no—
764D4×C19—81no—
765D4×C19—81no—
766D4×C19—81no—
767D4×C19—81no—
768D4×C19—81no—
769D4×C19—81no—
770D4×C19—81no—
771D4×C19H(5,𝔽2)12yes—
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—21no—
786C2×C4×C19—21no—
787C2×C4×C19—21no—
788C2×C4×C19—41no—
789C2×C4×C19—41no—
790C2×C4×C19—42no—
791C2×C4×C19—42no—
792C2×C4×C19—81no—
793C2×C4×C19—81no—
794C2×C4×C19—81no—
795C2×C4×C19—81no—
796C2×C4×C19—81no—
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×C19—81no—
808C2×C4×C19—81no—
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×C19C22×D411yescharacteristic
817C2×C4×C19C22×D411yescharacteristic
818C2×C4×C19C22×D411yescharacteristic
819C2×C4×C19C22×D411yescharacteristic
820C2×C4×C19C2511yescharacteristic
821C8×C19—21no—
822C8×C19—21no—
823C8×C19—21no—
824C8×C19—21no—
825C8×C19—21no—
826C8×C19—21no—
827C8×C19—21no—
828C8×C19—21no—
829#3562C2×C1911yescharacteristic, complemented
830#3513C2×C1911yescharacteristic, complemented
831#3401C2×C1911yescharacteristic, complemented
832#3396C2×C1911yescharacteristic, complemented
833#3370C2×C1911yescharacteristic, complemented
834#3360C2×C1911yescharacteristic, complemented
835#3330C2×C1911yescharacteristic, complemented
836#3327C2×C1911yescharacteristic, complemented
837#3326C2×C1911yescharacteristic, complemented
838#3317C2×C1911yescharacteristic, complemented
839#3306C2×C1911yescharacteristic, complemented
840#3297C2×C1911yescharacteristic, complemented
841#3282C2×C1911yescharacteristic, complemented
842#3274C2×C1911yescharacteristic, complemented
843#3273C2×C1911yescharacteristic, complemented
844#3273C2×C1911yescharacteristic, complemented
845#3267C2×C1911yescharacteristic, complemented
846#3265C2×C1911yescharacteristic, complemented
847#3260C2×C1911yescharacteristic, complemented
848#3257C2×C1911yescharacteristic, complemented
849#3256C2×C1911yescharacteristic, complemented
850#3225C2×C1911yescharacteristic, complemented
851#3220C2×C1911yescharacteristic, complemented
852#3212C2×C1911yescharacteristic, complemented
853#3122C2×C1911yescharacteristic, complemented
854#3120C2×C1911yescharacteristic, complemented
855#3105C2×C1911yescharacteristic, complemented
856#3045C2×C1911yescharacteristic, complemented
857#3042C2×C1911yescharacteristic, complemented
858#3036C2×C1911yescharacteristic, complemented
859#2993C2×C1911yescharacteristic, complemented
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—22no—
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—41no—
880C22×C19—41no—
881C22×C19—41no—
882C22×C19—41no—
883C22×C19—41no—
884C22×C19—41no—
885C22×C19—41no—
886C22×C19—41no—
887C22×C19—84no—
888C22×C19—162no—
889C22×C19—162no—
890C22×C19C23×D411yescharacteristic
891C4×C19—21no—
892C4×C19—21no—
893C4×C19—21no—
894C4×C19—21no—
895C4×C19—21no—
896C4×C19—21no—
897C4×C19—21no—
898C4×C19—21no—
899C4×C19—21no—
900C4×C19—21no—
901C4×C19—21no—
902C4×C19—41no—
903C4×C19—41no—
904C4×C19—41no—
905C4×C19—41no—
906C4×C19—41no—
907C4×C19—41no—
908C4×C19—41no—
909C4×C19—41no—
910C4×C19—41no—
911C4×C19—41no—
912C4×C19C2×H(5,𝔽2)11yescharacteristic
913C4×C19#58511yescharacteristic
914C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
915C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
916C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
917C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
918C2×#135C22×C1911yescharacteristic
919C22×SD16C22×C1911yescharacteristic, complemented
920#562—21no—
921#560—21no—
922#559C22×C1911yescharacteristic, complemented
923#559C22×C1911yescharacteristic, complemented
924#556C22×C1911yescharacteristic, complemented
925#554C22×C1911yescharacteristic, complemented
926#553—21no—
927#553—21no—
928#553C22×C1911yescharacteristic
929#552C22×C1911yescharacteristic, complemented
930#551—21no—
931#551—21no—
932#551—21no—
933#550C22×C1911yescharacteristic
934#548C22×C1911yescharacteristic
935#548C22×C1911yescharacteristic, complemented
936#547C22×C1911yescharacteristic
937#547C22×C1911yescharacteristic, complemented
938#546—21no—
939#546C22×C1911yescharacteristic
940#546C22×C1911yescharacteristic
941#546C22×C1911yescharacteristic, complemented
942#546C22×C1911yescharacteristic, complemented
943D42C22×C1911yescharacteristic, complemented
944#542C22×C1911yescharacteristic, complemented
945#541C22×C1911yescharacteristic, complemented
946#540—21no—
947#540C22×C1911yescharacteristic
948#540C22×C1911yescharacteristic, complemented
949#539—21no—
950#539—21no—
951#538—21no—
952#538—21no—
953#538—21no—
954#536C22×C1911yescharacteristic, complemented
955#535C22×C1911yescharacteristic, complemented
956#532C22×C1911yescharacteristic, complemented
957#529C22×C1911yescharacteristic
958#529C22×C1911yescharacteristic, complemented
959#529C22×C1911yescharacteristic, complemented
960#525—21no—
961C2×#123—21no—
962#520C22×C1911yescharacteristic
963#518C22×C1911yescharacteristic, complemented
964C2×C4×D4C22×C1911yescharacteristic, complemented
965#497C22×C1911yescharacteristic, complemented
966#496C22×C1911yescharacteristic
967#495C22×C1911yescharacteristic, complemented
968#495C22×C1911yescharacteristic, complemented
969#495C22×C1911yescharacteristic, complemented
970#493C22×C1911yescharacteristic
971#490C22×C1911yescharacteristic, complemented
972#489C22×C1911yescharacteristic, complemented
973#488C22×C1911yescharacteristic, complemented
974#488C22×C1911yescharacteristic, complemented
975#488C22×C1911yescharacteristic, complemented
976#487C22×C1911yescharacteristic, complemented
977#484C22×C1911yescharacteristic, complemented
978#484C22×C1911yescharacteristic, complemented
979#483C22×C1911yescharacteristic, complemented
980#482C22×C1911yescharacteristic, complemented
981#482C22×C1911yescharacteristic, complemented
982#481C22×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#478C22×C1911yescharacteristic, complemented
990#478C22×C1911yescharacteristic, complemented
991#476C22×C1911yescharacteristic, complemented
992#474C22×C1911yescharacteristic, complemented
993#470C22×C1911yescharacteristic, complemented
994#469C22×C1911yescharacteristic
995#469C22×C1911yescharacteristic, complemented
996#468C22×C1911yescharacteristic, complemented
997#468C22×C1911yescharacteristic, complemented
998#468C22×C1911yescharacteristic, complemented
999#468C22×C1911yescharacteristic, complemented
1000#468C22×C1911yescharacteristic, complemented
1001#466C22×C1911yescharacteristic
1002#465C22×C1911yescharacteristic, complemented
1003#465C22×C1911yescharacteristic, complemented
1004#465C22×C1911yescharacteristic, complemented
1005#464C22×C1911yescharacteristic, complemented
1006#464C22×C1911yescharacteristic, complemented
1007#464C22×C1911yescharacteristic, complemented
1008#463C22×C1911yescharacteristic
1009#463C22×C1911yescharacteristic
1010#463C22×C1911yescharacteristic
1011#463C22×C1911yescharacteristic
1012#463C22×C1911yescharacteristic, complemented
1013#463C22×C1911yescharacteristic, complemented
1014#463C22×C1911yescharacteristic, complemented
1015#463C22×C1911yescharacteristic, complemented
1016#463C22×C1911yescharacteristic, complemented
1017#463C22×C1911yescharacteristic, complemented
1018#463C22×C1911yescharacteristic, complemented
1019#463C22×C1911yescharacteristic, complemented
1020#463C22×C1911yescharacteristic, complemented
1021#462C22×C1911yescharacteristic, complemented
1022#461C22×C1911yescharacteristic, complemented
1023#461C22×C1911yescharacteristic, complemented
1024#461C22×C1911yescharacteristic, complemented
1025#461C22×C1911yescharacteristic, complemented
1026#461C22×C1911yescharacteristic, complemented
1027#460C22×C1911yescharacteristic, complemented
1028#460C22×C1911yescharacteristic, complemented
1029#460C22×C1911yescharacteristic, complemented
1030#460C22×C1911yescharacteristic, complemented
1031#459C22×C1911yescharacteristic
1032#459C22×C1911yescharacteristic
1033#459C22×C1911yescharacteristic, complemented
1034#459C22×C1911yescharacteristic, complemented
1035#452C22×C1911yescharacteristic
1036#452C22×C1911yescharacteristic
1037#452C22×C1911yescharacteristic, complemented
1038#452C22×C1911yescharacteristic, complemented
1039#452C22×C1911yescharacteristic, complemented
1040#451C22×C1911yescharacteristic, complemented
1041#450C22×C1911yescharacteristic, complemented
1042#449C22×C1911yescharacteristic
1043#449C22×C1911yescharacteristic
1044#449C22×C1911yescharacteristic, complemented
1045#449C22×C1911yescharacteristic, complemented
1046#449C22×C1911yescharacteristic, complemented
1047#448C22×C1911yescharacteristic, complemented
1048#447C22×C1911yescharacteristic
1049#447C22×C1911yescharacteristic
1050#447C22×C1911yescharacteristic, complemented
1051#447C22×C1911yescharacteristic, complemented
1052#447C22×C1911yescharacteristic, complemented
1053#446C22×C1911yescharacteristic, complemented
1054C8×Q8C22×C1911yescharacteristic, complemented
1055#442C22×C1911yescharacteristic, complemented
1056#442C22×C1911yescharacteristic, complemented
1057#441C22×C1911yescharacteristic, complemented
1058#440C22×C1911yescharacteristic, complemented
1059C4×Q16C22×C1911yescharacteristic, complemented
1060C4×SD16C22×C1911yescharacteristic, complemented
1061C4×SD16C22×C1911yescharacteristic, complemented
1062C4×SD16C22×C1911yescharacteristic, complemented
1063C4×D8C22×C1911yescharacteristic
1064C4×D8C22×C1911yescharacteristic
1065C4×D8C22×C1911yescharacteristic, complemented
1066C4×D8C22×C1911yescharacteristic, complemented
1067#436C22×C1911yescharacteristic, complemented
1068#436C22×C1911yescharacteristic, complemented
1069#436C22×C1911yescharacteristic, complemented
1070#435C22×C1911yescharacteristic, complemented
1071#435C22×C1911yescharacteristic, complemented
1072C8×D4C22×C1911yescharacteristic, complemented
1073#433C22×C1911yescharacteristic, complemented
1074#433C22×C1911yescharacteristic, complemented
1075#431C22×C1911yescharacteristic, complemented
1076#424C22×C1911yescharacteristic, complemented
1077#424C22×C1911yescharacteristic, complemented
1078#423C22×C1911yescharacteristic, complemented
1079#419C22×C1911yescharacteristic, complemented
1080#417C22×C1911yescharacteristic, complemented
1081#417C22×C1911yescharacteristic, complemented
1082#417C22×C1911yescharacteristic, complemented
1083#416C22×C1911yescharacteristic, complemented
1084C2×#102C22×C1911yescharacteristic, complemented
1085C2×C19—41no—
1086C2×C19—41no—
1087C2×C19—41no—
1088C2×C19—42no—
1089C2×C19—81no—
1090C2×C19—81no—
1091C2×C19—81no—
1092C2×C19—81no—
1093C2×C19—81no—
1094C2×C19#348811yescharacteristic
1095C2×C19#358411yescharacteristic
1096C2×C19#358511yescharacteristic
1097C2×#41—21no—
1098C2×#41C23×C1911yescharacteristic
1099C2×#41C23×C1911yescharacteristic
1100C2×#41C23×C1911yescharacteristic
1101C2×#41C23×C1911yescharacteristic
1102C2×#41C23×C1911yescharacteristic
1103C22×Q8C23×C1911yescharacteristic
1104C22×D4—21no—
1105C22×D4C23×C1911yescharacteristic
1106C22×D4C23×C1911yescharacteristic
1107C22×D4C23×C1911yescharacteristic
1108C23×C4—21no—
1109AGL(1,ℤ/8)—42no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—42no—
1113#135—42no—
1114C2×Q16C23×C1911yescharacteristic
1115C2×Q16C23×C1911yescharacteristic
1116C2×Q16C23×C1911yescharacteristic
1117C2×SD16—42no—
1118C2×SD16C23×C1911yescharacteristic
1119C2×SD16C23×C1911yescharacteristic
1120C2×SD16C23×C1911yescharacteristic
1121C2×SD16C23×C1911yescharacteristic
1122C2×SD16C23×C1911yescharacteristic
1123C2×SD16C23×C1911yescharacteristic
1124C2×SD16C23×C1911yescharacteristic
1125C2×SD16C23×C1911yescharacteristic
1126C2×SD16C23×C1911yescharacteristic
1127C2×SD16C23×C1911yescharacteristic
1128C2×SD16C23×C1911yescharacteristic
1129C2×SD16C23×C1911yescharacteristic
1130C2×D8C23×C1911yescharacteristic
1131C2×D8C23×C1911yescharacteristic
1132C2×D8C23×C1911yescharacteristic
1133C2×D8C23×C1911yescharacteristic
1134C2×D8C23×C1911yescharacteristic
1135C2×D8C23×C1911yescharacteristic
1136C2×D8C23×C1911yescharacteristic
1137C2×D8C23×C1911yescharacteristic
1138C2×D8C23×C1911yescharacteristic
1139C2×M16C23×C1911yescharacteristic
1140C2×M16C23×C1911yescharacteristic
1141C2×M16C23×C1911yescharacteristic
1142C2×M16C23×C1911yescharacteristic
1143C22×C8C23×C1911yescharacteristic
1144C22×C8C23×C1911yescharacteristic
1145C4⋊Q8C23×C1911yescharacteristic
1146C4⋊Q8C23×C1911yescharacteristic
1147C4⋊Q8C23×C1911yescharacteristic
1148#127—21no—
1149#127C23×C1911yescharacteristic
1150#127C23×C1911yescharacteristic
1151#127C23×C1911yescharacteristic
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126D4×C1911yescharacteristic
1162#126D4×C1911yescharacteristic
1163#125—21no—
1164#125—21no—
1165#125—21no—
1166#125D4×C1911yescharacteristic
1167#125C23×C1911yescharacteristic
1168#125C23×C1911yescharacteristic
1169#125C23×C1911yescharacteristic
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124D4×C1911yescharacteristic
1176#124C23×C1911yescharacteristic
1177#124C23×C1911yescharacteristic
1178#124C23×C1911yescharacteristic
1179#124C23×C1911yescharacteristic
1180#124C23×C1911yescharacteristic
1181#124C23×C1911yescharacteristic
1182#124C23×C1911yescharacteristic
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123D4×C1911yescharacteristic
1207#123D4×C1911yescharacteristic
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8D4×C1911yescharacteristic
1219C22⋊Q8C23×C1911yescharacteristic
1220C22⋊Q8C23×C1911yescharacteristic
1221C22⋊Q8C23×C1911yescharacteristic
1222C22⋊Q8C23×C1911yescharacteristic
1223C22⋊Q8C23×C1911yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121D4×C1911yescharacteristic
1244#121C23×C1911yescharacteristic
1245#121C23×C1911yescharacteristic
1246#121C23×C1911yescharacteristic
1247#121C23×C1911yescharacteristic
1248#121C23×C1911yescharacteristic
1249#121C23×C1911yescharacteristic
1250#121C23×C1911yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259C4×Q8C23×C1911yescharacteristic
1260C4×Q8C23×C1911yescharacteristic
1261C4×Q8C23×C1911yescharacteristic
1262C4×Q8C23×C1911yescharacteristic
1263C4×Q8C23×C1911yescharacteristic
1264C4×Q8C23×C1911yescharacteristic
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4C23×C1911yescharacteristic
1282C4×D4C23×C1911yescharacteristic
1283C4×D4C23×C1911yescharacteristic
1284C4×D4C23×C1911yescharacteristic
1285C4×D4C23×C1911yescharacteristic
1286C4×D4C23×C1911yescharacteristic
1287C4×D4C23×C1911yescharacteristic
1288C4×D4C23×C1911yescharacteristic
1289C4×D4C23×C1911yescharacteristic
1290C4×D4C23×C1911yescharacteristic
1291C4×D4C23×C1911yescharacteristic
1292C4×D4C23×C1911yescharacteristic
1293C4×D4C23×C1911yescharacteristic
1294C4×D4C23×C1911yescharacteristic
1295#117—21no—
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117C23×C1911yescharacteristic
1301#117C23×C1911yescharacteristic
1302#117C23×C1911yescharacteristic
1303C2×C4⋊C4—21no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4C23×C1911yescharacteristic
1307C2×C4⋊C4C23×C1911yescharacteristic
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C42C23×C1911yescharacteristic
1316#107C23×C1911yescharacteristic
1317#107C23×C1911yescharacteristic
1318#107C23×C1911yescharacteristic
1319#107C23×C1911yescharacteristic
1320#106C23×C1911yescharacteristic
1321#106C23×C1911yescharacteristic
1322#106C23×C1911yescharacteristic
1323#106C23×C1911yescharacteristic
1324C4⋊C8C23×C1911yescharacteristic
1325C4⋊C8C23×C1911yescharacteristic
1326C4⋊C8C23×C1911yescharacteristic
1327C4⋊C8C23×C1911yescharacteristic
1328C4⋊C8C23×C1911yescharacteristic
1329C4⋊C8C23×C1911yescharacteristic
1330C4⋊C8C23×C1911yescharacteristic
1331C4⋊C8C23×C1911yescharacteristic
1332C4⋊C8C23×C1911yescharacteristic
1333C4⋊C8C23×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#103C23×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
1359#102C23×C1911yescharacteristic
1360#102C23×C1911yescharacteristic
1361#102C23×C1911yescharacteristic
1362#102C23×C1911yescharacteristic
1363#102C23×C1911yescharacteristic
1364#102C23×C1911yescharacteristic
1365#102C23×C1911yescharacteristic
1366C22⋊C8C23×C1911yescharacteristic
1367C22⋊C8C23×C1911yescharacteristic
1368C22⋊C8C23×C1911yescharacteristic
1369C22⋊C8C23×C1911yescharacteristic
1370C22⋊C8C23×C1911yescharacteristic
1371C22⋊C8C23×C1911yescharacteristic
1372#97C23×C1911yescharacteristic
1373#97C23×C1911yescharacteristic
1374C4×C8C23×C1911yescharacteristic
1375C4×C8C23×C1911yescharacteristic
1376C4×C8C23×C1911yescharacteristic
1377C4×C8C23×C1911yescharacteristic
1378C19#6202711yescharacteristic, direct product factor, Sylow
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8C2×D4×C1911yescharacteristic
1398C2×Q8C24×C1911yescharacteristic
1399C2×Q8C24×C1911yescharacteristic
1400C2×Q8C24×C1911yescharacteristic
1401C2×Q8C24×C1911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
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—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—82no—
1430C2×D4C2×D4×C1911yescharacteristic
1431C2×D4C2×D4×C1911yescharacteristic
1432C2×D4C2×D4×C1911yescharacteristic
1433C2×D4C24×C1911yescharacteristic
1434C2×D4C24×C1911yescharacteristic
1435C2×D4C24×C1911yescharacteristic
1436C2×D4C24×C1911yescharacteristic
1437C2×D4C24×C1911yescharacteristic
1438C2×D4C24×C1911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—82no—
1459C22×C4C2×D4×C1911yescharacteristic
1460C22×C4C2×D4×C1911yescharacteristic
1461C22×C4C24×C1911yescharacteristic
1462C22×C4C24×C1911yescharacteristic
1463C22×C4C24×C1911yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—22no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479D8—22no—
1480D8—22no—
1481D8—22no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C1911yescharacteristic
1495C2×C8C24×C1911yescharacteristic
1496C2×C8C24×C1911yescharacteristic
1497C2×C8C24×C1911yescharacteristic
1498C2×C8C24×C1911yescharacteristic
1499C2×C8C24×C1911yescharacteristic
1500C2×C8C24×C1911yescharacteristic
1501C2×C8C24×C1911yescharacteristic
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⋊C4—21no—
1525C4⋊C4C2×D4×C1911yescharacteristic
1526C4⋊C4C2×D4×C1911yescharacteristic
1527C4⋊C4C2×D4×C1911yescharacteristic
1528C4⋊C4C2×D4×C1911yescharacteristic
1529C4⋊C4C2×D4×C1911yescharacteristic
1530C4⋊C4C2×D4×C1911yescharacteristic
1531C4⋊C4C2×D4×C1911yescharacteristic
1532C4⋊C4C2×D4×C1911yescharacteristic
1533C4⋊C4C2×D4×C1911yescharacteristic
1534C4⋊C4C2×D4×C1911yescharacteristic
1535C4⋊C4C24×C1911yescharacteristic
1536C4⋊C4C24×C1911yescharacteristic
1537C4⋊C4C24×C1911yescharacteristic
1538C4⋊C4C24×C1911yescharacteristic
1539C4⋊C4C24×C1911yescharacteristic
1540C4⋊C4C24×C1911yescharacteristic
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⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4C2×D4×C1911yescharacteristic
1580C22⋊C4C2×D4×C1911yescharacteristic
1581C22⋊C4C2×D4×C1911yescharacteristic
1582C22⋊C4C2×D4×C1911yescharacteristic
1583C22⋊C4C2×D4×C1911yescharacteristic
1584C22⋊C4C2×D4×C1911yescharacteristic
1585C22⋊C4C2×D4×C1911yescharacteristic
1586C22⋊C4C2×D4×C1911yescharacteristic
1587C22⋊C4C2×D4×C1911yescharacteristic
1588C22⋊C4C2×D4×C1911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C1911yescharacteristic
1596C42C2×D4×C1911yescharacteristic
1597C42C24×C1911yescharacteristic
1598C42C24×C1911yescharacteristic
1599C42C24×C1911yescharacteristic
1600C42C24×C1911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C1911yescharacteristic
1617C23C22×D4×C1911yescharacteristic
1618C23C22×D4×C1911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—41no—
1628Q8—81no—
1629Q8—81no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4C19×H(5,𝔽2)12yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—42no—
1685C2×C4—42no—
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×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C1911yescharacteristic
1704C2×C4C22×D4×C1911yescharacteristic
1705C2×C4C22×D4×C1911yescharacteristic
1706C2×C4C22×D4×C1911yescharacteristic
1707C2×C4C22×D4×C1911yescharacteristic
1708C2×C4C22×D4×C1911yescharacteristic
1709C2×C4C22×D4×C1911yescharacteristic
1710C2×C4C22×D4×C1911yescharacteristic
1711C2×C4C22×D4×C1911yescharacteristic
1712C2×C4C22×D4×C1911yescharacteristic
1713C2×C4C22×D4×C1911yescharacteristic
1714C2×C4C25×C1911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—84no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C1911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×C19×H(5,𝔽2)11yescharacteristic
1776C4C19×#58511yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C19×#348811yescharacteristic
1787C2C19×#358411yescharacteristic
1788C2C19×#358511yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3562C2semidirect
2. C19×#3513C2semidirect
3. C19×#3401C2semidirect
4. C19×#3396C2semidirect
5. C19×#3370C2semidirect
6. C19×#3360C2semidirect
7. C19×#3330C2semidirect
8. C19×#3327C2semidirect
9. C19×#3326C2semidirect
10. C19×#3317C2semidirect
11. C19×#3306C2semidirect
12. C19×#3297C2semidirect
13. C19×#3282C2semidirect
14. C19×#3274C2semidirect
15. C19×#3273C2semidirect
16. C19×#3273C2semidirect
17. C19×#3267C2semidirect
18. C19×#3265C2semidirect
19. C19×#3260C2semidirect
20. C19×#3257C2semidirect
21. C19×#3256C2semidirect
22. C19×#3225C2semidirect
23. C19×#3220C2semidirect
24. C19×#3212C2semidirect
25. C19×#3122C2semidirect
26. C19×#3120C2semidirect
27. C19×#3105C2semidirect
28. C19×#3045C2semidirect
29. C19×#3042C2semidirect
30. C19×#3036C2semidirect
31. C19×#2993C2semidirect
35. C2×C19×AGL(1,ℤ/8)C22semidirect
37. C22×SD16×C19C22semidirect
40. C19×#559C22semidirect
41. C19×#559C22semidirect
42. C19×#556C22semidirect
43. C19×#554C22semidirect
47. C19×#552C22semidirect
53. C19×#548C22semidirect
55. C19×#547C22semidirect
59. C19×#546C22semidirect
60. C19×#546C22semidirect
61. D42×C19C22semidirect
62. C19×#542C22semidirect
63. C19×#541C22semidirect
66. C19×#540C22semidirect
72. C19×#536C22semidirect
73. C19×#535C22semidirect
74. C19×#532C22semidirect
76. C19×#529C22semidirect
77. C19×#529C22semidirect
81. C19×#518C22semidirect
82. C2×C4×D4×C19C22semidirect
83. C19×#497C22semidirect
85. C19×#495C22semidirect
86. C19×#495C22semidirect
87. C19×#495C22semidirect
89. C19×#490C22semidirect
90. C19×#489C22semidirect
91. C19×#488C22semidirect
92. C19×#488C22semidirect
93. C19×#488C22semidirect
94. C19×#487C22semidirect
95. C19×#484C22semidirect
96. C19×#484C22semidirect
97. C19×#483C22semidirect
98. C19×#482C22semidirect
99. C19×#482C22semidirect
100. C19×#481C22semidirect
101. C19×#479C22semidirect
102. C19×#479C22semidirect
103. C19×#479C22semidirect
104. C19×#479C22semidirect
105. C19×#478C22semidirect
106. C19×#478C22semidirect
107. C19×#478C22semidirect
108. C19×#478C22semidirect
109. C19×#476C22semidirect
110. C19×#474C22semidirect
111. C19×#470C22semidirect
113. C19×#469C22semidirect
114. C19×#468C22semidirect
115. C19×#468C22semidirect
116. C19×#468C22semidirect
117. C19×#468C22semidirect
118. C19×#468C22semidirect
120. C19×#465C22semidirect
121. C19×#465C22semidirect
122. C19×#465C22semidirect
123. C19×#464C22semidirect
124. C19×#464C22semidirect
125. C19×#464C22semidirect
130. C19×#463C22semidirect
131. C19×#463C22semidirect
132. C19×#463C22semidirect
133. C19×#463C22semidirect
134. C19×#463C22semidirect
135. C19×#463C22semidirect
136. C19×#463C22semidirect
137. C19×#463C22semidirect
138. C19×#463C22semidirect
139. C19×#462C22semidirect
140. C19×#461C22semidirect
141. C19×#461C22semidirect
142. C19×#461C22semidirect
143. C19×#461C22semidirect
144. C19×#461C22semidirect
145. C19×#460C22semidirect
146. C19×#460C22semidirect
147. C19×#460C22semidirect
148. C19×#460C22semidirect
151. C19×#459C22semidirect
152. C19×#459C22semidirect
155. C19×#452C22semidirect
156. C19×#452C22semidirect
157. C19×#452C22semidirect
158. C19×#451C22semidirect
159. C19×#450C22semidirect
162. C19×#449C22semidirect
163. C19×#449C22semidirect
164. C19×#449C22semidirect
165. C19×#448C22semidirect
168. C19×#447C22semidirect
169. C19×#447C22semidirect
170. C19×#447C22semidirect
171. C19×#446C22semidirect
172. C8×Q8×C19C22semidirect
173. C19×#442C22semidirect
174. C19×#442C22semidirect
175. C19×#441C22semidirect
176. C19×#440C22semidirect
177. C4×Q16×C19C22semidirect
178. C4×SD16×C19C22semidirect
179. C4×SD16×C19C22semidirect
180. C4×SD16×C19C22semidirect
183. C4×D8×C19C22semidirect
184. C4×D8×C19C22semidirect
185. C19×#436C22semidirect
186. C19×#436C22semidirect
187. C19×#436C22semidirect
188. C19×#435C22semidirect
189. C19×#435C22semidirect
190. C8×D4×C19C22semidirect
191. C19×#433C22semidirect
192. C19×#433C22semidirect
193. C19×#431C22semidirect
194. C19×#424C22semidirect
195. C19×#424C22semidirect
196. C19×#423C22semidirect
197. C19×#419C22semidirect
198. C19×#417C22semidirect
199. C19×#417C22semidirect
200. C19×#417C22semidirect
201. C19×#416C22semidirect
202. C2×C19×#102C22semidirect
706. #62027C19direct (N × H)
829. #3562C2×C19semidirect
830. #3513C2×C19semidirect
831. #3401C2×C19semidirect
832. #3396C2×C19semidirect
833. #3370C2×C19semidirect
834. #3360C2×C19semidirect
835. #3330C2×C19semidirect
836. #3327C2×C19semidirect
837. #3326C2×C19semidirect
838. #3317C2×C19semidirect
839. #3306C2×C19semidirect
840. #3297C2×C19semidirect
841. #3282C2×C19semidirect
842. #3274C2×C19semidirect
843. #3273C2×C19semidirect
844. #3273C2×C19semidirect
845. #3267C2×C19semidirect
846. #3265C2×C19semidirect
847. #3260C2×C19semidirect
848. #3257C2×C19semidirect
849. #3256C2×C19semidirect
850. #3225C2×C19semidirect
851. #3220C2×C19semidirect
852. #3212C2×C19semidirect
853. #3122C2×C19semidirect
854. #3120C2×C19semidirect
855. #3105C2×C19semidirect
856. #3045C2×C19semidirect
857. #3042C2×C19semidirect
858. #3036C2×C19semidirect
859. #2993C2×C19semidirect
917. C2×AGL(1,ℤ/8)C22×C19semidirect
919. C22×SD16C22×C19semidirect
922. #559C22×C19semidirect
923. #559C22×C19semidirect
924. #556C22×C19semidirect
925. #554C22×C19semidirect
929. #552C22×C19semidirect
935. #548C22×C19semidirect
937. #547C22×C19semidirect
941. #546C22×C19semidirect
942. #546C22×C19semidirect
943. D42C22×C19semidirect
944. #542C22×C19semidirect
945. #541C22×C19semidirect
948. #540C22×C19semidirect
954. #536C22×C19semidirect
955. #535C22×C19semidirect
956. #532C22×C19semidirect
958. #529C22×C19semidirect
959. #529C22×C19semidirect
963. #518C22×C19semidirect
964. C2×C4×D4C22×C19semidirect
965. #497C22×C19semidirect
967. #495C22×C19semidirect
968. #495C22×C19semidirect
969. #495C22×C19semidirect
971. #490C22×C19semidirect
972. #489C22×C19semidirect
973. #488C22×C19semidirect
974. #488C22×C19semidirect
975. #488C22×C19semidirect
976. #487C22×C19semidirect
977. #484C22×C19semidirect
978. #484C22×C19semidirect
979. #483C22×C19semidirect
980. #482C22×C19semidirect
981. #482C22×C19semidirect
982. #481C22×C19semidirect
983. #479C22×C19semidirect
984. #479C22×C19semidirect
985. #479C22×C19semidirect
986. #479C22×C19semidirect
987. #478C22×C19semidirect
988. #478C22×C19semidirect
989. #478C22×C19semidirect
990. #478C22×C19semidirect
991. #476C22×C19semidirect
992. #474C22×C19semidirect
993. #470C22×C19semidirect
995. #469C22×C19semidirect
996. #468C22×C19semidirect
997. #468C22×C19semidirect
998. #468C22×C19semidirect
999. #468C22×C19semidirect
1000. #468C22×C19semidirect
1002. #465C22×C19semidirect
1003. #465C22×C19semidirect
1004. #465C22×C19semidirect
1005. #464C22×C19semidirect
1006. #464C22×C19semidirect
1007. #464C22×C19semidirect
1012. #463C22×C19semidirect
1013. #463C22×C19semidirect
1014. #463C22×C19semidirect
1015. #463C22×C19semidirect
1016. #463C22×C19semidirect
1017. #463C22×C19semidirect
1018. #463C22×C19semidirect
1019. #463C22×C19semidirect
1020. #463C22×C19semidirect
1021. #462C22×C19semidirect
1022. #461C22×C19semidirect
1023. #461C22×C19semidirect
1024. #461C22×C19semidirect
1025. #461C22×C19semidirect
1026. #461C22×C19semidirect
1027. #460C22×C19semidirect
1028. #460C22×C19semidirect
1029. #460C22×C19semidirect
1030. #460C22×C19semidirect
1033. #459C22×C19semidirect
1034. #459C22×C19semidirect
1037. #452C22×C19semidirect
1038. #452C22×C19semidirect
1039. #452C22×C19semidirect
1040. #451C22×C19semidirect
1041. #450C22×C19semidirect
1044. #449C22×C19semidirect
1045. #449C22×C19semidirect
1046. #449C22×C19semidirect
1047. #448C22×C19semidirect
1050. #447C22×C19semidirect
1051. #447C22×C19semidirect
1052. #447C22×C19semidirect
1053. #446C22×C19semidirect
1054. C8×Q8C22×C19semidirect
1055. #442C22×C19semidirect
1056. #442C22×C19semidirect
1057. #441C22×C19semidirect
1058. #440C22×C19semidirect
1059. C4×Q16C22×C19semidirect
1060. C4×SD16C22×C19semidirect
1061. C4×SD16C22×C19semidirect
1062. C4×SD16C22×C19semidirect
1065. C4×D8C22×C19semidirect
1066. C4×D8C22×C19semidirect
1067. #436C22×C19semidirect
1068. #436C22×C19semidirect
1069. #436C22×C19semidirect
1070. #435C22×C19semidirect
1071. #435C22×C19semidirect
1072. C8×D4C22×C19semidirect
1073. #433C22×C19semidirect
1074. #433C22×C19semidirect
1075. #431C22×C19semidirect
1076. #424C22×C19semidirect
1077. #424C22×C19semidirect
1078. #423C22×C19semidirect
1079. #419C22×C19semidirect
1080. #417C22×C19semidirect
1081. #417C22×C19semidirect
1082. #417C22×C19semidirect
1083. #416C22×C19semidirect
1084. C2×#102C22×C19semidirect
1378. C19#62027direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35622
C19×#35132
C19×#34012
C19×#33962
C19×#33702
C19×#33602
C19×#33302
C19×#33272
C19×#33262
C19×#33172
C19×#33062
C19×#32972
C19×#32822
C19×#32742
C19×#32732
C19×#32672
C19×#32652
C19×#32602
C19×#32572
C19×#32562
C19×#32252
C19×#32202
C19×#32122
C19×#31222
C19×#31202
C19×#31052
C19×#30452
C19×#30422
C19×#30362
C19×#29932
#6202719