Finite Group Databasebeta

← C19×#62315 #18068274

Subgroups — C19×#62315 #18068274

Order 4864.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3542C211yesmaximal, characteristic, complemented
2C19×#3537C211yesmaximal, characteristic, complemented
3C19×#3355C211yesmaximal, characteristic, complemented
4C19×#3347C211yesmaximal, characteristic, complemented
5C19×#3345C211yesmaximal, characteristic, complemented
6C19×#3337C211yesmaximal, characteristic, complemented
7C19×#3325C211yesmaximal, characteristic, complemented
8C19×#3322C211yesmaximal, characteristic, complemented
9C19×#3318C211yesmaximal, characteristic, complemented
10C19×#3318C211yesmaximal, characteristic, complemented
11C19×#3310C211yesmaximal, characteristic, complemented
12C19×#3309C211yesmaximal, characteristic, complemented
13C19×#3297C211yesmaximal, characteristic, complemented
14C19×#3294C211yesmaximal, characteristic, complemented
15D4×D8×C19C211yesmaximal, characteristic, complemented
16C19×#3274C211yesmaximal, characteristic, complemented
17C19×#3264C211yesmaximal, characteristic, complemented
18C19×#3264C211yesmaximal, characteristic, complemented
19C19×#3259C211yesmaximal, characteristic, complemented
20C19×#3257C211yesmaximal, characteristic, complemented
21C19×#3199C211yesmaximal, characteristic, complemented
22C19×#3198C211yesmaximal, characteristic, complemented
23C19×#3188C211yesmaximal, characteristic, complemented
24C19×#3186C211yesmaximal, characteristic, complemented
25C19×#3179C211yesmaximal, characteristic, complemented
26C19×#3176C211yesmaximal, characteristic, complemented
27C19×#3062C211yesmaximal, characteristic, complemented
28C19×#3058C211yesmaximal, characteristic, complemented
29C19×#3055C211yesmaximal, characteristic, complemented
30C2×C19×#469C211yesmaximal, characteristic, complemented
31C19×#2933C211yesmaximal, characteristic, complemented
32C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×D8×C19C2211yescharacteristic, complemented
35C22×D8×C19C2211yescharacteristic, complemented
36C2×C19×#131C2211yescharacteristic, complemented
37C22×M16×C19C2211yescharacteristic, complemented
38C19×#562—21no—
39C19×#560—21no—
40C19×#560—21no—
41C19×#560—21no—
42C19×#555C2211yescharacteristic, complemented
43C19×#553C2211yescharacteristic
44C19×#553C2211yescharacteristic, complemented
45C19×#553C2211yescharacteristic, complemented
46C19×#553C2211yescharacteristic, complemented
47C19×#553C2211yescharacteristic, complemented
48C19×#552C2211yescharacteristic, complemented
49C19×#551—21no—
50C19×#550C2211yescharacteristic, complemented
51C19×#547C2211yescharacteristic, complemented
52C19×#546—21no—
53C19×#546C2211yescharacteristic, complemented
54C19×#546C2211yescharacteristic, complemented
55D42×C19—21no—
56D42×C19—21no—
57D42×C19C2211yescharacteristic
58D42×C19C2211yescharacteristic, complemented
59D42×C19C2211yescharacteristic, complemented
60D42×C19C2211yescharacteristic, complemented
61D42×C19C2211yescharacteristic, complemented
62C19×#542C2211yescharacteristic, complemented
63C19×#540—21no—
64C19×#540C2211yescharacteristic, complemented
65C19×#540C2211yescharacteristic, complemented
66C19×#540C2211yescharacteristic, complemented
67C19×#538—21no—
68C19×#538—21no—
69C19×#538—21no—
70C19×#537C2211yescharacteristic, complemented
71C19×#535—21no—
72C19×#535C2211yescharacteristic, complemented
73C19×#535C2211yescharacteristic, complemented
74C19×#535C2211yescharacteristic, complemented
75C19×#534—21no—
76C19×#534—21no—
77C19×#534—21no—
78C19×#525C2211yescharacteristic
79C19×#525C2211yescharacteristic, complemented
80C2×C19×#121C2211yescharacteristic, complemented
81C2×C19×#121C2211yescharacteristic, complemented
82C2×C19×#121C2211yescharacteristic, complemented
83C19×#501C2211yescharacteristic, complemented
84C19×#499C2211yescharacteristic, complemented
85C19×#496C2211yescharacteristic, complemented
86C19×#493C2211yescharacteristic, complemented
87C19×#490C2211yescharacteristic, complemented
88C19×#490C2211yescharacteristic, complemented
89C19×#488C2211yescharacteristic, complemented
90C19×#486C2211yescharacteristic, complemented
91C19×#485C2211yescharacteristic, complemented
92C19×#484C2211yescharacteristic, complemented
93C19×#482C2211yescharacteristic, complemented
94C19×#482C2211yescharacteristic, complemented
95C19×#482C2211yescharacteristic, complemented
96C19×#482C2211yescharacteristic, complemented
97C19×#482C2211yescharacteristic, complemented
98C19×#482C2211yescharacteristic, complemented
99C19×#482C2211yescharacteristic, complemented
100C19×#481C2211yescharacteristic, complemented
101C19×#481C2211yescharacteristic, complemented
102C19×#480C2211yescharacteristic, complemented
103C19×#480C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, complemented
105C19×#480C2211yescharacteristic, complemented
106C19×#480C2211yescharacteristic, complemented
107C19×#479C2211yescharacteristic, complemented
108C19×#478C2211yescharacteristic, complemented
109C19×#478C2211yescharacteristic, complemented
110C19×#478C2211yescharacteristic, complemented
111C19×#478C2211yescharacteristic, complemented
112C19×#478C2211yescharacteristic, complemented
113C19×#476C2211yescharacteristic, complemented
114C19×#474C2211yescharacteristic, complemented
115C19×#469C2211yescharacteristic, complemented
116C19×#469C2211yescharacteristic, complemented
117C19×#469C2211yescharacteristic, complemented
118C19×#469C2211yescharacteristic, complemented
119C19×#469C2211yescharacteristic, complemented
120C19×#469C2211yescharacteristic, complemented
121C19×#469C2211yescharacteristic, complemented
122C19×#469C2211yescharacteristic, complemented
123C19×#469C2211yescharacteristic, complemented
124C19×#469C2211yescharacteristic, complemented
125C19×#469C2211yescharacteristic, complemented
126C19×#469C2211yescharacteristic, complemented
127C19×#469C2211yescharacteristic, complemented
128C19×#468C2211yescharacteristic, complemented
129C19×#468C2211yescharacteristic, complemented
130C19×#468C2211yescharacteristic, complemented
131C19×#466C2211yescharacteristic, complemented
132C19×#466C2211yescharacteristic, complemented
133C19×#466C2211yescharacteristic, complemented
134C19×#466C2211yescharacteristic, complemented
135C19×#466C2211yescharacteristic, complemented
136C19×#466C2211yescharacteristic, complemented
137C19×#466C2211yescharacteristic, complemented
138C19×#466C2211yescharacteristic, complemented
139C19×#466C2211yescharacteristic, complemented
140C19×#466C2211yescharacteristic, complemented
141C19×#466C2211yescharacteristic, complemented
142C19×#465C2211yescharacteristic, complemented
143C19×#465C2211yescharacteristic, complemented
144C19×#465C2211yescharacteristic, complemented
145C19×#465C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic, complemented
147C19×#463C2211yescharacteristic, complemented
148C19×#463C2211yescharacteristic, complemented
149C19×#460C2211yescharacteristic, complemented
150C19×#459C2211yescharacteristic, complemented
151C19×#459C2211yescharacteristic, complemented
152C19×#459C2211yescharacteristic, complemented
153C19×#459C2211yescharacteristic, complemented
154C19×#459C2211yescharacteristic, complemented
155C19×#450C2211yescharacteristic, complemented
156C19×#450C2211yescharacteristic, complemented
157C19×#449C2211yescharacteristic, complemented
158C19×#449C2211yescharacteristic, complemented
159C19×#449C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic, complemented
161C19×#447C2211yescharacteristic, complemented
162C19×#447C2211yescharacteristic, complemented
163C19×#447C2211yescharacteristic, complemented
164C19×#447C2211yescharacteristic, complemented
165C19×#447C2211yescharacteristic, complemented
166C19×#447C2211yescharacteristic, complemented
167C19×#447C2211yescharacteristic, complemented
168C19×#447C2211yescharacteristic, complemented
169C19×#447C2211yescharacteristic, complemented
170C19×#447C2211yescharacteristic, complemented
171C19×#442C2211yescharacteristic, complemented
172C19×#442C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic, complemented
174C19×#440C2211yescharacteristic, complemented
175C4×SD16×C19C2211yescharacteristic, complemented
176C4×D8×C19C2211yescharacteristic, complemented
177C4×D8×C19C2211yescharacteristic, complemented
178C4×D8×C19C2211yescharacteristic, complemented
179C19×#436C2211yescharacteristic, complemented
180C19×#436C2211yescharacteristic, complemented
181C19×#435C2211yescharacteristic, complemented
182C19×#435C2211yescharacteristic, complemented
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×#424C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic, complemented
193C19×#418C2211yescharacteristic, complemented
194C19×#418C2211yescharacteristic, complemented
195C19×#417C2211yescharacteristic, complemented
196C19×#416C2211yescharacteristic, complemented
197C2×C19×#102C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic, complemented
199C2×C19×#102C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C2×C19×C22⋊C8C2211yescharacteristic, complemented
202C19×#405C2211yescharacteristic, complemented
203C2×#41×C19—21no—
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C22×D4×C19—21no—
208C22×D4×C19—21no—
209C22×D4×C19—21no—
210C22×D4×C19—21no—
211C22×D4×C19—21no—
212C22×D4×C19—21no—
213C22×D4×C19—21no—
214C22×D4×C19—21no—
215C22×D4×C19C2311yescharacteristic
216C22×D4×C19C2311yescharacteristic
217C22×D4×C19C2311yescharacteristic
218C22×D4×C19C2311yescharacteristic
219C22×D4×C19C2311yescharacteristic
220C22×D4×C19C2311yescharacteristic
221C23×C4×C19C2311yescharacteristic
222C19×AGL(1,ℤ/8)—42no—
223C19×AGL(1,ℤ/8)—42no—
224C2×SD16×C19C2311yescharacteristic
225C2×SD16×C19C2311yescharacteristic
226C2×SD16×C19C2311yescharacteristic
227C2×SD16×C19C2311yescharacteristic
228C2×D8×C19—42no—
229C2×D8×C19—42no—
230C2×D8×C19C2311yescharacteristic
231C2×D8×C19C2311yescharacteristic
232C2×D8×C19C2311yescharacteristic
233C2×D8×C19C2311yescharacteristic
234C2×D8×C19C2311yescharacteristic
235C2×D8×C19C2311yescharacteristic
236C2×D8×C19C2311yescharacteristic
237C2×D8×C19C2311yescharacteristic
238C2×D8×C19C2311yescharacteristic
239C2×D8×C19C2311yescharacteristic
240C2×D8×C19C2311yescharacteristic
241C2×D8×C19C2311yescharacteristic
242C19×#131—42no—
243C2×M16×C19—42no—
244C2×M16×C19C2311yescharacteristic
245C2×M16×C19C2311yescharacteristic
246C2×M16×C19C2311yescharacteristic
247C2×M16×C19C2311yescharacteristic
248C2×M16×C19C2311yescharacteristic
249C2×M16×C19C2311yescharacteristic
250C22×C8×C19C2311yescharacteristic
251C22×C8×C19C2311yescharacteristic
252C22×C8×C19C2311yescharacteristic
253C22×C8×C19C2311yescharacteristic
254C22×C8×C19C2311yescharacteristic
255C22×C8×C19C2311yescharacteristic
256C19×C4⋊Q8C2311yescharacteristic
257C19×#127—21no—
258C19×#127—21no—
259C19×#127—21no—
260C19×#127—21no—
261C19×#127C2311yescharacteristic
262C19×#127C2311yescharacteristic
263C19×#127C2311yescharacteristic
264C19×#126—21no—
265C19×#126—21no—
266C19×#126—21no—
267C19×#126—21no—
268C19×#126—21no—
269C19×#126—21no—
270C19×#126—21no—
271C19×#125—21no—
272C19×#125C2311yescharacteristic
273C19×#125C2311yescharacteristic
274C19×#125C2311yescharacteristic
275C19×#124—21no—
276C19×#124—21no—
277C19×#124—21no—
278C19×#124—21no—
279C19×#124—21no—
280C19×#124—21no—
281C19×#124C2311yescharacteristic
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×#123—21no—
300C19×#123D411yescharacteristic
301C19×#123D411yescharacteristic
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8D411yescharacteristic
306C19×C22⋊Q8D411yescharacteristic
307C19×C22⋊Q8C2311yescharacteristic
308C19×C22⋊Q8C2311yescharacteristic
309C19×C22⋊Q8C2311yescharacteristic
310C19×#121—21no—
311C19×#121—21no—
312C19×#121—21no—
313C19×#121—21no—
314C19×#121—21no—
315C19×#121—21no—
316C19×#121—21no—
317C19×#121—21no—
318C19×#121—21no—
319C19×#121—21no—
320C19×#121—21no—
321C19×#121—21no—
322C19×#121—21no—
323C19×#121—21no—
324C19×#121—21no—
325C19×#121—21no—
326C19×#121—21no—
327C19×#121—21no—
328C19×#121—21no—
329C19×#121—21no—
330C19×#121—21no—
331C19×#121—21no—
332C19×#121—21no—
333C19×#121—21no—
334C19×#121—21no—
335C19×#121—21no—
336C19×#121—21no—
337C19×#121—21no—
338C19×#121—21no—
339C19×#121—21no—
340C19×#121D411yescharacteristic
341C19×#121D411yescharacteristic
342C19×#121C2311yescharacteristic
343C19×#121C2311yescharacteristic
344C19×#121C2311yescharacteristic
345C19×#121C2311yescharacteristic
346C19×#121C2311yescharacteristic
347C19×#121C2311yescharacteristic
348C19×#121C2311yescharacteristic
349C19×#121C2311yescharacteristic
350C19×#121C2311yescharacteristic
351C19×#121C2311yescharacteristic
352C19×#121C2311yescharacteristic
353C19×#121C2311yescharacteristic
354C19×#121C2311yescharacteristic
355C19×#121C2311yescharacteristic
356C19×#121C2311yescharacteristic
357C19×#121C2311yescharacteristic
358C19×#121C2311yescharacteristic
359C19×#121C2311yescharacteristic
360C19×#121C2311yescharacteristic
361C19×#121C2311yescharacteristic
362C19×#121C2311yescharacteristic
363C19×#120—21no—
364C19×#120—21no—
365C19×#120—21no—
366C19×#120—21no—
367C19×#120—21no—
368C19×#120—21no—
369C19×#120—21no—
370C19×#120—21no—
371C19×#120—21no—
372C19×#120—21no—
373C19×#120—21no—
374C19×#120—21no—
375C19×#120—21no—
376C19×#120—21no—
377C19×#120—21no—
378C19×#120—21no—
379C19×#120—21no—
380C19×#120—21no—
381C19×#120—21no—
382C19×#120D411yescharacteristic
383C19×#120D411yescharacteristic
384C4×Q8×C19C2311yescharacteristic
385C4×D4×C19—21no—
386C4×D4×C19—21no—
387C4×D4×C19—21no—
388C4×D4×C19—21no—
389C4×D4×C19—21no—
390C4×D4×C19—21no—
391C4×D4×C19—21no—
392C4×D4×C19—21no—
393C4×D4×C19C2311yescharacteristic
394C4×D4×C19C2311yescharacteristic
395C4×D4×C19C2311yescharacteristic
396C4×D4×C19C2311yescharacteristic
397C4×D4×C19C2311yescharacteristic
398C4×D4×C19C2311yescharacteristic
399C4×D4×C19C2311yescharacteristic
400C4×D4×C19C2311yescharacteristic
401C4×D4×C19C2311yescharacteristic
402C4×D4×C19C2311yescharacteristic
403C4×D4×C19C2311yescharacteristic
404C19×#117—21no—
405C19×#117—21no—
406C19×#117C2311yescharacteristic
407C19×#117C2311yescharacteristic
408C19×#117C2311yescharacteristic
409C19×#117C2311yescharacteristic
410C19×#117C2311yescharacteristic
411C2×C4⋊C4×C19C2311yescharacteristic
412C2×C4⋊C4×C19C2311yescharacteristic
413C2×C4⋊C4×C19C2311yescharacteristic
414C2×C4⋊C4×C19C2311yescharacteristic
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—
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×#102C2311yescharacteristic
445C19×#102C2311yescharacteristic
446C19×#102C2311yescharacteristic
447C19×#102C2311yescharacteristic
448C19×#102C2311yescharacteristic
449C19×#102C2311yescharacteristic
450C19×#102C2311yescharacteristic
451C19×#102C2311yescharacteristic
452C19×#102C2311yescharacteristic
453C19×#102C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#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×C19—21no—
486C24×C19—21no—
487C24×C19—21no—
488C24×C19—21no—
489C24×C19—21no—
490C24×C19C2×D411yescharacteristic
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×C19C2×D411yescharacteristic
500C2×Q8×C19C2411yescharacteristic
501C2×D4×C19—21no—
502C2×D4×C19—21no—
503C2×D4×C19—21no—
504C2×D4×C19—21no—
505C2×D4×C19—21no—
506C2×D4×C19—21no—
507C2×D4×C19—21no—
508C2×D4×C19—21no—
509C2×D4×C19—21no—
510C2×D4×C19—21no—
511C2×D4×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—21no—
531C2×D4×C19—21no—
532C2×D4×C19—21no—
533C2×D4×C19—21no—
534C2×D4×C19—21no—
535C2×D4×C19—21no—
536C2×D4×C19—41no—
537C2×D4×C19—41no—
538C2×D4×C19—41no—
539C2×D4×C19—41no—
540C2×D4×C19—41no—
541C2×D4×C19—41no—
542C2×D4×C19—41no—
543C2×D4×C19—41no—
544C2×D4×C19—41no—
545C2×D4×C19—41no—
546C2×D4×C19—41no—
547C2×D4×C19—41no—
548C2×D4×C19—82no—
549C2×D4×C19—82no—
550C2×D4×C19—82no—
551C2×D4×C19—82no—
552C2×D4×C19—82no—
553C2×D4×C19—82no—
554C2×D4×C19—82no—
555C2×D4×C19—82no—
556C2×D4×C19C2×D411yescharacteristic
557C2×D4×C19C2×D411yescharacteristic
558C2×D4×C19C2×D411yescharacteristic
559C2×D4×C19C2×D411yescharacteristic
560C2×D4×C19C2×D411yescharacteristic
561C2×D4×C19C2×D411yescharacteristic
562C2×D4×C19C2×D411yescharacteristic
563C2×D4×C19C2411yescharacteristic
564C2×D4×C19C2411yescharacteristic
565C2×D4×C19C2411yescharacteristic
566C2×D4×C19C2411yescharacteristic
567C2×D4×C19C2411yescharacteristic
568C2×D4×C19C2411yescharacteristic
569C2×D4×C19C2411yescharacteristic
570C22×C4×C19—21no—
571C22×C4×C19—21no—
572C22×C4×C19—21no—
573C22×C4×C19—21no—
574C22×C4×C19—21no—
575C22×C4×C19—21no—
576C22×C4×C19—21no—
577C22×C4×C19—21no—
578C22×C4×C19—21no—
579C22×C4×C19—21no—
580C22×C4×C19—21no—
581C22×C4×C19—21no—
582C22×C4×C19—21no—
583C22×C4×C19—41no—
584C22×C4×C19—41no—
585C22×C4×C19C2×D411yescharacteristic
586C22×C4×C19C2×D411yescharacteristic
587C22×C4×C19C2×D411yescharacteristic
588C22×C4×C19C2411yescharacteristic
589C22×C4×C19C2411yescharacteristic
590C22×C4×C19C2411yescharacteristic
591C22×C4×C19C2411yescharacteristic
592C22×C4×C19C2411yescharacteristic
593SD16×C19—22no—
594SD16×C19—41no—
595SD16×C19—41no—
596SD16×C19—41no—
597D8×C19—22no—
598D8×C19—22no—
599D8×C19—22no—
600D8×C19—41no—
601D8×C19—41no—
602D8×C19—41no—
603D8×C19—41no—
604D8×C19—41no—
605D8×C19—41no—
606D8×C19—41no—
607D8×C19—41no—
608D8×C19—41no—
609M16×C19—22no—
610M16×C19—22no—
611M16×C19—22no—
612M16×C19—41no—
613M16×C19—41no—
614M16×C19—41no—
615C2×C8×C19—22no—
616C2×C8×C19—22no—
617C2×C8×C19—41no—
618C2×C8×C19—41no—
619C2×C8×C19—41no—
620C2×C8×C19—41no—
621C2×C8×C19C2411yescharacteristic
622C2×C8×C19C2411yescharacteristic
623C2×C8×C19C2411yescharacteristic
624C2×C8×C19C2411yescharacteristic
625C2×C8×C19C2411yescharacteristic
626C2×C8×C19C2411yescharacteristic
627C2×C8×C19C2411yescharacteristic
628C2×C8×C19C2411yescharacteristic
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×C19—21no—
637C4⋊C4×C19—21no—
638C4⋊C4×C19—21no—
639C4⋊C4×C19—21no—
640C4⋊C4×C19—21no—
641C4⋊C4×C19—21no—
642C4⋊C4×C19—21no—
643C4⋊C4×C19—21no—
644C4⋊C4×C19C2×D411yescharacteristic
645C4⋊C4×C19C2×D411yescharacteristic
646C4⋊C4×C19C2×D411yescharacteristic
647C4⋊C4×C19C2×D411yescharacteristic
648C4⋊C4×C19C2×D411yescharacteristic
649C4⋊C4×C19C2×D411yescharacteristic
650C4⋊C4×C19C2411yescharacteristic
651C4⋊C4×C19C2411yescharacteristic
652C4⋊C4×C19C2411yescharacteristic
653C4⋊C4×C19C2411yescharacteristic
654C4⋊C4×C19C2411yescharacteristic
655C4⋊C4×C19C2411yescharacteristic
656C4⋊C4×C19C2411yescharacteristic
657C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
686C22⋊C4×C19—21no—
687C22⋊C4×C19—21no—
688C22⋊C4×C19—21no—
689C22⋊C4×C19—21no—
690C22⋊C4×C19—21no—
691C22⋊C4×C19—21no—
692C22⋊C4×C19—21no—
693C22⋊C4×C19—21no—
694C22⋊C4×C19—21no—
695C22⋊C4×C19C2×D411yescharacteristic
696C22⋊C4×C19C2×D411yescharacteristic
697C22⋊C4×C19C2×D411yescharacteristic
698C22⋊C4×C19C2×D411yescharacteristic
699C22⋊C4×C19C2×D411yescharacteristic
700C22⋊C4×C19C2×D411yescharacteristic
701C22⋊C4×C19C2×D411yescharacteristic
702C22⋊C4×C19C2×D411yescharacteristic
703C22⋊C4×C19C2×D411yescharacteristic
704C22⋊C4×C19C2×D411yescharacteristic
705C42×C19—21no—
706C42×C19—21no—
707C42×C19—21no—
708C42×C19—21no—
709C42×C19—21no—
710C42×C19C2411yescharacteristic
711C42×C19C2411yescharacteristic
712#62315C1911yesmaximal, characteristic, direct product factor, Sylow
713C23×C19—22no—
714C23×C19—21no—
715C23×C19—21no—
716C23×C19—21no—
717C23×C19—21no—
718C23×C19—21no—
719C23×C19—21no—
720C23×C19—21no—
721C23×C19—41no—
722C23×C19—41no—
723C23×C19—42no—
724C23×C19—42no—
725C23×C19—42no—
726C23×C19—81no—
727C23×C19—81no—
728C23×C19—81no—
729C23×C19—81no—
730C23×C19—81no—
731C23×C19—81no—
732C23×C19—81no—
733C23×C19—81no—
734C23×C19—81no—
735C23×C19—81no—
736C23×C19—81no—
737C23×C19—81no—
738C23×C19—81no—
739C23×C19—81no—
740C23×C19—81no—
741C23×C19C22×D411yescharacteristic
742C23×C19C22×D411yescharacteristic
743C23×C19C22×D411yescharacteristic
744C23×C19C22×D411yescharacteristic
745C23×C19C22×D411yescharacteristic
746Q8×C19—21no—
747Q8×C19—21no—
748Q8×C19—41no—
749Q8×C19—81no—
750D4×C19—22no—
751D4×C19—22no—
752D4×C19—21no—
753D4×C19—21no—
754D4×C19—21no—
755D4×C19—21no—
756D4×C19—21no—
757D4×C19—21no—
758D4×C19—21no—
759D4×C19—21no—
760D4×C19—21no—
761D4×C19—21no—
762D4×C19—21no—
763D4×C19—21no—
764D4×C19—21no—
765D4×C19—21no—
766D4×C19—41no—
767D4×C19—41no—
768D4×C19—41no—
769D4×C19—41no—
770D4×C19—41no—
771D4×C19—42no—
772D4×C19—42no—
773D4×C19—42no—
774D4×C19—42no—
775D4×C19—42no—
776D4×C19—81no—
777D4×C19—81no—
778D4×C19—81no—
779D4×C19—81no—
780D4×C19—81no—
781D4×C19—81no—
782D4×C19—81no—
783D4×C19—81no—
784D4×C19—81no—
785D4×C19—81no—
786D4×C19—81no—
787D4×C19—81no—
788D4×C19—81no—
789D4×C19—81no—
790D4×C19—81no—
791D4×C19—81no—
792D4×C19—81no—
793D4×C19—81no—
794D4×C19—81no—
795D4×C19—81no—
796D4×C19—81no—
797D4×C19—81no—
798D4×C19—81no—
799D4×C19—81no—
800D4×C19—81no—
801D4×C19—81no—
802D4×C19—81no—
803D4×C19—81no—
804D4×C19—81no—
805D4×C19—81no—
806C2×C4×C19—21no—
807C2×C4×C19—21no—
808C2×C4×C19—21no—
809C2×C4×C19—21no—
810C2×C4×C19—21no—
811C2×C4×C19—21no—
812C2×C4×C19—21no—
813C2×C4×C19—21no—
814C2×C4×C19—21no—
815C2×C4×C19—21no—
816C2×C4×C19—21no—
817C2×C4×C19—21no—
818C2×C4×C19—21no—
819C2×C4×C19—21no—
820C2×C4×C19—21no—
821C2×C4×C19—21no—
822C2×C4×C19—21no—
823C2×C4×C19—21no—
824C2×C4×C19—21no—
825C2×C4×C19—41no—
826C2×C4×C19—41no—
827C2×C4×C19—41no—
828C2×C4×C19—42no—
829C2×C4×C19—81no—
830C2×C4×C19—81no—
831C2×C4×C19—81no—
832C2×C4×C19—81no—
833C2×C4×C19—81no—
834C2×C4×C19—81no—
835C2×C4×C19—81no—
836C2×C4×C19—81no—
837C2×C4×C19—81no—
838C2×C4×C19—81no—
839C2×C4×C19—81no—
840C2×C4×C19—81no—
841C2×C4×C19C22×D411yescharacteristic
842C2×C4×C19C22×D411yescharacteristic
843C2×C4×C19C22×D411yescharacteristic
844C2×C4×C19C22×D411yescharacteristic
845C2×C4×C19C22×D411yescharacteristic
846C2×C4×C19C22×D411yescharacteristic
847C2×C4×C19C22×D411yescharacteristic
848C2×C4×C19C22×D411yescharacteristic
849C2×C4×C19C22×D411yescharacteristic
850C2×C4×C19C2511yescharacteristic
851C8×C19—21no—
852C8×C19—21no—
853C8×C19—21no—
854C8×C19—21no—
855C8×C19—21no—
856C8×C19—21no—
857C8×C19—21no—
858C8×C19H(5,𝔽2)12yes—
859#3542C2×C1911yescharacteristic, complemented
860#3537C2×C1911yescharacteristic, complemented
861#3355C2×C1911yescharacteristic, complemented
862#3347C2×C1911yescharacteristic, complemented
863#3345C2×C1911yescharacteristic, complemented
864#3337C2×C1911yescharacteristic, complemented
865#3325C2×C1911yescharacteristic, complemented
866#3322C2×C1911yescharacteristic, complemented
867#3318C2×C1911yescharacteristic, complemented
868#3318C2×C1911yescharacteristic, complemented
869#3310C2×C1911yescharacteristic, complemented
870#3309C2×C1911yescharacteristic, complemented
871#3297C2×C1911yescharacteristic, complemented
872#3294C2×C1911yescharacteristic, complemented
873D4×D8C2×C1911yescharacteristic, complemented
874#3274C2×C1911yescharacteristic, complemented
875#3264C2×C1911yescharacteristic, complemented
876#3264C2×C1911yescharacteristic, complemented
877#3259C2×C1911yescharacteristic, complemented
878#3257C2×C1911yescharacteristic, complemented
879#3199C2×C1911yescharacteristic, complemented
880#3198C2×C1911yescharacteristic, complemented
881#3188C2×C1911yescharacteristic, complemented
882#3186C2×C1911yescharacteristic, complemented
883#3179C2×C1911yescharacteristic, complemented
884#3176C2×C1911yescharacteristic, complemented
885#3062C2×C1911yescharacteristic, complemented
886#3058C2×C1911yescharacteristic, complemented
887#3055C2×C1911yescharacteristic, complemented
888C2×#469C2×C1911yescharacteristic, complemented
889#2933C2×C1911yescharacteristic, complemented
890C22×C19—21no—
891C22×C19—21no—
892C22×C19—21no—
893C22×C19—21no—
894C22×C19—21no—
895C22×C19—21no—
896C22×C19—21no—
897C22×C19—21no—
898C22×C19—21no—
899C22×C19—21no—
900C22×C19—21no—
901C22×C19—21no—
902C22×C19—21no—
903C22×C19—21no—
904C22×C19—41no—
905C22×C19—41no—
906C22×C19—41no—
907C22×C19—41no—
908C22×C19—41no—
909C22×C19—41no—
910C22×C19—41no—
911C22×C19—41no—
912C22×C19—41no—
913C22×C19—41no—
914C22×C19—41no—
915C22×C19—41no—
916C22×C19—41no—
917C22×C19—41no—
918C22×C19—41no—
919C22×C19—41no—
920C22×C19—41no—
921C22×C19—41no—
922C22×C19—41no—
923C22×C19—41no—
924C22×C19—41no—
925C22×C19—82no—
926C22×C19—162no—
927C22×C19—162no—
928C22×C19—162no—
929C22×C19—162no—
930C22×C19—162no—
931C22×C19—162no—
932C22×C19#57612yes—
933C22×C19C23×D411yescharacteristic
934C4×C19—21no—
935C4×C19—21no—
936C4×C19—21no—
937C4×C19—21no—
938C4×C19—21no—
939C4×C19—21no—
940C4×C19—21no—
941C4×C19—21no—
942C4×C19—21no—
943C4×C19—41no—
944C4×C19—41no—
945C4×C19—41no—
946C4×C19—41no—
947C4×C19—41no—
948C4×C19—41no—
949C4×C19—41no—
950C4×C19—41no—
951C4×C19—41no—
952C4×C19C2×H(5,𝔽2)11yescharacteristic
953C4×C19#58511yescharacteristic
954C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
955C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
956C22×D8C22×C1911yescharacteristic, complemented
957C22×D8C22×C1911yescharacteristic, complemented
958C2×#131C22×C1911yescharacteristic, complemented
959C22×M16C22×C1911yescharacteristic, complemented
960#562—21no—
961#560—21no—
962#560—21no—
963#560—21no—
964#555C22×C1911yescharacteristic, complemented
965#553C22×C1911yescharacteristic
966#553C22×C1911yescharacteristic, complemented
967#553C22×C1911yescharacteristic, complemented
968#553C22×C1911yescharacteristic, complemented
969#553C22×C1911yescharacteristic, complemented
970#552C22×C1911yescharacteristic, complemented
971#551—21no—
972#550C22×C1911yescharacteristic, complemented
973#547C22×C1911yescharacteristic, complemented
974#546—21no—
975#546C22×C1911yescharacteristic, complemented
976#546C22×C1911yescharacteristic, complemented
977D42—21no—
978D42—21no—
979D42C22×C1911yescharacteristic
980D42C22×C1911yescharacteristic, complemented
981D42C22×C1911yescharacteristic, complemented
982D42C22×C1911yescharacteristic, complemented
983D42C22×C1911yescharacteristic, complemented
984#542C22×C1911yescharacteristic, complemented
985#540—21no—
986#540C22×C1911yescharacteristic, complemented
987#540C22×C1911yescharacteristic, complemented
988#540C22×C1911yescharacteristic, complemented
989#538—21no—
990#538—21no—
991#538—21no—
992#537C22×C1911yescharacteristic, complemented
993#535—21no—
994#535C22×C1911yescharacteristic, complemented
995#535C22×C1911yescharacteristic, complemented
996#535C22×C1911yescharacteristic, complemented
997#534—21no—
998#534—21no—
999#534—21no—
1000#525C22×C1911yescharacteristic
1001#525C22×C1911yescharacteristic, complemented
1002C2×#121C22×C1911yescharacteristic, complemented
1003C2×#121C22×C1911yescharacteristic, complemented
1004C2×#121C22×C1911yescharacteristic, complemented
1005#501C22×C1911yescharacteristic, complemented
1006#499C22×C1911yescharacteristic, complemented
1007#496C22×C1911yescharacteristic, complemented
1008#493C22×C1911yescharacteristic, complemented
1009#490C22×C1911yescharacteristic, complemented
1010#490C22×C1911yescharacteristic, complemented
1011#488C22×C1911yescharacteristic, complemented
1012#486C22×C1911yescharacteristic, complemented
1013#485C22×C1911yescharacteristic, complemented
1014#484C22×C1911yescharacteristic, complemented
1015#482C22×C1911yescharacteristic, complemented
1016#482C22×C1911yescharacteristic, complemented
1017#482C22×C1911yescharacteristic, complemented
1018#482C22×C1911yescharacteristic, complemented
1019#482C22×C1911yescharacteristic, complemented
1020#482C22×C1911yescharacteristic, complemented
1021#482C22×C1911yescharacteristic, complemented
1022#481C22×C1911yescharacteristic, complemented
1023#481C22×C1911yescharacteristic, complemented
1024#480C22×C1911yescharacteristic, complemented
1025#480C22×C1911yescharacteristic, complemented
1026#480C22×C1911yescharacteristic, complemented
1027#480C22×C1911yescharacteristic, complemented
1028#480C22×C1911yescharacteristic, complemented
1029#479C22×C1911yescharacteristic, complemented
1030#478C22×C1911yescharacteristic, complemented
1031#478C22×C1911yescharacteristic, complemented
1032#478C22×C1911yescharacteristic, complemented
1033#478C22×C1911yescharacteristic, complemented
1034#478C22×C1911yescharacteristic, complemented
1035#476C22×C1911yescharacteristic, complemented
1036#474C22×C1911yescharacteristic, complemented
1037#469C22×C1911yescharacteristic, complemented
1038#469C22×C1911yescharacteristic, complemented
1039#469C22×C1911yescharacteristic, complemented
1040#469C22×C1911yescharacteristic, complemented
1041#469C22×C1911yescharacteristic, complemented
1042#469C22×C1911yescharacteristic, complemented
1043#469C22×C1911yescharacteristic, complemented
1044#469C22×C1911yescharacteristic, complemented
1045#469C22×C1911yescharacteristic, complemented
1046#469C22×C1911yescharacteristic, complemented
1047#469C22×C1911yescharacteristic, complemented
1048#469C22×C1911yescharacteristic, complemented
1049#469C22×C1911yescharacteristic, complemented
1050#468C22×C1911yescharacteristic, complemented
1051#468C22×C1911yescharacteristic, complemented
1052#468C22×C1911yescharacteristic, complemented
1053#466C22×C1911yescharacteristic, complemented
1054#466C22×C1911yescharacteristic, complemented
1055#466C22×C1911yescharacteristic, complemented
1056#466C22×C1911yescharacteristic, complemented
1057#466C22×C1911yescharacteristic, complemented
1058#466C22×C1911yescharacteristic, complemented
1059#466C22×C1911yescharacteristic, complemented
1060#466C22×C1911yescharacteristic, complemented
1061#466C22×C1911yescharacteristic, complemented
1062#466C22×C1911yescharacteristic, complemented
1063#466C22×C1911yescharacteristic, complemented
1064#465C22×C1911yescharacteristic, complemented
1065#465C22×C1911yescharacteristic, complemented
1066#465C22×C1911yescharacteristic, complemented
1067#465C22×C1911yescharacteristic, complemented
1068#465C22×C1911yescharacteristic, complemented
1069#463C22×C1911yescharacteristic, complemented
1070#463C22×C1911yescharacteristic, complemented
1071#460C22×C1911yescharacteristic, complemented
1072#459C22×C1911yescharacteristic, complemented
1073#459C22×C1911yescharacteristic, complemented
1074#459C22×C1911yescharacteristic, complemented
1075#459C22×C1911yescharacteristic, complemented
1076#459C22×C1911yescharacteristic, complemented
1077#450C22×C1911yescharacteristic, complemented
1078#450C22×C1911yescharacteristic, complemented
1079#449C22×C1911yescharacteristic, complemented
1080#449C22×C1911yescharacteristic, complemented
1081#449C22×C1911yescharacteristic, complemented
1082#449C22×C1911yescharacteristic, complemented
1083#447C22×C1911yescharacteristic, complemented
1084#447C22×C1911yescharacteristic, complemented
1085#447C22×C1911yescharacteristic, complemented
1086#447C22×C1911yescharacteristic, complemented
1087#447C22×C1911yescharacteristic, complemented
1088#447C22×C1911yescharacteristic, complemented
1089#447C22×C1911yescharacteristic, complemented
1090#447C22×C1911yescharacteristic, complemented
1091#447C22×C1911yescharacteristic, complemented
1092#447C22×C1911yescharacteristic, complemented
1093#442C22×C1911yescharacteristic, complemented
1094#442C22×C1911yescharacteristic, complemented
1095#442C22×C1911yescharacteristic, complemented
1096#440C22×C1911yescharacteristic, complemented
1097C4×SD16C22×C1911yescharacteristic, complemented
1098C4×D8C22×C1911yescharacteristic, complemented
1099C4×D8C22×C1911yescharacteristic, complemented
1100C4×D8C22×C1911yescharacteristic, complemented
1101#436C22×C1911yescharacteristic, complemented
1102#436C22×C1911yescharacteristic, complemented
1103#435C22×C1911yescharacteristic, complemented
1104#435C22×C1911yescharacteristic, complemented
1105#435C22×C1911yescharacteristic, complemented
1106#435C22×C1911yescharacteristic, complemented
1107C8×D4C22×C1911yescharacteristic, complemented
1108C8×D4C22×C1911yescharacteristic, complemented
1109#428C22×C1911yescharacteristic, complemented
1110#428C22×C1911yescharacteristic, complemented
1111#427C22×C1911yescharacteristic, complemented
1112C2×#106C22×C1911yescharacteristic, complemented
1113#424C22×C1911yescharacteristic, complemented
1114#418C22×C1911yescharacteristic, complemented
1115#418C22×C1911yescharacteristic, complemented
1116#418C22×C1911yescharacteristic, complemented
1117#417C22×C1911yescharacteristic, complemented
1118#416C22×C1911yescharacteristic, complemented
1119C2×#102C22×C1911yescharacteristic, complemented
1120C2×#102C22×C1911yescharacteristic, complemented
1121C2×#102C22×C1911yescharacteristic, complemented
1122#408C22×C1911yescharacteristic, complemented
1123C2×C22⋊C8C22×C1911yescharacteristic, complemented
1124#405C22×C1911yescharacteristic, complemented
1125C2×C19—22no—
1126C2×C19—41no—
1127C2×C19—41no—
1128C2×C19—41no—
1129C2×C19—41no—
1130C2×C19—81no—
1131C2×C19—81no—
1132C2×C19—81no—
1133C2×C19—81no—
1134C2×C19—81no—
1135C2×C19—81no—
1136C2×C19—81no—
1137C2×C19#349611yescharacteristic
1138C2×C19C2×#57611yescharacteristic
1139C2×C19#358511yescharacteristic
1140C2×#41—21no—
1141C2×#41C23×C1911yescharacteristic
1142C2×#41C23×C1911yescharacteristic
1143C2×#41C23×C1911yescharacteristic
1144C22×D4—21no—
1145C22×D4—21no—
1146C22×D4—21no—
1147C22×D4—21no—
1148C22×D4—21no—
1149C22×D4—21no—
1150C22×D4—21no—
1151C22×D4—21no—
1152C22×D4C23×C1911yescharacteristic
1153C22×D4C23×C1911yescharacteristic
1154C22×D4C23×C1911yescharacteristic
1155C22×D4C23×C1911yescharacteristic
1156C22×D4C23×C1911yescharacteristic
1157C22×D4C23×C1911yescharacteristic
1158C23×C4C23×C1911yescharacteristic
1159AGL(1,ℤ/8)—42no—
1160AGL(1,ℤ/8)—42no—
1161C2×SD16C23×C1911yescharacteristic
1162C2×SD16C23×C1911yescharacteristic
1163C2×SD16C23×C1911yescharacteristic
1164C2×SD16C23×C1911yescharacteristic
1165C2×D8—42no—
1166C2×D8—42no—
1167C2×D8C23×C1911yescharacteristic
1168C2×D8C23×C1911yescharacteristic
1169C2×D8C23×C1911yescharacteristic
1170C2×D8C23×C1911yescharacteristic
1171C2×D8C23×C1911yescharacteristic
1172C2×D8C23×C1911yescharacteristic
1173C2×D8C23×C1911yescharacteristic
1174C2×D8C23×C1911yescharacteristic
1175C2×D8C23×C1911yescharacteristic
1176C2×D8C23×C1911yescharacteristic
1177C2×D8C23×C1911yescharacteristic
1178C2×D8C23×C1911yescharacteristic
1179#131—42no—
1180C2×M16—42no—
1181C2×M16C23×C1911yescharacteristic
1182C2×M16C23×C1911yescharacteristic
1183C2×M16C23×C1911yescharacteristic
1184C2×M16C23×C1911yescharacteristic
1185C2×M16C23×C1911yescharacteristic
1186C2×M16C23×C1911yescharacteristic
1187C22×C8C23×C1911yescharacteristic
1188C22×C8C23×C1911yescharacteristic
1189C22×C8C23×C1911yescharacteristic
1190C22×C8C23×C1911yescharacteristic
1191C22×C8C23×C1911yescharacteristic
1192C22×C8C23×C1911yescharacteristic
1193C4⋊Q8C23×C1911yescharacteristic
1194#127—21no—
1195#127—21no—
1196#127—21no—
1197#127—21no—
1198#127C23×C1911yescharacteristic
1199#127C23×C1911yescharacteristic
1200#127C23×C1911yescharacteristic
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#125—21no—
1209#125C23×C1911yescharacteristic
1210#125C23×C1911yescharacteristic
1211#125C23×C1911yescharacteristic
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124C23×C1911yescharacteristic
1219#123—21no—
1220#123—21no—
1221#123—21no—
1222#123—21no—
1223#123—21no—
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123D4×C1911yescharacteristic
1238#123D4×C1911yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8D4×C1911yescharacteristic
1243C22⋊Q8D4×C1911yescharacteristic
1244C22⋊Q8C23×C1911yescharacteristic
1245C22⋊Q8C23×C1911yescharacteristic
1246C22⋊Q8C23×C1911yescharacteristic
1247#121—21no—
1248#121—21no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—21no—
1256#121—21no—
1257#121—21no—
1258#121—21no—
1259#121—21no—
1260#121—21no—
1261#121—21no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121D4×C1911yescharacteristic
1278#121D4×C1911yescharacteristic
1279#121C23×C1911yescharacteristic
1280#121C23×C1911yescharacteristic
1281#121C23×C1911yescharacteristic
1282#121C23×C1911yescharacteristic
1283#121C23×C1911yescharacteristic
1284#121C23×C1911yescharacteristic
1285#121C23×C1911yescharacteristic
1286#121C23×C1911yescharacteristic
1287#121C23×C1911yescharacteristic
1288#121C23×C1911yescharacteristic
1289#121C23×C1911yescharacteristic
1290#121C23×C1911yescharacteristic
1291#121C23×C1911yescharacteristic
1292#121C23×C1911yescharacteristic
1293#121C23×C1911yescharacteristic
1294#121C23×C1911yescharacteristic
1295#121C23×C1911yescharacteristic
1296#121C23×C1911yescharacteristic
1297#121C23×C1911yescharacteristic
1298#121C23×C1911yescharacteristic
1299#121C23×C1911yescharacteristic
1300#120—21no—
1301#120—21no—
1302#120—21no—
1303#120—21no—
1304#120—21no—
1305#120—21no—
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120—21no—
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120—21no—
1319#120D4×C1911yescharacteristic
1320#120D4×C1911yescharacteristic
1321C4×Q8C23×C1911yescharacteristic
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C1911yescharacteristic
1331C4×D4C23×C1911yescharacteristic
1332C4×D4C23×C1911yescharacteristic
1333C4×D4C23×C1911yescharacteristic
1334C4×D4C23×C1911yescharacteristic
1335C4×D4C23×C1911yescharacteristic
1336C4×D4C23×C1911yescharacteristic
1337C4×D4C23×C1911yescharacteristic
1338C4×D4C23×C1911yescharacteristic
1339C4×D4C23×C1911yescharacteristic
1340C4×D4C23×C1911yescharacteristic
1341#117—21no—
1342#117—21no—
1343#117C23×C1911yescharacteristic
1344#117C23×C1911yescharacteristic
1345#117C23×C1911yescharacteristic
1346#117C23×C1911yescharacteristic
1347#117C23×C1911yescharacteristic
1348C2×C4⋊C4C23×C1911yescharacteristic
1349C2×C4⋊C4C23×C1911yescharacteristic
1350C2×C4⋊C4C23×C1911yescharacteristic
1351C2×C4⋊C4C23×C1911yescharacteristic
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355C2×C22⋊C4—21no—
1356C2×C22⋊C4—21no—
1357#107C23×C1911yescharacteristic
1358#107C23×C1911yescharacteristic
1359#107C23×C1911yescharacteristic
1360#107C23×C1911yescharacteristic
1361#107C23×C1911yescharacteristic
1362#107C23×C1911yescharacteristic
1363#107C23×C1911yescharacteristic
1364#107C23×C1911yescharacteristic
1365#106C23×C1911yescharacteristic
1366#106C23×C1911yescharacteristic
1367#106C23×C1911yescharacteristic
1368#106C23×C1911yescharacteristic
1369#106C23×C1911yescharacteristic
1370#106C23×C1911yescharacteristic
1371#106C23×C1911yescharacteristic
1372#106C23×C1911yescharacteristic
1373C4⋊C8C23×C1911yescharacteristic
1374C4⋊C8C23×C1911yescharacteristic
1375C4⋊C8C23×C1911yescharacteristic
1376C4⋊C8C23×C1911yescharacteristic
1377#103C23×C1911yescharacteristic
1378#103C23×C1911yescharacteristic
1379#103C23×C1911yescharacteristic
1380#103C23×C1911yescharacteristic
1381#102C23×C1911yescharacteristic
1382#102C23×C1911yescharacteristic
1383#102C23×C1911yescharacteristic
1384#102C23×C1911yescharacteristic
1385#102C23×C1911yescharacteristic
1386#102C23×C1911yescharacteristic
1387#102C23×C1911yescharacteristic
1388#102C23×C1911yescharacteristic
1389#102C23×C1911yescharacteristic
1390#102C23×C1911yescharacteristic
1391#102C23×C1911yescharacteristic
1392#102C23×C1911yescharacteristic
1393#102C23×C1911yescharacteristic
1394#102C23×C1911yescharacteristic
1395#102C23×C1911yescharacteristic
1396#102C23×C1911yescharacteristic
1397#102C23×C1911yescharacteristic
1398#102C23×C1911yescharacteristic
1399#102C23×C1911yescharacteristic
1400#102C23×C1911yescharacteristic
1401#102C23×C1911yescharacteristic
1402#102C23×C1911yescharacteristic
1403#102C23×C1911yescharacteristic
1404#102C23×C1911yescharacteristic
1405#102C23×C1911yescharacteristic
1406#102C23×C1911yescharacteristic
1407#102C23×C1911yescharacteristic
1408#102C23×C1911yescharacteristic
1409C22⋊C8C23×C1911yescharacteristic
1410C22⋊C8C23×C1911yescharacteristic
1411C22⋊C8C23×C1911yescharacteristic
1412C22⋊C8C23×C1911yescharacteristic
1413C22⋊C8C23×C1911yescharacteristic
1414C22⋊C8C23×C1911yescharacteristic
1415C22⋊C8C23×C1911yescharacteristic
1416C22⋊C8C23×C1911yescharacteristic
1417#97C23×C1911yescharacteristic
1418#97C23×C1911yescharacteristic
1419C4×C8C23×C1911yescharacteristic
1420C4×C8C23×C1911yescharacteristic
1421C19#6231511yescharacteristic, direct product factor, Sylow
1422C24—21no—
1423C24—21no—
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427C24—21no—
1428C24C2×D4×C1911yescharacteristic
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—82no—
1436C2×Q8—21no—
1437C2×Q8C2×D4×C1911yescharacteristic
1438C2×Q8C24×C1911yescharacteristic
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—41no—
1476C2×D4—41no—
1477C2×D4—41no—
1478C2×D4—41no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—41no—
1485C2×D4—41no—
1486C2×D4—82no—
1487C2×D4—82no—
1488C2×D4—82no—
1489C2×D4—82no—
1490C2×D4—82no—
1491C2×D4—82no—
1492C2×D4—82no—
1493C2×D4—82no—
1494C2×D4C2×D4×C1911yescharacteristic
1495C2×D4C2×D4×C1911yescharacteristic
1496C2×D4C2×D4×C1911yescharacteristic
1497C2×D4C2×D4×C1911yescharacteristic
1498C2×D4C2×D4×C1911yescharacteristic
1499C2×D4C2×D4×C1911yescharacteristic
1500C2×D4C2×D4×C1911yescharacteristic
1501C2×D4C24×C1911yescharacteristic
1502C2×D4C24×C1911yescharacteristic
1503C2×D4C24×C1911yescharacteristic
1504C2×D4C24×C1911yescharacteristic
1505C2×D4C24×C1911yescharacteristic
1506C2×D4C24×C1911yescharacteristic
1507C2×D4C24×C1911yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—41no—
1522C22×C4—41no—
1523C22×C4C2×D4×C1911yescharacteristic
1524C22×C4C2×D4×C1911yescharacteristic
1525C22×C4C2×D4×C1911yescharacteristic
1526C22×C4C24×C1911yescharacteristic
1527C22×C4C24×C1911yescharacteristic
1528C22×C4C24×C1911yescharacteristic
1529C22×C4C24×C1911yescharacteristic
1530C22×C4C24×C1911yescharacteristic
1531SD16—22no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535D8—22no—
1536D8—22no—
1537D8—22no—
1538D8—41no—
1539D8—41no—
1540D8—41no—
1541D8—41no—
1542D8—41no—
1543D8—41no—
1544D8—41no—
1545D8—41no—
1546D8—41no—
1547M16—22no—
1548M16—22no—
1549M16—22no—
1550M16—41no—
1551M16—41no—
1552M16—41no—
1553C2×C8—22no—
1554C2×C8—22no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8—41no—
1559C2×C8C24×C1911yescharacteristic
1560C2×C8C24×C1911yescharacteristic
1561C2×C8C24×C1911yescharacteristic
1562C2×C8C24×C1911yescharacteristic
1563C2×C8C24×C1911yescharacteristic
1564C2×C8C24×C1911yescharacteristic
1565C2×C8C24×C1911yescharacteristic
1566C2×C8C24×C1911yescharacteristic
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4C2×D4×C1911yescharacteristic
1583C4⋊C4C2×D4×C1911yescharacteristic
1584C4⋊C4C2×D4×C1911yescharacteristic
1585C4⋊C4C2×D4×C1911yescharacteristic
1586C4⋊C4C2×D4×C1911yescharacteristic
1587C4⋊C4C2×D4×C1911yescharacteristic
1588C4⋊C4C24×C1911yescharacteristic
1589C4⋊C4C24×C1911yescharacteristic
1590C4⋊C4C24×C1911yescharacteristic
1591C4⋊C4C24×C1911yescharacteristic
1592C4⋊C4C24×C1911yescharacteristic
1593C4⋊C4C24×C1911yescharacteristic
1594C4⋊C4C24×C1911yescharacteristic
1595C4⋊C4C24×C1911yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4C2×D4×C1911yescharacteristic
1634C22⋊C4C2×D4×C1911yescharacteristic
1635C22⋊C4C2×D4×C1911yescharacteristic
1636C22⋊C4C2×D4×C1911yescharacteristic
1637C22⋊C4C2×D4×C1911yescharacteristic
1638C22⋊C4C2×D4×C1911yescharacteristic
1639C22⋊C4C2×D4×C1911yescharacteristic
1640C22⋊C4C2×D4×C1911yescharacteristic
1641C22⋊C4C2×D4×C1911yescharacteristic
1642C22⋊C4C2×D4×C1911yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—21no—
1646C42—21no—
1647C42—21no—
1648C42C24×C1911yescharacteristic
1649C42C24×C1911yescharacteristic
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—41no—
1659C23—41no—
1660C23—42no—
1661C23—42no—
1662C23—42no—
1663C23—81no—
1664C23—81no—
1665C23—81no—
1666C23—81no—
1667C23—81no—
1668C23—81no—
1669C23—81no—
1670C23—81no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23—81no—
1675C23—81no—
1676C23—81no—
1677C23—81no—
1678C23C22×D4×C1911yescharacteristic
1679C23C22×D4×C1911yescharacteristic
1680C23C22×D4×C1911yescharacteristic
1681C23C22×D4×C1911yescharacteristic
1682C23C22×D4×C1911yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—41no—
1686Q8—81no—
1687D4—22no—
1688D4—22no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—41no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—42no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4C22×D4×C1911yescharacteristic
1779C2×C4C22×D4×C1911yescharacteristic
1780C2×C4C22×D4×C1911yescharacteristic
1781C2×C4C22×D4×C1911yescharacteristic
1782C2×C4C22×D4×C1911yescharacteristic
1783C2×C4C22×D4×C1911yescharacteristic
1784C2×C4C22×D4×C1911yescharacteristic
1785C2×C4C22×D4×C1911yescharacteristic
1786C2×C4C22×D4×C1911yescharacteristic
1787C2×C4C25×C1911yescharacteristic
1788C8—21no—
1789C8—21no—
1790C8—21no—
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8C19×H(5,𝔽2)12yes—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—82no—
1832C22—162no—
1833C22—162no—
1834C22—162no—
1835C22—162no—
1836C22—162no—
1837C22—162no—
1838C22C19×#57612yes—
1839C22C23×D4×C1911yescharacteristic
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—21no—
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4C2×C19×H(5,𝔽2)11yescharacteristic
1859C4C19×#58511yescharacteristic
1860C2—22no—
1861C2—41no—
1862C2—41no—
1863C2—41no—
1864C2—41no—
1865C2—81no—
1866C2—81no—
1867C2—81no—
1868C2—81no—
1869C2—81no—
1870C2—81no—
1871C2—81no—
1872C2C19×#349611yescharacteristic
1873C2C2×C19×#57611yescharacteristic
1874C2C19×#358511yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3542C2semidirect
2. C19×#3537C2semidirect
3. C19×#3355C2semidirect
4. C19×#3347C2semidirect
5. C19×#3345C2semidirect
6. C19×#3337C2semidirect
7. C19×#3325C2semidirect
8. C19×#3322C2semidirect
9. C19×#3318C2semidirect
10. C19×#3318C2semidirect
11. C19×#3310C2semidirect
12. C19×#3309C2semidirect
13. C19×#3297C2semidirect
14. C19×#3294C2semidirect
15. D4×D8×C19C2semidirect
16. C19×#3274C2semidirect
17. C19×#3264C2semidirect
18. C19×#3264C2semidirect
19. C19×#3259C2semidirect
20. C19×#3257C2semidirect
21. C19×#3199C2semidirect
22. C19×#3198C2semidirect
23. C19×#3188C2semidirect
24. C19×#3186C2semidirect
25. C19×#3179C2semidirect
26. C19×#3176C2semidirect
27. C19×#3062C2semidirect
28. C19×#3058C2semidirect
29. C19×#3055C2semidirect
30. C2×C19×#469C2semidirect
31. C19×#2933C2semidirect
32. C2×C19×AGL(1,ℤ/8)C22semidirect
33. C2×C19×AGL(1,ℤ/8)C22semidirect
34. C22×D8×C19C22semidirect
35. C22×D8×C19C22semidirect
36. C2×C19×#131C22semidirect
37. C22×M16×C19C22semidirect
42. C19×#555C22semidirect
44. C19×#553C22semidirect
45. C19×#553C22semidirect
46. C19×#553C22semidirect
47. C19×#553C22semidirect
48. C19×#552C22semidirect
50. C19×#550C22semidirect
51. C19×#547C22semidirect
53. C19×#546C22semidirect
54. C19×#546C22semidirect
58. D42×C19C22semidirect
59. D42×C19C22semidirect
60. D42×C19C22semidirect
61. D42×C19C22semidirect
62. C19×#542C22semidirect
64. C19×#540C22semidirect
65. C19×#540C22semidirect
66. C19×#540C22semidirect
70. C19×#537C22semidirect
72. C19×#535C22semidirect
73. C19×#535C22semidirect
74. C19×#535C22semidirect
79. C19×#525C22semidirect
80. C2×C19×#121C22semidirect
81. C2×C19×#121C22semidirect
82. C2×C19×#121C22semidirect
83. C19×#501C22semidirect
84. C19×#499C22semidirect
85. C19×#496C22semidirect
86. C19×#493C22semidirect
87. C19×#490C22semidirect
88. C19×#490C22semidirect
89. C19×#488C22semidirect
90. C19×#486C22semidirect
91. C19×#485C22semidirect
92. C19×#484C22semidirect
93. C19×#482C22semidirect
94. C19×#482C22semidirect
95. C19×#482C22semidirect
96. C19×#482C22semidirect
97. C19×#482C22semidirect
98. C19×#482C22semidirect
99. C19×#482C22semidirect
100. C19×#481C22semidirect
101. C19×#481C22semidirect
102. C19×#480C22semidirect
103. C19×#480C22semidirect
104. C19×#480C22semidirect
105. C19×#480C22semidirect
106. C19×#480C22semidirect
107. C19×#479C22semidirect
108. C19×#478C22semidirect
109. C19×#478C22semidirect
110. C19×#478C22semidirect
111. C19×#478C22semidirect
112. C19×#478C22semidirect
113. C19×#476C22semidirect
114. C19×#474C22semidirect
115. C19×#469C22semidirect
116. C19×#469C22semidirect
117. C19×#469C22semidirect
118. C19×#469C22semidirect
119. C19×#469C22semidirect
120. C19×#469C22semidirect
121. C19×#469C22semidirect
122. C19×#469C22semidirect
123. C19×#469C22semidirect
124. C19×#469C22semidirect
125. C19×#469C22semidirect
126. C19×#469C22semidirect
127. C19×#469C22semidirect
128. C19×#468C22semidirect
129. C19×#468C22semidirect
130. C19×#468C22semidirect
131. C19×#466C22semidirect
132. C19×#466C22semidirect
133. C19×#466C22semidirect
134. C19×#466C22semidirect
135. C19×#466C22semidirect
136. C19×#466C22semidirect
137. C19×#466C22semidirect
138. C19×#466C22semidirect
139. C19×#466C22semidirect
140. C19×#466C22semidirect
141. C19×#466C22semidirect
142. C19×#465C22semidirect
143. C19×#465C22semidirect
144. C19×#465C22semidirect
145. C19×#465C22semidirect
146. C19×#465C22semidirect
147. C19×#463C22semidirect
148. C19×#463C22semidirect
149. C19×#460C22semidirect
150. C19×#459C22semidirect
151. C19×#459C22semidirect
152. C19×#459C22semidirect
153. C19×#459C22semidirect
154. C19×#459C22semidirect
155. C19×#450C22semidirect
156. C19×#450C22semidirect
157. C19×#449C22semidirect
158. C19×#449C22semidirect
159. C19×#449C22semidirect
160. C19×#449C22semidirect
161. C19×#447C22semidirect
162. C19×#447C22semidirect
163. C19×#447C22semidirect
164. C19×#447C22semidirect
165. C19×#447C22semidirect
166. C19×#447C22semidirect
167. C19×#447C22semidirect
168. C19×#447C22semidirect
169. C19×#447C22semidirect
170. C19×#447C22semidirect
171. C19×#442C22semidirect
172. C19×#442C22semidirect
173. C19×#442C22semidirect
174. C19×#440C22semidirect
175. C4×SD16×C19C22semidirect
176. C4×D8×C19C22semidirect
177. C4×D8×C19C22semidirect
178. C4×D8×C19C22semidirect
179. C19×#436C22semidirect
180. C19×#436C22semidirect
181. C19×#435C22semidirect
182. C19×#435C22semidirect
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×#424C22semidirect
192. C19×#418C22semidirect
193. C19×#418C22semidirect
194. C19×#418C22semidirect
195. C19×#417C22semidirect
196. C19×#416C22semidirect
197. C2×C19×#102C22semidirect
198. C2×C19×#102C22semidirect
199. C2×C19×#102C22semidirect
200. C19×#408C22semidirect
201. C2×C19×C22⋊C8C22semidirect
202. C19×#405C22semidirect
712. #62315C19direct (N × H)
859. #3542C2×C19semidirect
860. #3537C2×C19semidirect
861. #3355C2×C19semidirect
862. #3347C2×C19semidirect
863. #3345C2×C19semidirect
864. #3337C2×C19semidirect
865. #3325C2×C19semidirect
866. #3322C2×C19semidirect
867. #3318C2×C19semidirect
868. #3318C2×C19semidirect
869. #3310C2×C19semidirect
870. #3309C2×C19semidirect
871. #3297C2×C19semidirect
872. #3294C2×C19semidirect
873. D4×D8C2×C19semidirect
874. #3274C2×C19semidirect
875. #3264C2×C19semidirect
876. #3264C2×C19semidirect
877. #3259C2×C19semidirect
878. #3257C2×C19semidirect
879. #3199C2×C19semidirect
880. #3198C2×C19semidirect
881. #3188C2×C19semidirect
882. #3186C2×C19semidirect
883. #3179C2×C19semidirect
884. #3176C2×C19semidirect
885. #3062C2×C19semidirect
886. #3058C2×C19semidirect
887. #3055C2×C19semidirect
888. C2×#469C2×C19semidirect
889. #2933C2×C19semidirect
954. C2×AGL(1,ℤ/8)C22×C19semidirect
955. C2×AGL(1,ℤ/8)C22×C19semidirect
956. C22×D8C22×C19semidirect
957. C22×D8C22×C19semidirect
958. C2×#131C22×C19semidirect
959. C22×M16C22×C19semidirect
964. #555C22×C19semidirect
966. #553C22×C19semidirect
967. #553C22×C19semidirect
968. #553C22×C19semidirect
969. #553C22×C19semidirect
970. #552C22×C19semidirect
972. #550C22×C19semidirect
973. #547C22×C19semidirect
975. #546C22×C19semidirect
976. #546C22×C19semidirect
980. D42C22×C19semidirect
981. D42C22×C19semidirect
982. D42C22×C19semidirect
983. D42C22×C19semidirect
984. #542C22×C19semidirect
986. #540C22×C19semidirect
987. #540C22×C19semidirect
988. #540C22×C19semidirect
992. #537C22×C19semidirect
994. #535C22×C19semidirect
995. #535C22×C19semidirect
996. #535C22×C19semidirect
1001. #525C22×C19semidirect
1002. C2×#121C22×C19semidirect
1003. C2×#121C22×C19semidirect
1004. C2×#121C22×C19semidirect
1005. #501C22×C19semidirect
1006. #499C22×C19semidirect
1007. #496C22×C19semidirect
1008. #493C22×C19semidirect
1009. #490C22×C19semidirect
1010. #490C22×C19semidirect
1011. #488C22×C19semidirect
1012. #486C22×C19semidirect
1013. #485C22×C19semidirect
1014. #484C22×C19semidirect
1015. #482C22×C19semidirect
1016. #482C22×C19semidirect
1017. #482C22×C19semidirect
1018. #482C22×C19semidirect
1019. #482C22×C19semidirect
1020. #482C22×C19semidirect
1021. #482C22×C19semidirect
1022. #481C22×C19semidirect
1023. #481C22×C19semidirect
1024. #480C22×C19semidirect
1025. #480C22×C19semidirect
1026. #480C22×C19semidirect
1027. #480C22×C19semidirect
1028. #480C22×C19semidirect
1029. #479C22×C19semidirect
1030. #478C22×C19semidirect
1031. #478C22×C19semidirect
1032. #478C22×C19semidirect
1033. #478C22×C19semidirect
1034. #478C22×C19semidirect
1035. #476C22×C19semidirect
1036. #474C22×C19semidirect
1037. #469C22×C19semidirect
1038. #469C22×C19semidirect
1039. #469C22×C19semidirect
1040. #469C22×C19semidirect
1041. #469C22×C19semidirect
1042. #469C22×C19semidirect
1043. #469C22×C19semidirect
1044. #469C22×C19semidirect
1045. #469C22×C19semidirect
1046. #469C22×C19semidirect
1047. #469C22×C19semidirect
1048. #469C22×C19semidirect
1049. #469C22×C19semidirect
1050. #468C22×C19semidirect
1051. #468C22×C19semidirect
1052. #468C22×C19semidirect
1053. #466C22×C19semidirect
1054. #466C22×C19semidirect
1055. #466C22×C19semidirect
1056. #466C22×C19semidirect
1057. #466C22×C19semidirect
1058. #466C22×C19semidirect
1059. #466C22×C19semidirect
1060. #466C22×C19semidirect
1061. #466C22×C19semidirect
1062. #466C22×C19semidirect
1063. #466C22×C19semidirect
1064. #465C22×C19semidirect
1065. #465C22×C19semidirect
1066. #465C22×C19semidirect
1067. #465C22×C19semidirect
1068. #465C22×C19semidirect
1069. #463C22×C19semidirect
1070. #463C22×C19semidirect
1071. #460C22×C19semidirect
1072. #459C22×C19semidirect
1073. #459C22×C19semidirect
1074. #459C22×C19semidirect
1075. #459C22×C19semidirect
1076. #459C22×C19semidirect
1077. #450C22×C19semidirect
1078. #450C22×C19semidirect
1079. #449C22×C19semidirect
1080. #449C22×C19semidirect
1081. #449C22×C19semidirect
1082. #449C22×C19semidirect
1083. #447C22×C19semidirect
1084. #447C22×C19semidirect
1085. #447C22×C19semidirect
1086. #447C22×C19semidirect
1087. #447C22×C19semidirect
1088. #447C22×C19semidirect
1089. #447C22×C19semidirect
1090. #447C22×C19semidirect
1091. #447C22×C19semidirect
1092. #447C22×C19semidirect
1093. #442C22×C19semidirect
1094. #442C22×C19semidirect
1095. #442C22×C19semidirect
1096. #440C22×C19semidirect
1097. C4×SD16C22×C19semidirect
1098. C4×D8C22×C19semidirect
1099. C4×D8C22×C19semidirect
1100. C4×D8C22×C19semidirect
1101. #436C22×C19semidirect
1102. #436C22×C19semidirect
1103. #435C22×C19semidirect
1104. #435C22×C19semidirect
1105. #435C22×C19semidirect
1106. #435C22×C19semidirect
1107. C8×D4C22×C19semidirect
1108. C8×D4C22×C19semidirect
1109. #428C22×C19semidirect
1110. #428C22×C19semidirect
1111. #427C22×C19semidirect
1112. C2×#106C22×C19semidirect
1113. #424C22×C19semidirect
1114. #418C22×C19semidirect
1115. #418C22×C19semidirect
1116. #418C22×C19semidirect
1117. #417C22×C19semidirect
1118. #416C22×C19semidirect
1119. C2×#102C22×C19semidirect
1120. C2×#102C22×C19semidirect
1121. C2×#102C22×C19semidirect
1122. #408C22×C19semidirect
1123. C2×C22⋊C8C22×C19semidirect
1124. #405C22×C19semidirect
1421. C19#62315direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35422
C19×#35372
C19×#33552
C19×#33472
C19×#33452
C19×#33372
C19×#33252
C19×#33222
C19×#33182
C19×#33102
C19×#33092
C19×#32972
C19×#32942
D4×D8×C192
C19×#32742
C19×#32642
C19×#32592
C19×#32572
C19×#31992
C19×#31982
C19×#31882
C19×#31862
C19×#31792
C19×#31762
C19×#30622
C19×#30582
C19×#30552
C2×C19×#4692
C19×#29332
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