Finite Group Databasebeta

← C19×#61691 #18067650

Subgroups — C19×#61691 #18067650

Order 4864.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3547C211yesmaximal, characteristic, complemented
2C19×#3500C211yesmaximal, characteristic, complemented
3C19×#3327C211yesmaximal, characteristic, complemented
4C19×#3323C211yesmaximal, characteristic, complemented
5C19×#3321C211yesmaximal, characteristic, complemented
6C19×#3319C211yesmaximal, characteristic, complemented
7C19×#3316C211yesmaximal, characteristic, complemented
8C19×#3314C211yesmaximal, characteristic, complemented
9C19×#3300C211yesmaximal, characteristic, complemented
10C19×#3296C211yesmaximal, characteristic, complemented
11C19×#3285C211yesmaximal, characteristic, complemented
12C19×#3282C211yesmaximal, characteristic, complemented
13C19×#3277C211yesmaximal, characteristic, complemented
14C19×#3275C211yesmaximal, characteristic, complemented
15C19×#3270C211yesmaximal, characteristic, complemented
16C19×#3269C211yesmaximal, characteristic, complemented
17C19×#3267C211yesmaximal, characteristic, complemented
18C19×#3266C211yesmaximal, characteristic, complemented
19C19×#3215C211yesmaximal, characteristic, complemented
20C19×#3211C211yesmaximal, characteristic, complemented
21C19×#3202C211yesmaximal, characteristic, complemented
22C19×#3201C211yesmaximal, characteristic, complemented
23C19×#3200C211yesmaximal, characteristic, complemented
24C19×#3198C211yesmaximal, characteristic, complemented
25C19×#3111C211yesmaximal, characteristic, complemented
26C19×#3107C211yesmaximal, characteristic, complemented
27C19×#3013C211yesmaximal, characteristic, complemented
28C19×#3012C211yesmaximal, characteristic, complemented
29C19×#3011C211yesmaximal, characteristic, complemented
30C19×#3009C211yesmaximal, characteristic, complemented
31C19×#2981C211yesmaximal, characteristic, complemented
32C2×C19×2−1+4C2211yescharacteristic
33C2×C19×H(5,𝔽2)C2211yescharacteristic
34C2×C19×#137C2211yescharacteristic
35C2×C19×#137C2211yescharacteristic, complemented
36C2×C19×#137C2211yescharacteristic, complemented
37C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
38C2×C19×#135C2211yescharacteristic
39C2×C19×#135C2211yescharacteristic, complemented
40C22×Q16×C19C2211yescharacteristic, complemented
41C22×SD16×C19C2211yescharacteristic
42C19×#562—21no—
43C19×#562—21no—
44C19×#555—21no—
45C19×#555C2211yescharacteristic, complemented
46C19×#554C2211yescharacteristic, complemented
47C19×#553—21no—
48C19×#552C2211yescharacteristic, complemented
49C19×#552C2211yescharacteristic, complemented
50D4×Q8×C19C2211yescharacteristic, complemented
51C19×#548C2211yescharacteristic
52C19×#548C2211yescharacteristic
53C19×#548C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#548C2211yescharacteristic, complemented
56C19×#548C2211yescharacteristic, complemented
57C19×#547C2211yescharacteristic, complemented
58C19×#546—21no—
59C19×#546—21no—
60C19×#546—21no—
61C19×#546—21no—
62C19×#546C2211yescharacteristic
63C19×#546C2211yescharacteristic
64C19×#546C2211yescharacteristic
65C19×#546C2211yescharacteristic
66C19×#544—21no—
67C19×#542—21no—
68C19×#542—21no—
69C19×#540—21no—
70C19×#537C2211yescharacteristic
71C19×#537C2211yescharacteristic, complemented
72C19×#536—21no—
73C19×#536C2211yescharacteristic
74C19×#536C2211yescharacteristic
75C19×#536C2211yescharacteristic, complemented
76C19×#535—21no—
77C19×#535C2211yescharacteristic
78C19×#533C2211yescharacteristic, complemented
79C19×#532—21no—
80C19×#532C2211yescharacteristic
81C19×#529C2211yescharacteristic, complemented
82C2×C19×#124—21no—
83C2×C19×#124C2211yescharacteristic
84C4×#41×C19C2211yescharacteristic
85C19×#497C2211yescharacteristic, complemented
86C19×#497C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#495C2211yescharacteristic, complemented
89C19×#489C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#488C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#485C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic, complemented
100C19×#482C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#482C2211yescharacteristic, complemented
103C19×#481C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, complemented
105C19×#479C2211yescharacteristic, complemented
106C19×#478C2211yescharacteristic, complemented
107C19×#475C2211yescharacteristic, complemented
108C19×#474C2211yescharacteristic, complemented
109C19×#470C2211yescharacteristic, complemented
110C19×#470C2211yescharacteristic, complemented
111C19×#470C2211yescharacteristic, complemented
112C19×#469C2211yescharacteristic, complemented
113C19×#468C2211yescharacteristic, complemented
114C19×#468C2211yescharacteristic, complemented
115C19×#468C2211yescharacteristic, complemented
116C19×#468C2211yescharacteristic, complemented
117C19×#467C2211yescharacteristic, complemented
118C19×#467C2211yescharacteristic, complemented
119C19×#467C2211yescharacteristic, complemented
120C19×#466C2211yescharacteristic, complemented
121C19×#465C2211yescharacteristic, complemented
122C19×#465C2211yescharacteristic, complemented
123C19×#465C2211yescharacteristic, complemented
124C19×#465C2211yescharacteristic, complemented
125C19×#464C2211yescharacteristic, complemented
126C19×#464C2211yescharacteristic, complemented
127C19×#464C2211yescharacteristic, complemented
128C19×#464C2211yescharacteristic, complemented
129C19×#464C2211yescharacteristic, complemented
130C19×#464C2211yescharacteristic, complemented
131C19×#464C2211yescharacteristic, complemented
132C19×#463C2211yescharacteristic, complemented
133C19×#463C2211yescharacteristic, complemented
134C19×#463C2211yescharacteristic, complemented
135C19×#462C2211yescharacteristic, complemented
136C19×#461C2211yescharacteristic, complemented
137C19×#452C2211yescharacteristic
138C19×#452C2211yescharacteristic
139C19×#452C2211yescharacteristic
140C19×#452C2211yescharacteristic
141C19×#452C2211yescharacteristic
142C19×#452C2211yescharacteristic
143C19×#452C2211yescharacteristic, complemented
144C19×#452C2211yescharacteristic, complemented
145C19×#452C2211yescharacteristic, complemented
146C19×#452C2211yescharacteristic, complemented
147C19×#452C2211yescharacteristic, complemented
148C19×#451C2211yescharacteristic, complemented
149C19×#451C2211yescharacteristic, complemented
150C19×#451C2211yescharacteristic, complemented
151C19×#451C2211yescharacteristic, complemented
152C19×#451C2211yescharacteristic, complemented
153C19×#451C2211yescharacteristic, complemented
154C19×#451C2211yescharacteristic, complemented
155C19×#451C2211yescharacteristic, complemented
156C19×#450C2211yescharacteristic
157C19×#450C2211yescharacteristic
158C19×#450C2211yescharacteristic
159C19×#450C2211yescharacteristic
160C19×#450C2211yescharacteristic
161C19×#450C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#449C2211yescharacteristic
164C19×#449C2211yescharacteristic, complemented
165C19×#449C2211yescharacteristic, complemented
166C19×#449C2211yescharacteristic, complemented
167C19×#448C2211yescharacteristic, complemented
168C19×#448C2211yescharacteristic, complemented
169C19×#448C2211yescharacteristic, complemented
170C19×#448C2211yescharacteristic, complemented
171C19×#447C2211yescharacteristic
172C19×#447C2211yescharacteristic
173C19×#442C2211yescharacteristic, complemented
174C19×#441C2211yescharacteristic, complemented
175C19×#440C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×Q16×C19C2211yescharacteristic, complemented
178C4×Q16×C19C2211yescharacteristic, complemented
179C4×SD16×C19C2211yescharacteristic, complemented
180C4×SD16×C19C2211yescharacteristic, complemented
181C19×#436C2211yescharacteristic, complemented
182C19×#436C2211yescharacteristic, complemented
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C19×#435C2211yescharacteristic, complemented
186C19×#435C2211yescharacteristic, complemented
187C8×D4×C19C2211yescharacteristic, complemented
188C8×D4×C19C2211yescharacteristic, complemented
189C19×#432C2211yescharacteristic, complemented
190C19×#431C2211yescharacteristic, complemented
191C19×#419C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic
193C19×#417C2211yescharacteristic
194C19×#417C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic
196C19×#416C2211yescharacteristic, complemented
197C2×C19×#103C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic
199C19×#408C2211yescharacteristic
200C19×#408C2211yescharacteristic
201C19×#408C2211yescharacteristic, complemented
202C19×#408C2211yescharacteristic, complemented
203C19×2−1+4—42no—
204C19×2−1+4—42no—
205C19×H(5,𝔽2)—42no—
206C19×H(5,𝔽2)—42no—
207C2×#41×C19—21no—
208C2×#41×C19—21no—
209C2×#41×C19—21no—
210C2×#41×C19—21no—
211C2×#41×C19C2311yescharacteristic
212C2×#41×C19C2311yescharacteristic
213C2×#41×C19C2311yescharacteristic
214C2×#41×C19C2311yescharacteristic
215C2×#41×C19C2311yescharacteristic
216C2×#41×C19C2311yescharacteristic
217C2×#41×C19C2311yescharacteristic
218C2×#41×C19C2311yescharacteristic
219C2×#41×C19C2311yescharacteristic
220C22×Q8×C19—21no—
221C22×Q8×C19C2311yescharacteristic
222C22×Q8×C19C2311yescharacteristic
223C22×Q8×C19C2311yescharacteristic
224C22×Q8×C19C2311yescharacteristic
225C22×Q8×C19C2311yescharacteristic
226C22×D4×C19—21no—
227C22×D4×C19—21no—
228C22×D4×C19—21no—
229C22×D4×C19C2311yescharacteristic
230C22×D4×C19C2311yescharacteristic
231C22×D4×C19C2311yescharacteristic
232C19×#137—42no—
233C19×#137—42no—
234C19×#137—42no—
235C19×AGL(1,ℤ/8)—42no—
236C19×#135—42no—
237C19×#135—42no—
238C2×Q16×C19—42no—
239C2×Q16×C19C2311yescharacteristic
240C2×Q16×C19C2311yescharacteristic
241C2×Q16×C19C2311yescharacteristic
242C2×Q16×C19C2311yescharacteristic
243C2×Q16×C19C2311yescharacteristic
244C2×Q16×C19C2311yescharacteristic
245C2×Q16×C19C2311yescharacteristic
246C2×Q16×C19C2311yescharacteristic
247C2×Q16×C19C2311yescharacteristic
248C2×SD16×C19—42no—
249C2×SD16×C19C2311yescharacteristic
250C2×SD16×C19C2311yescharacteristic
251C2×SD16×C19C2311yescharacteristic
252C2×SD16×C19C2311yescharacteristic
253C2×SD16×C19C2311yescharacteristic
254C2×SD16×C19C2311yescharacteristic
255C2×SD16×C19C2311yescharacteristic
256C2×SD16×C19C2311yescharacteristic
257C2×SD16×C19C2311yescharacteristic
258C2×SD16×C19C2311yescharacteristic
259C2×SD16×C19C2311yescharacteristic
260C2×SD16×C19C2311yescharacteristic
261C2×D8×C19C2311yescharacteristic
262C2×D8×C19C2311yescharacteristic
263C2×D8×C19C2311yescharacteristic
264C2×M16×C19C2311yescharacteristic
265C2×M16×C19C2311yescharacteristic
266C2×M16×C19C2311yescharacteristic
267C2×M16×C19C2311yescharacteristic
268C22×C8×C19C2311yescharacteristic
269C22×C8×C19C2311yescharacteristic
270C22×C8×C19C2311yescharacteristic
271C22×C8×C19C2311yescharacteristic
272C19×C4⋊Q8—21no—
273C19×C4⋊Q8—21no—
274C19×C4⋊Q8—21no—
275C19×C4⋊Q8—21no—
276C19×C4⋊Q8D411yescharacteristic
277C19×C4⋊Q8C2311yescharacteristic
278C19×C4⋊Q8C2311yescharacteristic
279C19×#127—21no—
280C19×#127D411yescharacteristic
281C19×#126—21no—
282C19×#126—21no—
283C19×#126—21no—
284C19×#125—21no—
285C19×#125—21no—
286C19×#125—21no—
287C19×#125—21no—
288C19×#125C2311yescharacteristic
289C19×#124—21no—
290C19×#124—21no—
291C19×#124—21no—
292C19×#124—21no—
293C19×#124—21no—
294C19×#124—21no—
295C19×#124—21no—
296C19×#124—21no—
297C19×#124—21no—
298C19×#124—21no—
299C19×#124—21no—
300C19×#124—21no—
301C19×#124—21no—
302C19×#124—21no—
303C19×#124D411yescharacteristic
304C19×#124D411yescharacteristic
305C19×#124C2311yescharacteristic
306C19×#124C2311yescharacteristic
307C19×#124C2311yescharacteristic
308C19×#124C2311yescharacteristic
309C19×#124C2311yescharacteristic
310C19×#123—21no—
311C19×#123—21no—
312C19×#123—21no—
313C19×#123—21no—
314C19×#123—21no—
315C19×#123—21no—
316C19×#123—21no—
317C19×#123—21no—
318C19×#123—21no—
319C19×#123—21no—
320C19×#123—21no—
321C19×#123—21no—
322C19×#123—21no—
323C19×#123—21no—
324C19×#123—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊Q8—21no—
327C19×C22⋊Q8—21no—
328C19×C22⋊Q8—21no—
329C19×C22⋊Q8—21no—
330C19×C22⋊Q8—21no—
331C19×C22⋊Q8—21no—
332C19×C22⋊Q8—21no—
333C19×C22⋊Q8—21no—
334C19×C22⋊Q8—21no—
335C19×C22⋊Q8—21no—
336C19×C22⋊Q8—21no—
337C19×C22⋊Q8—21no—
338C19×C22⋊Q8C2311yescharacteristic
339C19×C22⋊Q8C2311yescharacteristic
340C19×C22⋊Q8C2311yescharacteristic
341C19×C22⋊Q8C2311yescharacteristic
342C19×C22⋊Q8C2311yescharacteristic
343C19×C22⋊Q8C2311yescharacteristic
344C19×C22⋊Q8C2311yescharacteristic
345C19×C22⋊Q8C2311yescharacteristic
346C19×C22⋊Q8C2311yescharacteristic
347C19×C22⋊Q8C2311yescharacteristic
348C19×C22⋊Q8C2311yescharacteristic
349C19×C22⋊Q8C2311yescharacteristic
350C19×C22⋊Q8C2311yescharacteristic
351C19×#121—21no—
352C19×#121—21no—
353C19×#121—21no—
354C19×#121—21no—
355C19×#121—21no—
356C19×#121—21no—
357C19×#121—21no—
358C19×#121—21no—
359C19×#121—21no—
360C19×#121—21no—
361C19×#121—21no—
362C19×#121—21no—
363C19×#121—21no—
364C19×#121—21no—
365C19×#121—21no—
366C19×#121—21no—
367C19×#121—21no—
368C19×#121—21no—
369C19×#121D411yescharacteristic
370C19×#121D411yescharacteristic
371C19×#121D411yescharacteristic
372C19×#121D411yescharacteristic
373C19×#121C2311yescharacteristic
374C19×#121C2311yescharacteristic
375C19×#121C2311yescharacteristic
376C19×#121C2311yescharacteristic
377C19×#121C2311yescharacteristic
378C19×#121C2311yescharacteristic
379C19×#121C2311yescharacteristic
380C19×#120—21no—
381C19×#120—21no—
382C19×#120—21no—
383C19×#120—21no—
384C19×#120—21no—
385C19×#120—21no—
386C4×Q8×C19—21no—
387C4×Q8×C19C2311yescharacteristic
388C4×Q8×C19C2311yescharacteristic
389C4×Q8×C19C2311yescharacteristic
390C4×Q8×C19C2311yescharacteristic
391C4×Q8×C19C2311yescharacteristic
392C4×D4×C19—21no—
393C4×D4×C19—21no—
394C4×D4×C19—21no—
395C4×D4×C19—21no—
396C4×D4×C19—21no—
397C4×D4×C19—21no—
398C4×D4×C19—21no—
399C4×D4×C19—21no—
400C4×D4×C19—21no—
401C4×D4×C19—21no—
402C4×D4×C19—21no—
403C4×D4×C19C2311yescharacteristic
404C4×D4×C19C2311yescharacteristic
405C4×D4×C19C2311yescharacteristic
406C4×D4×C19C2311yescharacteristic
407C4×D4×C19C2311yescharacteristic
408C4×D4×C19C2311yescharacteristic
409C4×D4×C19C2311yescharacteristic
410C19×#117—21no—
411C19×#117—21no—
412C19×#117—21no—
413C19×#117—21no—
414C19×#117—21no—
415C19×#117—21no—
416C19×#117C2311yescharacteristic
417C19×#117C2311yescharacteristic
418C19×#117C2311yescharacteristic
419C2×C4⋊C4×C19—21no—
420C2×C4⋊C4×C19C2311yescharacteristic
421C2×C4⋊C4×C19C2311yescharacteristic
422C2×C22⋊C4×C19—21no—
423C2×C22⋊C4×C19—21no—
424C2×C22⋊C4×C19—21no—
425C2×C22⋊C4×C19—21no—
426C2×C22⋊C4×C19—21no—
427C2×C22⋊C4×C19—21no—
428C2×C42×C19—21no—
429C2×C42×C19C2311yescharacteristic
430C19×#107C2311yescharacteristic
431C19×#107C2311yescharacteristic
432C19×#107C2311yescharacteristic
433C19×#107C2311yescharacteristic
434C19×#106C2311yescharacteristic
435C19×#106C2311yescharacteristic
436C19×#106C2311yescharacteristic
437C19×#106C2311yescharacteristic
438C19×C4⋊C8C2311yescharacteristic
439C19×C4⋊C8C2311yescharacteristic
440C19×C4⋊C8C2311yescharacteristic
441C19×C4⋊C8C2311yescharacteristic
442C19×#103C2311yescharacteristic
443C19×#103C2311yescharacteristic
444C19×#103C2311yescharacteristic
445C19×#103C2311yescharacteristic
446C19×#103C2311yescharacteristic
447C19×#103C2311yescharacteristic
448C19×#103C2311yescharacteristic
449C19×#103C2311yescharacteristic
450C19×#103C2311yescharacteristic
451C19×#103C2311yescharacteristic
452C19×#103C2311yescharacteristic
453C19×#103C2311yescharacteristic
454C19×#103C2311yescharacteristic
455C19×#103C2311yescharacteristic
456C19×#103C2311yescharacteristic
457C19×#103C2311yescharacteristic
458C19×#103C2311yescharacteristic
459C19×#103C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#102C2311yescharacteristic
467C19×#102C2311yescharacteristic
468C19×#102C2311yescharacteristic
469C19×#102C2311yescharacteristic
470C19×#102C2311yescharacteristic
471C19×#102C2311yescharacteristic
472C19×#102C2311yescharacteristic
473C19×#102C2311yescharacteristic
474C19×C22⋊C8C2311yescharacteristic
475C19×C22⋊C8C2311yescharacteristic
476C19×C22⋊C8C2311yescharacteristic
477C19×C22⋊C8C2311yescharacteristic
478C19×C22⋊C8C2311yescharacteristic
479C19×C22⋊C8C2311yescharacteristic
480C19×C22⋊C8C2311yescharacteristic
481C19×C22⋊C8C2311yescharacteristic
482C19×C22⋊C8C2311yescharacteristic
483C19×C22⋊C8C2311yescharacteristic
484C19×C22⋊C8C2311yescharacteristic
485C19×C22⋊C8C2311yescharacteristic
486C19×#97C2311yescharacteristic
487C19×#97C2311yescharacteristic
488C4×C8×C19C2311yescharacteristic
489C4×C8×C19C2311yescharacteristic
490C24×C19—21no—
491C24×C19—21no—
492C24×C19—21no—
493#41×C19—22no—
494#41×C19—22no—
495#41×C19—22no—
496#41×C19—22no—
497#41×C19—22no—
498#41×C19—22no—
499#41×C19—41no—
500#41×C19—41no—
501#41×C19—41no—
502#41×C19—41no—
503#41×C19—41no—
504#41×C19—41no—
505#41×C19—41no—
506#41×C19—41no—
507#41×C19—44no—
508#41×C19—44no—
509#41×C19—41no—
510#41×C19—41no—
511#41×C19—41no—
512#41×C19—41no—
513#41×C19—44no—
514#41×C19—44no—
515C2×Q8×C19—21no—
516C2×Q8×C19—21no—
517C2×Q8×C19—21no—
518C2×Q8×C19—21no—
519C2×Q8×C19—21no—
520C2×Q8×C19—21no—
521C2×Q8×C19—22no—
522C2×Q8×C19—22no—
523C2×Q8×C19—41no—
524C2×Q8×C19—41no—
525C2×Q8×C19—41no—
526C2×Q8×C19—41no—
527C2×Q8×C19—44no—
528C2×Q8×C19—41no—
529C2×Q8×C19—41no—
530C2×Q8×C19—41no—
531C2×Q8×C19—41no—
532C2×Q8×C19C2×D411yescharacteristic
533C2×Q8×C19C2×D411yescharacteristic
534C2×Q8×C19C2411yescharacteristic
535C2×Q8×C19C2411yescharacteristic
536C2×Q8×C19C2411yescharacteristic
537C2×Q8×C19C2411yescharacteristic
538C2×Q8×C19C2411yescharacteristic
539C2×Q8×C19C2411yescharacteristic
540C2×D4×C19—21no—
541C2×D4×C19—22no—
542C2×D4×C19—22no—
543C2×D4×C19—21no—
544C2×D4×C19—21no—
545C2×D4×C19—21no—
546C2×D4×C19—21no—
547C2×D4×C19—21no—
548C2×D4×C19—21no—
549C2×D4×C19—21no—
550C2×D4×C19—21no—
551C2×D4×C19—21no—
552C2×D4×C19—21no—
553C2×D4×C19—21no—
554C2×D4×C19—21no—
555C2×D4×C19—21no—
556C2×D4×C19—21no—
557C2×D4×C19—21no—
558C2×D4×C19—21no—
559C2×D4×C19—41no—
560C2×D4×C19—41no—
561C2×D4×C19—41no—
562C2×D4×C19—41no—
563C2×D4×C19—44no—
564C2×D4×C19—44no—
565C2×D4×C19—44no—
566C2×D4×C19C2×D411yescharacteristic
567C2×D4×C19C2×D411yescharacteristic
568C2×D4×C19C2×D411yescharacteristic
569C2×D4×C19C2×D411yescharacteristic
570C2×D4×C19C2×D411yescharacteristic
571C2×D4×C19C2×D411yescharacteristic
572C2×D4×C19C2×D411yescharacteristic
573C2×D4×C19C2×D411yescharacteristic
574C2×D4×C19C2×D411yescharacteristic
575C2×D4×C19C2×D411yescharacteristic
576C2×D4×C19C2411yescharacteristic
577C2×D4×C19C2411yescharacteristic
578C2×D4×C19C2411yescharacteristic
579C2×D4×C19C2411yescharacteristic
580C22×C4×C19—21no—
581C22×C4×C19—21no—
582C22×C4×C19—21no—
583C22×C4×C19—21no—
584C22×C4×C19—21no—
585C22×C4×C19—21no—
586C22×C4×C19—21no—
587C22×C4×C19—21no—
588C22×C4×C19—21no—
589C22×C4×C19—21no—
590C22×C4×C19—21no—
591C22×C4×C19—21no—
592C22×C4×C19—21no—
593C22×C4×C19—21no—
594C22×C4×C19—21no—
595C22×C4×C19—21no—
596C22×C4×C19—21no—
597C22×C4×C19C2×D411yescharacteristic
598C22×C4×C19C2×D411yescharacteristic
599C22×C4×C19C2411yescharacteristic
600C22×C4×C19C2411yescharacteristic
601C22×C4×C19C2411yescharacteristic
602C22×C4×C19C2411yescharacteristic
603C22×C4×C19C2411yescharacteristic
604Q16×C19—22no—
605Q16×C19—22no—
606Q16×C19—22no—
607Q16×C19—41no—
608Q16×C19—41no—
609Q16×C19—41no—
610Q16×C19—41no—
611Q16×C19—41no—
612Q16×C19—41no—
613SD16×C19—22no—
614SD16×C19—22no—
615SD16×C19—22no—
616SD16×C19—22no—
617SD16×C19—41no—
618SD16×C19—41no—
619SD16×C19—41no—
620SD16×C19—41no—
621SD16×C19—41no—
622SD16×C19—41no—
623SD16×C19—41no—
624SD16×C19—41no—
625D8×C19—22no—
626D8×C19—41no—
627D8×C19—41no—
628M16×C19—41no—
629M16×C19—41no—
630M16×C19—41no—
631M16×C19—41no—
632C2×C8×C19—41no—
633C2×C8×C19—41no—
634C2×C8×C19—41no—
635C2×C8×C19—41no—
636C2×C8×C19C2411yescharacteristic
637C2×C8×C19C2411yescharacteristic
638C2×C8×C19C2411yescharacteristic
639C2×C8×C19C2411yescharacteristic
640C2×C8×C19C2411yescharacteristic
641C2×C8×C19C2411yescharacteristic
642C2×C8×C19C2411yescharacteristic
643C2×C8×C19C2411yescharacteristic
644C4⋊C4×C19—21no—
645C4⋊C4×C19—21no—
646C4⋊C4×C19—21no—
647C4⋊C4×C19—21no—
648C4⋊C4×C19—21no—
649C4⋊C4×C19—21no—
650C4⋊C4×C19—21no—
651C4⋊C4×C19—21no—
652C4⋊C4×C19—21no—
653C4⋊C4×C19—21no—
654C4⋊C4×C19—21no—
655C4⋊C4×C19—21no—
656C4⋊C4×C19—21no—
657C4⋊C4×C19—21no—
658C4⋊C4×C19—21no—
659C4⋊C4×C19—21no—
660C4⋊C4×C19—21no—
661C4⋊C4×C19—21no—
662C4⋊C4×C19—21no—
663C4⋊C4×C19—21no—
664C4⋊C4×C19—21no—
665C4⋊C4×C19—21no—
666C4⋊C4×C19—21no—
667C4⋊C4×C19—21no—
668C4⋊C4×C19—21no—
669C4⋊C4×C19C2×D411yescharacteristic
670C4⋊C4×C19C2×D411yescharacteristic
671C4⋊C4×C19C2×D411yescharacteristic
672C4⋊C4×C19C2×D411yescharacteristic
673C4⋊C4×C19C2411yescharacteristic
674C4⋊C4×C19C2411yescharacteristic
675C4⋊C4×C19C2411yescharacteristic
676C4⋊C4×C19C2411yescharacteristic
677C4⋊C4×C19C2411yescharacteristic
678C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
696C22⋊C4×C19—21no—
697C22⋊C4×C19—21no—
698C22⋊C4×C19—21no—
699C22⋊C4×C19—21no—
700C22⋊C4×C19—21no—
701C22⋊C4×C19—21no—
702C22⋊C4×C19—21no—
703C22⋊C4×C19—21no—
704C22⋊C4×C19—21no—
705C22⋊C4×C19—21no—
706C22⋊C4×C19—21no—
707C22⋊C4×C19—21no—
708C22⋊C4×C19—21no—
709C22⋊C4×C19—21no—
710C22⋊C4×C19—21no—
711C22⋊C4×C19—21no—
712C22⋊C4×C19—21no—
713C22⋊C4×C19—21no—
714C22⋊C4×C19—21no—
715C22⋊C4×C19C2×D411yescharacteristic
716C22⋊C4×C19C2×D411yescharacteristic
717C22⋊C4×C19C2×D411yescharacteristic
718C22⋊C4×C19C2×D411yescharacteristic
719C22⋊C4×C19C2×D411yescharacteristic
720C22⋊C4×C19C2×D411yescharacteristic
721C22⋊C4×C19C2×D411yescharacteristic
722C22⋊C4×C19C2×D411yescharacteristic
723C42×C19—21no—
724C42×C19—21no—
725C42×C19—21no—
726C42×C19—21no—
727C42×C19—21no—
728C42×C19—21no—
729C42×C19—21no—
730C42×C19—21no—
731C42×C19C2×D411yescharacteristic
732C42×C19C2×D411yescharacteristic
733C42×C19C2411yescharacteristic
734C42×C19C2411yescharacteristic
735#61691C1911yesmaximal, characteristic, direct product factor, Sylow
736C23×C19—21no—
737C23×C19—21no—
738C23×C19—21no—
739C23×C19—21no—
740C23×C19—42no—
741C23×C19—42no—
742C23×C19—42no—
743C23×C19—81no—
744C23×C19—81no—
745C23×C19—81no—
746C23×C19—81no—
747C23×C19—81no—
748C23×C19—81no—
749C23×C19C22×D411yescharacteristic
750C23×C19C22×D411yescharacteristic
751C23×C19C22×D411yescharacteristic
752C23×C19C22×D411yescharacteristic
753C23×C19C22×D411yescharacteristic
754Q8×C19—21no—
755Q8×C19—21no—
756Q8×C19—21no—
757Q8×C19—21no—
758Q8×C19—21no—
759Q8×C19—21no—
760Q8×C19—21no—
761Q8×C19—21no—
762Q8×C19—21no—
763Q8×C19—21no—
764Q8×C19—21no—
765Q8×C19—41no—
766Q8×C19—41no—
767Q8×C19—42no—
768Q8×C19—42no—
769Q8×C19—42no—
770Q8×C19—81no—
771Q8×C19—81no—
772Q8×C19—81no—
773Q8×C19H(5,𝔽2)12yes—
774D4×C19—24no—
775D4×C19—21no—
776D4×C19—21no—
777D4×C19—21no—
778D4×C19—21no—
779D4×C19—21no—
780D4×C19—21no—
781D4×C19—21no—
782D4×C19—41no—
783D4×C19—41no—
784D4×C19—41no—
785D4×C19—41no—
786D4×C19—41no—
787D4×C19—41no—
788D4×C19—41no—
789D4×C19—41no—
790D4×C19—41no—
791D4×C19—41no—
792D4×C19—42no—
793D4×C19—42no—
794D4×C19—42no—
795D4×C19—42no—
796D4×C19—42no—
797D4×C19—42no—
798D4×C19—42no—
799D4×C19—81no—
800D4×C19—81no—
801D4×C19—81no—
802D4×C19—81no—
803D4×C19—81no—
804D4×C19—81no—
805D4×C19—81no—
806D4×C19—81no—
807D4×C19—81no—
808D4×C19H(5,𝔽2)12yes—
809C2×C4×C19—24no—
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—21no—
826C2×C4×C19—21no—
827C2×C4×C19—21no—
828C2×C4×C19—21no—
829C2×C4×C19—21no—
830C2×C4×C19—21no—
831C2×C4×C19—21no—
832C2×C4×C19—41no—
833C2×C4×C19—41no—
834C2×C4×C19—42no—
835C2×C4×C19—42no—
836C2×C4×C19—42no—
837C2×C4×C19—42no—
838C2×C4×C19—42no—
839C2×C4×C19—42no—
840C2×C4×C19—42no—
841C2×C4×C19—42no—
842C2×C4×C19—81no—
843C2×C4×C19—81no—
844C2×C4×C19—81no—
845C2×C4×C19—81no—
846C2×C4×C19—81no—
847C2×C4×C19—81no—
848C2×C4×C19—81no—
849C2×C4×C19—81no—
850C2×C4×C19C22×D411yescharacteristic
851C2×C4×C19C22×D411yescharacteristic
852C2×C4×C19C22×D411yescharacteristic
853C2×C4×C19C22×D411yescharacteristic
854C2×C4×C19C22×D411yescharacteristic
855C2×C4×C19C22×D411yescharacteristic
856C2×C4×C19C22×D411yescharacteristic
857C2×C4×C19C22×D411yescharacteristic
858C2×C4×C19C22×D411yescharacteristic
859C2×C4×C19C2511yescharacteristic
860C8×C19—21no—
861C8×C19—21no—
862C8×C19—21no—
863C8×C19—21no—
864C8×C19—21no—
865C8×C19—21no—
866C8×C19—21no—
867C8×C19—21no—
868#3547C2×C1911yescharacteristic, complemented
869#3500C2×C1911yescharacteristic, complemented
870#3327C2×C1911yescharacteristic, complemented
871#3323C2×C1911yescharacteristic, complemented
872#3321C2×C1911yescharacteristic, complemented
873#3319C2×C1911yescharacteristic, complemented
874#3316C2×C1911yescharacteristic, complemented
875#3314C2×C1911yescharacteristic, complemented
876#3300C2×C1911yescharacteristic, complemented
877#3296C2×C1911yescharacteristic, complemented
878#3285C2×C1911yescharacteristic, complemented
879#3282C2×C1911yescharacteristic, complemented
880#3277C2×C1911yescharacteristic, complemented
881#3275C2×C1911yescharacteristic, complemented
882#3270C2×C1911yescharacteristic, complemented
883#3269C2×C1911yescharacteristic, complemented
884#3267C2×C1911yescharacteristic, complemented
885#3266C2×C1911yescharacteristic, complemented
886#3215C2×C1911yescharacteristic, complemented
887#3211C2×C1911yescharacteristic, complemented
888#3202C2×C1911yescharacteristic, complemented
889#3201C2×C1911yescharacteristic, complemented
890#3200C2×C1911yescharacteristic, complemented
891#3198C2×C1911yescharacteristic, complemented
892#3111C2×C1911yescharacteristic, complemented
893#3107C2×C1911yescharacteristic, complemented
894#3013C2×C1911yescharacteristic, complemented
895#3012C2×C1911yescharacteristic, complemented
896#3011C2×C1911yescharacteristic, complemented
897#3009C2×C1911yescharacteristic, complemented
898#2981C2×C1911yescharacteristic, complemented
899C22×C19—21no—
900C22×C19—21no—
901C22×C19—21no—
902C22×C19—21no—
903C22×C19—21no—
904C22×C19—21no—
905C22×C19—21no—
906C22×C19—21no—
907C22×C19—21no—
908C22×C19—21no—
909C22×C19—21no—
910C22×C19—21no—
911C22×C19—22no—
912C22×C19—21no—
913C22×C19—21no—
914C22×C19—21no—
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—41no—
926C22×C19—162no—
927C22×C19—162no—
928C22×C19—162no—
929C22×C19C23×D411yescharacteristic
930C4×C19—21no—
931C4×C19—21no—
932C4×C19—21no—
933C4×C19—21no—
934C4×C19—21no—
935C4×C19—22no—
936C4×C19—21no—
937C4×C19—21no—
938C4×C19—21no—
939C4×C19—21no—
940C4×C19—41no—
941C4×C19—41no—
942C4×C19—41no—
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×C19C2×H(5,𝔽2)11yescharacteristic
952C4×C19C2×H(5,𝔽2)11yescharacteristic
953C2×2−1+4C22×C1911yescharacteristic
954C2×H(5,𝔽2)C22×C1911yescharacteristic
955C2×#137C22×C1911yescharacteristic
956C2×#137C22×C1911yescharacteristic, complemented
957C2×#137C22×C1911yescharacteristic, complemented
958C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
959C2×#135C22×C1911yescharacteristic
960C2×#135C22×C1911yescharacteristic, complemented
961C22×Q16C22×C1911yescharacteristic, complemented
962C22×SD16C22×C1911yescharacteristic
963#562—21no—
964#562—21no—
965#555—21no—
966#555C22×C1911yescharacteristic, complemented
967#554C22×C1911yescharacteristic, complemented
968#553—21no—
969#552C22×C1911yescharacteristic, complemented
970#552C22×C1911yescharacteristic, complemented
971D4×Q8C22×C1911yescharacteristic, complemented
972#548C22×C1911yescharacteristic
973#548C22×C1911yescharacteristic
974#548C22×C1911yescharacteristic
975#548C22×C1911yescharacteristic
976#548C22×C1911yescharacteristic, complemented
977#548C22×C1911yescharacteristic, complemented
978#547C22×C1911yescharacteristic, complemented
979#546—21no—
980#546—21no—
981#546—21no—
982#546—21no—
983#546C22×C1911yescharacteristic
984#546C22×C1911yescharacteristic
985#546C22×C1911yescharacteristic
986#546C22×C1911yescharacteristic
987#544—21no—
988#542—21no—
989#542—21no—
990#540—21no—
991#537C22×C1911yescharacteristic
992#537C22×C1911yescharacteristic, complemented
993#536—21no—
994#536C22×C1911yescharacteristic
995#536C22×C1911yescharacteristic
996#536C22×C1911yescharacteristic, complemented
997#535—21no—
998#535C22×C1911yescharacteristic
999#533C22×C1911yescharacteristic, complemented
1000#532—21no—
1001#532C22×C1911yescharacteristic
1002#529C22×C1911yescharacteristic, complemented
1003C2×#124—21no—
1004C2×#124C22×C1911yescharacteristic
1005C4×#41C22×C1911yescharacteristic
1006#497C22×C1911yescharacteristic, complemented
1007#497C22×C1911yescharacteristic, complemented
1008#495C22×C1911yescharacteristic, complemented
1009#495C22×C1911yescharacteristic, complemented
1010#489C22×C1911yescharacteristic, complemented
1011#489C22×C1911yescharacteristic, complemented
1012#488C22×C1911yescharacteristic, complemented
1013#488C22×C1911yescharacteristic, complemented
1014#485C22×C1911yescharacteristic, complemented
1015#485C22×C1911yescharacteristic, complemented
1016#485C22×C1911yescharacteristic, complemented
1017#485C22×C1911yescharacteristic, complemented
1018#485C22×C1911yescharacteristic, complemented
1019#484C22×C1911yescharacteristic, complemented
1020#483C22×C1911yescharacteristic, complemented
1021#482C22×C1911yescharacteristic, complemented
1022#482C22×C1911yescharacteristic, complemented
1023#482C22×C1911yescharacteristic, complemented
1024#481C22×C1911yescharacteristic, complemented
1025#480C22×C1911yescharacteristic, complemented
1026#479C22×C1911yescharacteristic, complemented
1027#478C22×C1911yescharacteristic, complemented
1028#475C22×C1911yescharacteristic, complemented
1029#474C22×C1911yescharacteristic, complemented
1030#470C22×C1911yescharacteristic, complemented
1031#470C22×C1911yescharacteristic, complemented
1032#470C22×C1911yescharacteristic, complemented
1033#469C22×C1911yescharacteristic, complemented
1034#468C22×C1911yescharacteristic, complemented
1035#468C22×C1911yescharacteristic, complemented
1036#468C22×C1911yescharacteristic, complemented
1037#468C22×C1911yescharacteristic, complemented
1038#467C22×C1911yescharacteristic, complemented
1039#467C22×C1911yescharacteristic, complemented
1040#467C22×C1911yescharacteristic, complemented
1041#466C22×C1911yescharacteristic, complemented
1042#465C22×C1911yescharacteristic, complemented
1043#465C22×C1911yescharacteristic, complemented
1044#465C22×C1911yescharacteristic, complemented
1045#465C22×C1911yescharacteristic, complemented
1046#464C22×C1911yescharacteristic, complemented
1047#464C22×C1911yescharacteristic, complemented
1048#464C22×C1911yescharacteristic, complemented
1049#464C22×C1911yescharacteristic, complemented
1050#464C22×C1911yescharacteristic, complemented
1051#464C22×C1911yescharacteristic, complemented
1052#464C22×C1911yescharacteristic, complemented
1053#463C22×C1911yescharacteristic, complemented
1054#463C22×C1911yescharacteristic, complemented
1055#463C22×C1911yescharacteristic, complemented
1056#462C22×C1911yescharacteristic, complemented
1057#461C22×C1911yescharacteristic, complemented
1058#452C22×C1911yescharacteristic
1059#452C22×C1911yescharacteristic
1060#452C22×C1911yescharacteristic
1061#452C22×C1911yescharacteristic
1062#452C22×C1911yescharacteristic
1063#452C22×C1911yescharacteristic
1064#452C22×C1911yescharacteristic, complemented
1065#452C22×C1911yescharacteristic, complemented
1066#452C22×C1911yescharacteristic, complemented
1067#452C22×C1911yescharacteristic, complemented
1068#452C22×C1911yescharacteristic, complemented
1069#451C22×C1911yescharacteristic, complemented
1070#451C22×C1911yescharacteristic, complemented
1071#451C22×C1911yescharacteristic, complemented
1072#451C22×C1911yescharacteristic, complemented
1073#451C22×C1911yescharacteristic, complemented
1074#451C22×C1911yescharacteristic, complemented
1075#451C22×C1911yescharacteristic, complemented
1076#451C22×C1911yescharacteristic, complemented
1077#450C22×C1911yescharacteristic
1078#450C22×C1911yescharacteristic
1079#450C22×C1911yescharacteristic
1080#450C22×C1911yescharacteristic
1081#450C22×C1911yescharacteristic
1082#450C22×C1911yescharacteristic
1083#449C22×C1911yescharacteristic
1084#449C22×C1911yescharacteristic
1085#449C22×C1911yescharacteristic, complemented
1086#449C22×C1911yescharacteristic, complemented
1087#449C22×C1911yescharacteristic, complemented
1088#448C22×C1911yescharacteristic, complemented
1089#448C22×C1911yescharacteristic, complemented
1090#448C22×C1911yescharacteristic, complemented
1091#448C22×C1911yescharacteristic, complemented
1092#447C22×C1911yescharacteristic
1093#447C22×C1911yescharacteristic
1094#442C22×C1911yescharacteristic, complemented
1095#441C22×C1911yescharacteristic, complemented
1096#440C22×C1911yescharacteristic, complemented
1097#440C22×C1911yescharacteristic, complemented
1098C4×Q16C22×C1911yescharacteristic, complemented
1099C4×Q16C22×C1911yescharacteristic, complemented
1100C4×SD16C22×C1911yescharacteristic, complemented
1101C4×SD16C22×C1911yescharacteristic, complemented
1102#436C22×C1911yescharacteristic, complemented
1103#436C22×C1911yescharacteristic, complemented
1104#435C22×C1911yescharacteristic, complemented
1105#435C22×C1911yescharacteristic, complemented
1106#435C22×C1911yescharacteristic, complemented
1107#435C22×C1911yescharacteristic, complemented
1108C8×D4C22×C1911yescharacteristic, complemented
1109C8×D4C22×C1911yescharacteristic, complemented
1110#432C22×C1911yescharacteristic, complemented
1111#431C22×C1911yescharacteristic, complemented
1112#419C22×C1911yescharacteristic, complemented
1113#418C22×C1911yescharacteristic
1114#417C22×C1911yescharacteristic
1115#417C22×C1911yescharacteristic, complemented
1116#416C22×C1911yescharacteristic
1117#416C22×C1911yescharacteristic, complemented
1118C2×#103C22×C1911yescharacteristic, complemented
1119C2×#102C22×C1911yescharacteristic
1120#408C22×C1911yescharacteristic
1121#408C22×C1911yescharacteristic
1122#408C22×C1911yescharacteristic, complemented
1123#408C22×C1911yescharacteristic, complemented
1124C2×C19—41no—
1125C2×C19—41no—
1126C2×C19—41no—
1127C2×C19—41no—
1128C2×C19—41no—
1129C2×C19—42no—
1130C2×C19—81no—
1131C2×C19—81no—
1132C2×C19—81no—
1133C2×C19#348411yescharacteristic
1134C2×C19#358411yescharacteristic
1135C2×C19#358611yescharacteristic
11362−1+4—42no—
11372−1+4—42no—
1138H(5,𝔽2)—42no—
1139H(5,𝔽2)—42no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41C23×C1911yescharacteristic
1145C2×#41C23×C1911yescharacteristic
1146C2×#41C23×C1911yescharacteristic
1147C2×#41C23×C1911yescharacteristic
1148C2×#41C23×C1911yescharacteristic
1149C2×#41C23×C1911yescharacteristic
1150C2×#41C23×C1911yescharacteristic
1151C2×#41C23×C1911yescharacteristic
1152C2×#41C23×C1911yescharacteristic
1153C22×Q8—21no—
1154C22×Q8C23×C1911yescharacteristic
1155C22×Q8C23×C1911yescharacteristic
1156C22×Q8C23×C1911yescharacteristic
1157C22×Q8C23×C1911yescharacteristic
1158C22×Q8C23×C1911yescharacteristic
1159C22×D4—21no—
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4C23×C1911yescharacteristic
1163C22×D4C23×C1911yescharacteristic
1164C22×D4C23×C1911yescharacteristic
1165#137—42no—
1166#137—42no—
1167#137—42no—
1168AGL(1,ℤ/8)—42no—
1169#135—42no—
1170#135—42no—
1171C2×Q16—42no—
1172C2×Q16C23×C1911yescharacteristic
1173C2×Q16C23×C1911yescharacteristic
1174C2×Q16C23×C1911yescharacteristic
1175C2×Q16C23×C1911yescharacteristic
1176C2×Q16C23×C1911yescharacteristic
1177C2×Q16C23×C1911yescharacteristic
1178C2×Q16C23×C1911yescharacteristic
1179C2×Q16C23×C1911yescharacteristic
1180C2×Q16C23×C1911yescharacteristic
1181C2×SD16—42no—
1182C2×SD16C23×C1911yescharacteristic
1183C2×SD16C23×C1911yescharacteristic
1184C2×SD16C23×C1911yescharacteristic
1185C2×SD16C23×C1911yescharacteristic
1186C2×SD16C23×C1911yescharacteristic
1187C2×SD16C23×C1911yescharacteristic
1188C2×SD16C23×C1911yescharacteristic
1189C2×SD16C23×C1911yescharacteristic
1190C2×SD16C23×C1911yescharacteristic
1191C2×SD16C23×C1911yescharacteristic
1192C2×SD16C23×C1911yescharacteristic
1193C2×SD16C23×C1911yescharacteristic
1194C2×D8C23×C1911yescharacteristic
1195C2×D8C23×C1911yescharacteristic
1196C2×D8C23×C1911yescharacteristic
1197C2×M16C23×C1911yescharacteristic
1198C2×M16C23×C1911yescharacteristic
1199C2×M16C23×C1911yescharacteristic
1200C2×M16C23×C1911yescharacteristic
1201C22×C8C23×C1911yescharacteristic
1202C22×C8C23×C1911yescharacteristic
1203C22×C8C23×C1911yescharacteristic
1204C22×C8C23×C1911yescharacteristic
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8—21no—
1208C4⋊Q8—21no—
1209C4⋊Q8D4×C1911yescharacteristic
1210C4⋊Q8C23×C1911yescharacteristic
1211C4⋊Q8C23×C1911yescharacteristic
1212#127—21no—
1213#127D4×C1911yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#125—21no—
1218#125—21no—
1219#125—21no—
1220#125—21no—
1221#125C23×C1911yescharacteristic
1222#124—21no—
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124D4×C1911yescharacteristic
1237#124D4×C1911yescharacteristic
1238#124C23×C1911yescharacteristic
1239#124C23×C1911yescharacteristic
1240#124C23×C1911yescharacteristic
1241#124C23×C1911yescharacteristic
1242#124C23×C1911yescharacteristic
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8C23×C1911yescharacteristic
1272C22⋊Q8C23×C1911yescharacteristic
1273C22⋊Q8C23×C1911yescharacteristic
1274C22⋊Q8C23×C1911yescharacteristic
1275C22⋊Q8C23×C1911yescharacteristic
1276C22⋊Q8C23×C1911yescharacteristic
1277C22⋊Q8C23×C1911yescharacteristic
1278C22⋊Q8C23×C1911yescharacteristic
1279C22⋊Q8C23×C1911yescharacteristic
1280C22⋊Q8C23×C1911yescharacteristic
1281C22⋊Q8C23×C1911yescharacteristic
1282C22⋊Q8C23×C1911yescharacteristic
1283C22⋊Q8C23×C1911yescharacteristic
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121D4×C1911yescharacteristic
1303#121D4×C1911yescharacteristic
1304#121D4×C1911yescharacteristic
1305#121D4×C1911yescharacteristic
1306#121C23×C1911yescharacteristic
1307#121C23×C1911yescharacteristic
1308#121C23×C1911yescharacteristic
1309#121C23×C1911yescharacteristic
1310#121C23×C1911yescharacteristic
1311#121C23×C1911yescharacteristic
1312#121C23×C1911yescharacteristic
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120—21no—
1319C4×Q8—21no—
1320C4×Q8C23×C1911yescharacteristic
1321C4×Q8C23×C1911yescharacteristic
1322C4×Q8C23×C1911yescharacteristic
1323C4×Q8C23×C1911yescharacteristic
1324C4×Q8C23×C1911yescharacteristic
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4C23×C1911yescharacteristic
1337C4×D4C23×C1911yescharacteristic
1338C4×D4C23×C1911yescharacteristic
1339C4×D4C23×C1911yescharacteristic
1340C4×D4C23×C1911yescharacteristic
1341C4×D4C23×C1911yescharacteristic
1342C4×D4C23×C1911yescharacteristic
1343#117—21no—
1344#117—21no—
1345#117—21no—
1346#117—21no—
1347#117—21no—
1348#117—21no—
1349#117C23×C1911yescharacteristic
1350#117C23×C1911yescharacteristic
1351#117C23×C1911yescharacteristic
1352C2×C4⋊C4—21no—
1353C2×C4⋊C4C23×C1911yescharacteristic
1354C2×C4⋊C4C23×C1911yescharacteristic
1355C2×C22⋊C4—21no—
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C42—21no—
1362C2×C42C23×C1911yescharacteristic
1363#107C23×C1911yescharacteristic
1364#107C23×C1911yescharacteristic
1365#107C23×C1911yescharacteristic
1366#107C23×C1911yescharacteristic
1367#106C23×C1911yescharacteristic
1368#106C23×C1911yescharacteristic
1369#106C23×C1911yescharacteristic
1370#106C23×C1911yescharacteristic
1371C4⋊C8C23×C1911yescharacteristic
1372C4⋊C8C23×C1911yescharacteristic
1373C4⋊C8C23×C1911yescharacteristic
1374C4⋊C8C23×C1911yescharacteristic
1375#103C23×C1911yescharacteristic
1376#103C23×C1911yescharacteristic
1377#103C23×C1911yescharacteristic
1378#103C23×C1911yescharacteristic
1379#103C23×C1911yescharacteristic
1380#103C23×C1911yescharacteristic
1381#103C23×C1911yescharacteristic
1382#103C23×C1911yescharacteristic
1383#103C23×C1911yescharacteristic
1384#103C23×C1911yescharacteristic
1385#103C23×C1911yescharacteristic
1386#103C23×C1911yescharacteristic
1387#103C23×C1911yescharacteristic
1388#103C23×C1911yescharacteristic
1389#103C23×C1911yescharacteristic
1390#103C23×C1911yescharacteristic
1391#103C23×C1911yescharacteristic
1392#103C23×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
1407C22⋊C8C23×C1911yescharacteristic
1408C22⋊C8C23×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
1417C22⋊C8C23×C1911yescharacteristic
1418C22⋊C8C23×C1911yescharacteristic
1419#97C23×C1911yescharacteristic
1420#97C23×C1911yescharacteristic
1421C4×C8C23×C1911yescharacteristic
1422C4×C8C23×C1911yescharacteristic
1423C19#6169111yescharacteristic, direct product factor, Sylow
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—22no—
1456C2×Q8—22no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—44no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8C2×D4×C1911yescharacteristic
1467C2×Q8C2×D4×C1911yescharacteristic
1468C2×Q8C24×C1911yescharacteristic
1469C2×Q8C24×C1911yescharacteristic
1470C2×Q8C24×C1911yescharacteristic
1471C2×Q8C24×C1911yescharacteristic
1472C2×Q8C24×C1911yescharacteristic
1473C2×Q8C24×C1911yescharacteristic
1474C2×D4—21no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4C2×D4×C1911yescharacteristic
1501C2×D4C2×D4×C1911yescharacteristic
1502C2×D4C2×D4×C1911yescharacteristic
1503C2×D4C2×D4×C1911yescharacteristic
1504C2×D4C2×D4×C1911yescharacteristic
1505C2×D4C2×D4×C1911yescharacteristic
1506C2×D4C2×D4×C1911yescharacteristic
1507C2×D4C2×D4×C1911yescharacteristic
1508C2×D4C2×D4×C1911yescharacteristic
1509C2×D4C2×D4×C1911yescharacteristic
1510C2×D4C24×C1911yescharacteristic
1511C2×D4C24×C1911yescharacteristic
1512C2×D4C24×C1911yescharacteristic
1513C2×D4C24×C1911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4C2×D4×C1911yescharacteristic
1532C22×C4C2×D4×C1911yescharacteristic
1533C22×C4C24×C1911yescharacteristic
1534C22×C4C24×C1911yescharacteristic
1535C22×C4C24×C1911yescharacteristic
1536C22×C4C24×C1911yescharacteristic
1537C22×C4C24×C1911yescharacteristic
1538Q16—22no—
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559D8—22no—
1560D8—41no—
1561D8—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8C24×C1911yescharacteristic
1571C2×C8C24×C1911yescharacteristic
1572C2×C8C24×C1911yescharacteristic
1573C2×C8C24×C1911yescharacteristic
1574C2×C8C24×C1911yescharacteristic
1575C2×C8C24×C1911yescharacteristic
1576C2×C8C24×C1911yescharacteristic
1577C2×C8C24×C1911yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4C2×D4×C1911yescharacteristic
1604C4⋊C4C2×D4×C1911yescharacteristic
1605C4⋊C4C2×D4×C1911yescharacteristic
1606C4⋊C4C2×D4×C1911yescharacteristic
1607C4⋊C4C24×C1911yescharacteristic
1608C4⋊C4C24×C1911yescharacteristic
1609C4⋊C4C24×C1911yescharacteristic
1610C4⋊C4C24×C1911yescharacteristic
1611C4⋊C4C24×C1911yescharacteristic
1612C4⋊C4C24×C1911yescharacteristic
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⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4C2×D4×C1911yescharacteristic
1650C22⋊C4C2×D4×C1911yescharacteristic
1651C22⋊C4C2×D4×C1911yescharacteristic
1652C22⋊C4C2×D4×C1911yescharacteristic
1653C22⋊C4C2×D4×C1911yescharacteristic
1654C22⋊C4C2×D4×C1911yescharacteristic
1655C22⋊C4C2×D4×C1911yescharacteristic
1656C22⋊C4C2×D4×C1911yescharacteristic
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42C2×D4×C1911yescharacteristic
1666C42C2×D4×C1911yescharacteristic
1667C42C24×C1911yescharacteristic
1668C42C24×C1911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—42no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C1911yescharacteristic
1683C23C22×D4×C1911yescharacteristic
1684C23C22×D4×C1911yescharacteristic
1685C23C22×D4×C1911yescharacteristic
1686C23C22×D4×C1911yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—41no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8C19×H(5,𝔽2)12yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4C19×H(5,𝔽2)12yes—
1742C2×C4—24no—
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—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4C22×D4×C1911yescharacteristic
1784C2×C4C22×D4×C1911yescharacteristic
1785C2×C4C22×D4×C1911yescharacteristic
1786C2×C4C22×D4×C1911yescharacteristic
1787C2×C4C22×D4×C1911yescharacteristic
1788C2×C4C22×D4×C1911yescharacteristic
1789C2×C4C22×D4×C1911yescharacteristic
1790C2×C4C22×D4×C1911yescharacteristic
1791C2×C4C22×D4×C1911yescharacteristic
1792C2×C4C25×C1911yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—162no—
1829C22—162no—
1830C22—162no—
1831C22C23×D4×C1911yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×C19×H(5,𝔽2)11yescharacteristic
1854C4C2×C19×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C19×#348411yescharacteristic
1865C2C19×#358411yescharacteristic
1866C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3547C2semidirect
2. C19×#3500C2semidirect
3. C19×#3327C2semidirect
4. C19×#3323C2semidirect
5. C19×#3321C2semidirect
6. C19×#3319C2semidirect
7. C19×#3316C2semidirect
8. C19×#3314C2semidirect
9. C19×#3300C2semidirect
10. C19×#3296C2semidirect
11. C19×#3285C2semidirect
12. C19×#3282C2semidirect
13. C19×#3277C2semidirect
14. C19×#3275C2semidirect
15. C19×#3270C2semidirect
16. C19×#3269C2semidirect
17. C19×#3267C2semidirect
18. C19×#3266C2semidirect
19. C19×#3215C2semidirect
20. C19×#3211C2semidirect
21. C19×#3202C2semidirect
22. C19×#3201C2semidirect
23. C19×#3200C2semidirect
24. C19×#3198C2semidirect
25. C19×#3111C2semidirect
26. C19×#3107C2semidirect
27. C19×#3013C2semidirect
28. C19×#3012C2semidirect
29. C19×#3011C2semidirect
30. C19×#3009C2semidirect
31. C19×#2981C2semidirect
35. C2×C19×#137C22semidirect
36. C2×C19×#137C22semidirect
39. C2×C19×#135C22semidirect
40. C22×Q16×C19C22semidirect
45. C19×#555C22semidirect
46. C19×#554C22semidirect
48. C19×#552C22semidirect
49. C19×#552C22semidirect
50. D4×Q8×C19C22semidirect
55. C19×#548C22semidirect
56. C19×#548C22semidirect
57. C19×#547C22semidirect
71. C19×#537C22semidirect
75. C19×#536C22semidirect
78. C19×#533C22semidirect
81. C19×#529C22semidirect
85. C19×#497C22semidirect
86. C19×#497C22semidirect
87. C19×#495C22semidirect
88. C19×#495C22semidirect
89. C19×#489C22semidirect
90. C19×#489C22semidirect
91. C19×#488C22semidirect
92. C19×#488C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#485C22semidirect
98. C19×#484C22semidirect
99. C19×#483C22semidirect
100. C19×#482C22semidirect
101. C19×#482C22semidirect
102. C19×#482C22semidirect
103. C19×#481C22semidirect
104. C19×#480C22semidirect
105. C19×#479C22semidirect
106. C19×#478C22semidirect
107. C19×#475C22semidirect
108. C19×#474C22semidirect
109. C19×#470C22semidirect
110. C19×#470C22semidirect
111. C19×#470C22semidirect
112. C19×#469C22semidirect
113. C19×#468C22semidirect
114. C19×#468C22semidirect
115. C19×#468C22semidirect
116. C19×#468C22semidirect
117. C19×#467C22semidirect
118. C19×#467C22semidirect
119. C19×#467C22semidirect
120. C19×#466C22semidirect
121. C19×#465C22semidirect
122. C19×#465C22semidirect
123. C19×#465C22semidirect
124. C19×#465C22semidirect
125. C19×#464C22semidirect
126. C19×#464C22semidirect
127. C19×#464C22semidirect
128. C19×#464C22semidirect
129. C19×#464C22semidirect
130. C19×#464C22semidirect
131. C19×#464C22semidirect
132. C19×#463C22semidirect
133. C19×#463C22semidirect
134. C19×#463C22semidirect
135. C19×#462C22semidirect
136. C19×#461C22semidirect
143. C19×#452C22semidirect
144. C19×#452C22semidirect
145. C19×#452C22semidirect
146. C19×#452C22semidirect
147. C19×#452C22semidirect
148. C19×#451C22semidirect
149. C19×#451C22semidirect
150. C19×#451C22semidirect
151. C19×#451C22semidirect
152. C19×#451C22semidirect
153. C19×#451C22semidirect
154. C19×#451C22semidirect
155. C19×#451C22semidirect
164. C19×#449C22semidirect
165. C19×#449C22semidirect
166. C19×#449C22semidirect
167. C19×#448C22semidirect
168. C19×#448C22semidirect
169. C19×#448C22semidirect
170. C19×#448C22semidirect
173. C19×#442C22semidirect
174. C19×#441C22semidirect
175. C19×#440C22semidirect
176. C19×#440C22semidirect
177. C4×Q16×C19C22semidirect
178. C4×Q16×C19C22semidirect
179. C4×SD16×C19C22semidirect
180. C4×SD16×C19C22semidirect
181. C19×#436C22semidirect
182. C19×#436C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C19×#435C22semidirect
186. C19×#435C22semidirect
187. C8×D4×C19C22semidirect
188. C8×D4×C19C22semidirect
189. C19×#432C22semidirect
190. C19×#431C22semidirect
191. C19×#419C22semidirect
194. C19×#417C22semidirect
196. C19×#416C22semidirect
197. C2×C19×#103C22semidirect
201. C19×#408C22semidirect
202. C19×#408C22semidirect
735. #61691C19direct (N × H)
868. #3547C2×C19semidirect
869. #3500C2×C19semidirect
870. #3327C2×C19semidirect
871. #3323C2×C19semidirect
872. #3321C2×C19semidirect
873. #3319C2×C19semidirect
874. #3316C2×C19semidirect
875. #3314C2×C19semidirect
876. #3300C2×C19semidirect
877. #3296C2×C19semidirect
878. #3285C2×C19semidirect
879. #3282C2×C19semidirect
880. #3277C2×C19semidirect
881. #3275C2×C19semidirect
882. #3270C2×C19semidirect
883. #3269C2×C19semidirect
884. #3267C2×C19semidirect
885. #3266C2×C19semidirect
886. #3215C2×C19semidirect
887. #3211C2×C19semidirect
888. #3202C2×C19semidirect
889. #3201C2×C19semidirect
890. #3200C2×C19semidirect
891. #3198C2×C19semidirect
892. #3111C2×C19semidirect
893. #3107C2×C19semidirect
894. #3013C2×C19semidirect
895. #3012C2×C19semidirect
896. #3011C2×C19semidirect
897. #3009C2×C19semidirect
898. #2981C2×C19semidirect
956. C2×#137C22×C19semidirect
957. C2×#137C22×C19semidirect
960. C2×#135C22×C19semidirect
961. C22×Q16C22×C19semidirect
966. #555C22×C19semidirect
967. #554C22×C19semidirect
969. #552C22×C19semidirect
970. #552C22×C19semidirect
971. D4×Q8C22×C19semidirect
976. #548C22×C19semidirect
977. #548C22×C19semidirect
978. #547C22×C19semidirect
992. #537C22×C19semidirect
996. #536C22×C19semidirect
999. #533C22×C19semidirect
1002. #529C22×C19semidirect
1006. #497C22×C19semidirect
1007. #497C22×C19semidirect
1008. #495C22×C19semidirect
1009. #495C22×C19semidirect
1010. #489C22×C19semidirect
1011. #489C22×C19semidirect
1012. #488C22×C19semidirect
1013. #488C22×C19semidirect
1014. #485C22×C19semidirect
1015. #485C22×C19semidirect
1016. #485C22×C19semidirect
1017. #485C22×C19semidirect
1018. #485C22×C19semidirect
1019. #484C22×C19semidirect
1020. #483C22×C19semidirect
1021. #482C22×C19semidirect
1022. #482C22×C19semidirect
1023. #482C22×C19semidirect
1024. #481C22×C19semidirect
1025. #480C22×C19semidirect
1026. #479C22×C19semidirect
1027. #478C22×C19semidirect
1028. #475C22×C19semidirect
1029. #474C22×C19semidirect
1030. #470C22×C19semidirect
1031. #470C22×C19semidirect
1032. #470C22×C19semidirect
1033. #469C22×C19semidirect
1034. #468C22×C19semidirect
1035. #468C22×C19semidirect
1036. #468C22×C19semidirect
1037. #468C22×C19semidirect
1038. #467C22×C19semidirect
1039. #467C22×C19semidirect
1040. #467C22×C19semidirect
1041. #466C22×C19semidirect
1042. #465C22×C19semidirect
1043. #465C22×C19semidirect
1044. #465C22×C19semidirect
1045. #465C22×C19semidirect
1046. #464C22×C19semidirect
1047. #464C22×C19semidirect
1048. #464C22×C19semidirect
1049. #464C22×C19semidirect
1050. #464C22×C19semidirect
1051. #464C22×C19semidirect
1052. #464C22×C19semidirect
1053. #463C22×C19semidirect
1054. #463C22×C19semidirect
1055. #463C22×C19semidirect
1056. #462C22×C19semidirect
1057. #461C22×C19semidirect
1064. #452C22×C19semidirect
1065. #452C22×C19semidirect
1066. #452C22×C19semidirect
1067. #452C22×C19semidirect
1068. #452C22×C19semidirect
1069. #451C22×C19semidirect
1070. #451C22×C19semidirect
1071. #451C22×C19semidirect
1072. #451C22×C19semidirect
1073. #451C22×C19semidirect
1074. #451C22×C19semidirect
1075. #451C22×C19semidirect
1076. #451C22×C19semidirect
1085. #449C22×C19semidirect
1086. #449C22×C19semidirect
1087. #449C22×C19semidirect
1088. #448C22×C19semidirect
1089. #448C22×C19semidirect
1090. #448C22×C19semidirect
1091. #448C22×C19semidirect
1094. #442C22×C19semidirect
1095. #441C22×C19semidirect
1096. #440C22×C19semidirect
1097. #440C22×C19semidirect
1098. C4×Q16C22×C19semidirect
1099. C4×Q16C22×C19semidirect
1100. C4×SD16C22×C19semidirect
1101. C4×SD16C22×C19semidirect
1102. #436C22×C19semidirect
1103. #436C22×C19semidirect
1104. #435C22×C19semidirect
1105. #435C22×C19semidirect
1106. #435C22×C19semidirect
1107. #435C22×C19semidirect
1108. C8×D4C22×C19semidirect
1109. C8×D4C22×C19semidirect
1110. #432C22×C19semidirect
1111. #431C22×C19semidirect
1112. #419C22×C19semidirect
1115. #417C22×C19semidirect
1117. #416C22×C19semidirect
1118. C2×#103C22×C19semidirect
1122. #408C22×C19semidirect
1123. #408C22×C19semidirect
1423. C19#61691direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35472
C19×#35002
C19×#33272
C19×#33232
C19×#33212
C19×#33192
C19×#33162
C19×#33142
C19×#33002
C19×#32962
C19×#32852
C19×#32822
C19×#32772
C19×#32752
C19×#32702
C19×#32692
C19×#32672
C19×#32662
C19×#32152
C19×#32112
C19×#32022
C19×#32012
C19×#32002
C19×#31982
C19×#31112
C19×#31072
C19×#30132
C19×#30122
C19×#30112
C19×#30092
C19×#29812
#6169119