Finite Group Databasebeta

← C19×#61625 #18067584

Subgroups — C19×#61625 #18067584

Order 4864.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3540C211yesmaximal, characteristic, complemented
2C19×#3488C211yesmaximal, characteristic, complemented
3C19×#3325C211yesmaximal, characteristic, complemented
4C19×#3324C211yesmaximal, characteristic, complemented
5C19×#3321C211yesmaximal, characteristic, complemented
6C19×#3319C211yesmaximal, characteristic, complemented
7C19×#3313C211yesmaximal, characteristic, complemented
8C19×#3311C211yesmaximal, characteristic, complemented
9C19×#3305C211yesmaximal, characteristic, complemented
10C19×#3304C211yesmaximal, characteristic, complemented
11C19×#3282C211yesmaximal, characteristic, complemented
12C19×#3280C211yesmaximal, characteristic, complemented
13C19×#3277C211yesmaximal, characteristic, complemented
14C19×#3275C211yesmaximal, characteristic, complemented
15C19×#3271C211yesmaximal, characteristic, complemented
16C19×#3268C211yesmaximal, characteristic, complemented
17C19×#3265C211yesmaximal, characteristic, complemented
18C19×#3264C211yesmaximal, characteristic, complemented
19C19×#3224C211yesmaximal, characteristic, complemented
20C19×#3224C211yesmaximal, characteristic, complemented
21C19×#3201C211yesmaximal, characteristic, complemented
22C19×#3198C211yesmaximal, characteristic, complemented
23C19×#3194C211yesmaximal, characteristic, complemented
24C19×#3188C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic, complemented
26C19×#3124C211yesmaximal, characteristic, complemented
27C19×#3009C211yesmaximal, characteristic, complemented
28C19×#3008C211yesmaximal, characteristic, complemented
29C19×#3005C211yesmaximal, characteristic, complemented
30C19×#3002C211yesmaximal, characteristic, complemented
31C19×#2976C211yesmaximal, characteristic, complemented
32C2×C19×H(5,𝔽2)C2211yescharacteristic
33C22×#41×C19C2211yescharacteristic, complemented
34C2×C19×#137C2211yescharacteristic, complemented
35C2×C19×#137C2211yescharacteristic, complemented
36C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C19×#135C2211yescharacteristic, complemented
39C2×C19×#135C2211yescharacteristic, complemented
40C22×SD16×C19C2211yescharacteristic, complemented
41C22×D8×C19C2211yescharacteristic, complemented
42C19×H(3,𝔽4)—21no—
43C19×#560—21no—
44C19×#559—21no—
45C19×#556C2211yescharacteristic, complemented
46C19×#556C2211yescharacteristic, complemented
47C19×#555C2211yescharacteristic, complemented
48C19×#555C2211yescharacteristic, complemented
49C19×#551—21no—
50C19×#550C2211yescharacteristic
51C19×#550C2211yescharacteristic, complemented
52C19×#548C2211yescharacteristic
53C19×#548C2211yescharacteristic, complemented
54C19×#548C2211yescharacteristic, complemented
55C19×#548C2211yescharacteristic, complemented
56C19×#546—21no—
57C19×#546—21no—
58C19×#546C2211yescharacteristic
59C19×#546C2211yescharacteristic, complemented
60C19×#546C2211yescharacteristic, complemented
61C19×#546C2211yescharacteristic, complemented
62D42×C19—21no—
63D42×C19—21no—
64D42×C19C2211yescharacteristic
65D42×C19C2211yescharacteristic, complemented
66C19×#542—21no—
67C19×#542—21no—
68C19×#542C2211yescharacteristic, complemented
69C19×#542C2211yescharacteristic, complemented
70C19×#538—21no—
71C19×#538—21no—
72C19×#537—21no—
73C19×#537C2211yescharacteristic
74C19×#536C2211yescharacteristic, complemented
75C19×#535—21no—
76C19×#535C2211yescharacteristic, complemented
77C19×#535C2211yescharacteristic, complemented
78C19×#525—21no—
79C19×#525C2211yescharacteristic
80C19×#525C2211yescharacteristic, complemented
81C19×#525C2211yescharacteristic, complemented
82C2×C19×#121—21no—
83C2×C19×#121C2211yescharacteristic, complemented
84C19×#520C2211yescharacteristic, complemented
85C19×#496C2211yescharacteristic, complemented
86C19×#496C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#495C2211yescharacteristic, complemented
89C19×#489C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#486C2211yescharacteristic, complemented
92C19×#486C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic, complemented
96C19×#483C2211yescharacteristic, complemented
97C19×#482C2211yescharacteristic, complemented
98C19×#482C2211yescharacteristic, complemented
99C19×#482C2211yescharacteristic, complemented
100C19×#482C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#482C2211yescharacteristic, complemented
103C19×#481C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, complemented
105C19×#477C2211yescharacteristic, complemented
106C19×#476C2211yescharacteristic, complemented
107C19×#475C2211yescharacteristic, complemented
108C19×#474C2211yescharacteristic, complemented
109C19×#470C2211yescharacteristic, complemented
110C19×#469C2211yescharacteristic, complemented
111C19×#469C2211yescharacteristic, complemented
112C19×#469C2211yescharacteristic, complemented
113C19×#468C2211yescharacteristic, complemented
114C19×#468C2211yescharacteristic, complemented
115C19×#468C2211yescharacteristic, complemented
116C19×#468C2211yescharacteristic, complemented
117C19×#467C2211yescharacteristic, complemented
118C19×#466C2211yescharacteristic, complemented
119C19×#466C2211yescharacteristic, 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×#463C2211yescharacteristic, complemented
130C19×#463C2211yescharacteristic, complemented
131C19×#463C2211yescharacteristic, complemented
132C19×#463C2211yescharacteristic, complemented
133C19×#460C2211yescharacteristic, complemented
134C19×#460C2211yescharacteristic, complemented
135C19×#459C2211yescharacteristic, complemented
136C19×#459C2211yescharacteristic, complemented
137C19×#452C2211yescharacteristic, complemented
138C19×#452C2211yescharacteristic, complemented
139C19×#452C2211yescharacteristic, complemented
140C19×#452C2211yescharacteristic, complemented
141C19×#452C2211yescharacteristic, complemented
142C19×#452C2211yescharacteristic, complemented
143C19×#452C2211yescharacteristic, complemented
144C19×#452C2211yescharacteristic, complemented
145C19×#451C2211yescharacteristic, complemented
146C19×#451C2211yescharacteristic, complemented
147C19×#450C2211yescharacteristic, complemented
148C19×#450C2211yescharacteristic, complemented
149C19×#450C2211yescharacteristic, complemented
150C19×#450C2211yescharacteristic, complemented
151C19×#450C2211yescharacteristic, complemented
152C19×#450C2211yescharacteristic, complemented
153C19×#449C2211yescharacteristic
154C19×#449C2211yescharacteristic
155C19×#449C2211yescharacteristic, complemented
156C19×#449C2211yescharacteristic, complemented
157C19×#449C2211yescharacteristic, complemented
158C19×#449C2211yescharacteristic, complemented
159C19×#449C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic, complemented
161C19×#449C2211yescharacteristic, complemented
162C19×#449C2211yescharacteristic, complemented
163C19×#449C2211yescharacteristic, complemented
164C19×#449C2211yescharacteristic, complemented
165C19×#448C2211yescharacteristic, complemented
166C19×#448C2211yescharacteristic, complemented
167C19×#447C2211yescharacteristic, complemented
168C19×#447C2211yescharacteristic, complemented
169C19×#447C2211yescharacteristic, complemented
170C19×#447C2211yescharacteristic, complemented
171C19×#447C2211yescharacteristic, complemented
172C19×#447C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic, complemented
174C19×#441C2211yescharacteristic, complemented
175C19×#440C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×Q16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C4×SD16×C19C2211yescharacteristic, complemented
180C4×D8×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×#433C2211yescharacteristic, complemented
190C19×#433C2211yescharacteristic, complemented
191C19×#419C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic, complemented
193C19×#418C2211yescharacteristic, complemented
194C19×#418C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic, complemented
196C19×#416C2211yescharacteristic, complemented
197C19×#416C2211yescharacteristic, complemented
198C19×#416C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C19×#407C2211yescharacteristic, complemented
202C2×C19×C22⋊C8C2211yescharacteristic, complemented
203C19×H(5,𝔽2)—42no—
204C19×H(5,𝔽2)—42no—
205C2×#41×C19—21no—
206C2×#41×C19—21no—
207C2×#41×C19—21no—
208C2×#41×C19—42no—
209C2×#41×C19—42no—
210C2×#41×C19C2311yescharacteristic
211C2×#41×C19C2311yescharacteristic
212C2×#41×C19C2311yescharacteristic
213C2×#41×C19C2311yescharacteristic
214C2×#41×C19C2311yescharacteristic
215C2×#41×C19C2311yescharacteristic
216C2×#41×C19C2311yescharacteristic
217C2×#41×C19C2311yescharacteristic
218C2×#41×C19C2311yescharacteristic
219C22×Q8×C19C2311yescharacteristic
220C22×Q8×C19C2311yescharacteristic
221C22×D4×C19—21no—
222C22×D4×C19—21no—
223C22×D4×C19—21no—
224C22×D4×C19—21no—
225C22×D4×C19—21no—
226C22×D4×C19—21no—
227C22×D4×C19—21no—
228C22×D4×C19C2311yescharacteristic
229C22×D4×C19C2311yescharacteristic
230C22×D4×C19C2311yescharacteristic
231C22×D4×C19C2311yescharacteristic
232C22×D4×C19C2311yescharacteristic
233C23×C4×C19—21no—
234C23×C4×C19C2311yescharacteristic
235C19×#137—42no—
236C19×#137—42no—
237C19×AGL(1,ℤ/8)—42no—
238C19×AGL(1,ℤ/8)—42no—
239C19×#135—42no—
240C19×#135—42no—
241C2×Q16×C19C2311yescharacteristic
242C2×Q16×C19C2311yescharacteristic
243C2×Q16×C19C2311yescharacteristic
244C2×Q16×C19C2311yescharacteristic
245C2×SD16×C19—42no—
246C2×SD16×C19C2311yescharacteristic
247C2×SD16×C19C2311yescharacteristic
248C2×SD16×C19C2311yescharacteristic
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×D8×C19—42no—
259C2×D8×C19C2311yescharacteristic
260C2×D8×C19C2311yescharacteristic
261C2×D8×C19C2311yescharacteristic
262C2×D8×C19C2311yescharacteristic
263C2×D8×C19C2311yescharacteristic
264C2×D8×C19C2311yescharacteristic
265C2×D8×C19C2311yescharacteristic
266C2×D8×C19C2311yescharacteristic
267C2×M16×C19C2311yescharacteristic
268C2×M16×C19C2311yescharacteristic
269C2×M16×C19C2311yescharacteristic
270C2×M16×C19C2311yescharacteristic
271C22×C8×C19C2311yescharacteristic
272C22×C8×C19C2311yescharacteristic
273C22×C8×C19C2311yescharacteristic
274C22×C8×C19C2311yescharacteristic
275C19×C4⋊Q8—21no—
276C19×C4⋊Q8C2311yescharacteristic
277C19×C4⋊Q8C2311yescharacteristic
278C19×#127—21no—
279C19×#127—21no—
280C19×#127—21no—
281C19×#127C2311yescharacteristic
282C19×#127C2311yescharacteristic
283C19×#126—21no—
284C19×#126—21no—
285C19×#126—21no—
286C19×#126—21no—
287C19×#126—21no—
288C19×#126—21no—
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×#124C2311yescharacteristic
304C19×#124C2311yescharacteristic
305C19×#124C2311yescharacteristic
306C19×#124C2311yescharacteristic
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123—21no—
313C19×#123—21no—
314C19×#123—21no—
315C19×#123—21no—
316C19×#123—21no—
317C19×#123D411yescharacteristic
318C19×#123D411yescharacteristic
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8—21no—
322C19×C22⋊Q8—21no—
323C19×C22⋊Q8—21no—
324C19×C22⋊Q8—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊Q8D411yescharacteristic
327C19×C22⋊Q8D411yescharacteristic
328C19×C22⋊Q8C2311yescharacteristic
329C19×C22⋊Q8C2311yescharacteristic
330C19×C22⋊Q8C2311yescharacteristic
331C19×C22⋊Q8C2311yescharacteristic
332C19×C22⋊Q8C2311yescharacteristic
333C19×C22⋊Q8C2311yescharacteristic
334C19×C22⋊Q8C2311yescharacteristic
335C19×C22⋊Q8C2311yescharacteristic
336C19×#121—21no—
337C19×#121—21no—
338C19×#121—21no—
339C19×#121—21no—
340C19×#121—21no—
341C19×#121—21no—
342C19×#121—21no—
343C19×#121—21no—
344C19×#121—21no—
345C19×#121—21no—
346C19×#121—21no—
347C19×#121—21no—
348C19×#121—21no—
349C19×#121—21no—
350C19×#121—21no—
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×#121D411yescharacteristic
360C19×#121D411yescharacteristic
361C19×#121C2311yescharacteristic
362C19×#121C2311yescharacteristic
363C19×#121C2311yescharacteristic
364C19×#121C2311yescharacteristic
365C19×#121C2311yescharacteristic
366C19×#121C2311yescharacteristic
367C19×#121C2311yescharacteristic
368C19×#121C2311yescharacteristic
369C19×#121C2311yescharacteristic
370C19×#121C2311yescharacteristic
371C19×#121C2311yescharacteristic
372C19×#121C2311yescharacteristic
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×#120—21no—
383C19×#120—21no—
384C19×#120—21no—
385C19×#120—21no—
386C19×#120—21no—
387C19×#120D411yescharacteristic
388C19×#120D411yescharacteristic
389C4×Q8×C19—21no—
390C4×Q8×C19—21no—
391C4×Q8×C19C2311yescharacteristic
392C4×Q8×C19C2311yescharacteristic
393C4×Q8×C19C2311yescharacteristic
394C4×Q8×C19C2311yescharacteristic
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×C19—21no—
404C4×D4×C19—21no—
405C4×D4×C19—21no—
406C4×D4×C19—21no—
407C4×D4×C19C2311yescharacteristic
408C4×D4×C19C2311yescharacteristic
409C4×D4×C19C2311yescharacteristic
410C4×D4×C19C2311yescharacteristic
411C4×D4×C19C2311yescharacteristic
412C4×D4×C19C2311yescharacteristic
413C4×D4×C19C2311yescharacteristic
414C4×D4×C19C2311yescharacteristic
415C19×#117—21no—
416C19×#117—21no—
417C19×#117—21no—
418C19×#117C2311yescharacteristic
419C19×#117C2311yescharacteristic
420C19×#117C2311yescharacteristic
421C19×#117C2311yescharacteristic
422C19×#117C2311yescharacteristic
423C2×C4⋊C4×C19—21no—
424C2×C4⋊C4×C19C2311yescharacteristic
425C2×C22⋊C4×C19—21no—
426C2×C22⋊C4×C19—21no—
427C2×C22⋊C4×C19—21no—
428C2×C22⋊C4×C19—21no—
429C2×C22⋊C4×C19—21no—
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×#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×#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—
493C24×C19—21no—
494C24×C19—21no—
495C24×C19C2×D411yescharacteristic
496#41×C19—22no—
497#41×C19—22no—
498#41×C19—22no—
499#41×C19—22no—
500#41×C19—22no—
501#41×C19—22no—
502#41×C19—41no—
503#41×C19—41no—
504#41×C19—41no—
505#41×C19—41no—
506#41×C19—41no—
507#41×C19—41no—
508#41×C19—41no—
509#41×C19—41no—
510#41×C19—44no—
511#41×C19—44no—
512#41×C19—41no—
513#41×C19—41no—
514#41×C19—41no—
515#41×C19—41no—
516#41×C19—44no—
517C2×Q8×C19—21no—
518C2×Q8×C19—21no—
519C2×Q8×C19—21no—
520C2×Q8×C19—21no—
521C2×Q8×C19—22no—
522C2×Q8×C19—41no—
523C2×Q8×C19—41no—
524C2×Q8×C19—41no—
525C2×Q8×C19C2×D411yescharacteristic
526C2×Q8×C19C2411yescharacteristic
527C2×Q8×C19C2411yescharacteristic
528C2×Q8×C19C2411yescharacteristic
529C2×Q8×C19C2411yescharacteristic
530C2×D4×C19—21no—
531C2×D4×C19—22no—
532C2×D4×C19—22no—
533C2×D4×C19—22no—
534C2×D4×C19—21no—
535C2×D4×C19—21no—
536C2×D4×C19—21no—
537C2×D4×C19—21no—
538C2×D4×C19—21no—
539C2×D4×C19—21no—
540C2×D4×C19—21no—
541C2×D4×C19—21no—
542C2×D4×C19—21no—
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—21no—
560C2×D4×C19—21no—
561C2×D4×C19—21no—
562C2×D4×C19—41no—
563C2×D4×C19—41no—
564C2×D4×C19—41no—
565C2×D4×C19—41no—
566C2×D4×C19—41no—
567C2×D4×C19—41no—
568C2×D4×C19—41no—
569C2×D4×C19—44no—
570C2×D4×C19—44no—
571C2×D4×C19—44no—
572C2×D4×C19—44no—
573C2×D4×C19—82no—
574C2×D4×C19—82no—
575C2×D4×C19—82no—
576C2×D4×C19C2×D411yescharacteristic
577C2×D4×C19C2×D411yescharacteristic
578C2×D4×C19C2×D411yescharacteristic
579C2×D4×C19C2×D411yescharacteristic
580C2×D4×C19C2×D411yescharacteristic
581C2×D4×C19C2×D411yescharacteristic
582C2×D4×C19C2×D411yescharacteristic
583C2×D4×C19C2411yescharacteristic
584C2×D4×C19C2411yescharacteristic
585C2×D4×C19C2411yescharacteristic
586C2×D4×C19C2411yescharacteristic
587C2×D4×C19C2411yescharacteristic
588C2×D4×C19C2411yescharacteristic
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×C19—21no—
598C22×C4×C19—21no—
599C22×C4×C19—21no—
600C22×C4×C19—21no—
601C22×C4×C19—21no—
602C22×C4×C19—21no—
603C22×C4×C19—21no—
604C22×C4×C19—41no—
605C22×C4×C19—41no—
606C22×C4×C19—44no—
607C22×C4×C19C2×D411yescharacteristic
608C22×C4×C19C2×D411yescharacteristic
609C22×C4×C19C2×D411yescharacteristic
610C22×C4×C19C2411yescharacteristic
611C22×C4×C19C2411yescharacteristic
612C22×C4×C19C2411yescharacteristic
613C22×C4×C19C2411yescharacteristic
614C22×C4×C19C2411yescharacteristic
615Q16×C19—22no—
616Q16×C19—22no—
617Q16×C19—41no—
618Q16×C19—41no—
619SD16×C19—22no—
620SD16×C19—22no—
621SD16×C19—22no—
622SD16×C19—22no—
623SD16×C19—41no—
624SD16×C19—41no—
625SD16×C19—41no—
626SD16×C19—41no—
627SD16×C19—41no—
628SD16×C19—41no—
629SD16×C19—41no—
630SD16×C19—41no—
631D8×C19—22no—
632D8×C19—22no—
633D8×C19—41no—
634D8×C19—41no—
635D8×C19—41no—
636D8×C19—41no—
637D8×C19—41no—
638D8×C19—41no—
639M16×C19—41no—
640M16×C19—41no—
641M16×C19—41no—
642M16×C19—41no—
643C2×C8×C19—41no—
644C2×C8×C19—41no—
645C2×C8×C19—41no—
646C2×C8×C19—41no—
647C2×C8×C19C2411yescharacteristic
648C2×C8×C19C2411yescharacteristic
649C2×C8×C19C2411yescharacteristic
650C2×C8×C19C2411yescharacteristic
651C2×C8×C19C2411yescharacteristic
652C2×C8×C19C2411yescharacteristic
653C2×C8×C19C2411yescharacteristic
654C2×C8×C19C2411yescharacteristic
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×C19—21no—
670C4⋊C4×C19C2×D411yescharacteristic
671C4⋊C4×C19C2×D411yescharacteristic
672C4⋊C4×C19C2×D411yescharacteristic
673C4⋊C4×C19C2×D411yescharacteristic
674C4⋊C4×C19C2×D411yescharacteristic
675C4⋊C4×C19C2×D411yescharacteristic
676C4⋊C4×C19C2411yescharacteristic
677C4⋊C4×C19C2411yescharacteristic
678C4⋊C4×C19C2411yescharacteristic
679C4⋊C4×C19C2411yescharacteristic
680C4⋊C4×C19C2411yescharacteristic
681C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
716C22⋊C4×C19—21no—
717C22⋊C4×C19—21no—
718C22⋊C4×C19C2×D411yescharacteristic
719C22⋊C4×C19C2×D411yescharacteristic
720C22⋊C4×C19C2×D411yescharacteristic
721C22⋊C4×C19C2×D411yescharacteristic
722C22⋊C4×C19C2×D411yescharacteristic
723C22⋊C4×C19C2×D411yescharacteristic
724C22⋊C4×C19C2×D411yescharacteristic
725C22⋊C4×C19C2×D411yescharacteristic
726C22⋊C4×C19C2×D411yescharacteristic
727C22⋊C4×C19C2×D411yescharacteristic
728C42×C19—21no—
729C42×C19—21no—
730C42×C19—21no—
731C42×C19—21no—
732C42×C19—21no—
733C42×C19—21no—
734C42×C19—21no—
735C42×C19—21no—
736C42×C19C2411yescharacteristic
737C42×C19C2411yescharacteristic
738#61625C1911yesmaximal, characteristic, direct product factor, Sylow
739C23×C19—21no—
740C23×C19—21no—
741C23×C19—21no—
742C23×C19—21no—
743C23×C19—21no—
744C23×C19—21no—
745C23×C19—41no—
746C23×C19—41no—
747C23×C19—41no—
748C23×C19—42no—
749C23×C19—42no—
750C23×C19—42no—
751C23×C19—42no—
752C23×C19—42no—
753C23×C19—81no—
754C23×C19—81no—
755C23×C19—81no—
756C23×C19—81no—
757C23×C19—81no—
758C23×C19—81no—
759C23×C19—81no—
760C23×C19—81no—
761C23×C19—81no—
762C23×C19—81no—
763C23×C19C22×D411yescharacteristic
764C23×C19C22×D411yescharacteristic
765C23×C19C22×D411yescharacteristic
766C23×C19C22×D411yescharacteristic
767C23×C19C22×D411yescharacteristic
768Q8×C19—21no—
769Q8×C19—21no—
770Q8×C19—21no—
771Q8×C19—21no—
772Q8×C19—21no—
773Q8×C19—21no—
774Q8×C19—21no—
775Q8×C19—41no—
776Q8×C19—42no—
777Q8×C19—81no—
778Q8×C19—81no—
779Q8×C19—81no—
780Q8×C19H(5,𝔽2)12yes—
781D4×C19—24no—
782D4×C19—21no—
783D4×C19—21no—
784D4×C19—21no—
785D4×C19—21no—
786D4×C19—21no—
787D4×C19—21no—
788D4×C19—21no—
789D4×C19—21no—
790D4×C19—21no—
791D4×C19—21no—
792D4×C19—21no—
793D4×C19—41no—
794D4×C19—41no—
795D4×C19—41no—
796D4×C19—41no—
797D4×C19—41no—
798D4×C19—41no—
799D4×C19—41no—
800D4×C19—42no—
801D4×C19—42no—
802D4×C19—42no—
803D4×C19—42no—
804D4×C19—42no—
805D4×C19—42no—
806D4×C19—42no—
807D4×C19—42no—
808D4×C19—42no—
809D4×C19—42no—
810D4×C19—42no—
811D4×C19—81no—
812D4×C19—81no—
813D4×C19—81no—
814D4×C19—81no—
815D4×C19—81no—
816D4×C19—81no—
817D4×C19—81no—
818D4×C19—81no—
819D4×C19—81no—
820D4×C19—81no—
821D4×C19—81no—
822D4×C19—81no—
823D4×C19—81no—
824D4×C19—81no—
825D4×C19—81no—
826D4×C19—81no—
827D4×C19—81no—
828D4×C19H(5,𝔽2)12yes—
829C2×C4×C19—24no—
830C2×C4×C19—21no—
831C2×C4×C19—21no—
832C2×C4×C19—21no—
833C2×C4×C19—21no—
834C2×C4×C19—21no—
835C2×C4×C19—21no—
836C2×C4×C19—21no—
837C2×C4×C19—21no—
838C2×C4×C19—21no—
839C2×C4×C19—21no—
840C2×C4×C19—21no—
841C2×C4×C19—21no—
842C2×C4×C19—21no—
843C2×C4×C19—21no—
844C2×C4×C19—21no—
845C2×C4×C19—21no—
846C2×C4×C19—21no—
847C2×C4×C19—21no—
848C2×C4×C19—21no—
849C2×C4×C19—21no—
850C2×C4×C19—41no—
851C2×C4×C19—41no—
852C2×C4×C19—41no—
853C2×C4×C19—42no—
854C2×C4×C19—42no—
855C2×C4×C19—42no—
856C2×C4×C19—42no—
857C2×C4×C19—42no—
858C2×C4×C19—42no—
859C2×C4×C19—81no—
860C2×C4×C19—81no—
861C2×C4×C19—81no—
862C2×C4×C19—81no—
863C2×C4×C19—81no—
864C2×C4×C19—81no—
865C2×C4×C19—81no—
866C2×C4×C19—81no—
867C2×C4×C19C22×D411yescharacteristic
868C2×C4×C19C22×D411yescharacteristic
869C2×C4×C19C22×D411yescharacteristic
870C2×C4×C19C22×D411yescharacteristic
871C2×C4×C19C22×D411yescharacteristic
872C2×C4×C19C22×D411yescharacteristic
873C2×C4×C19C22×D411yescharacteristic
874C2×C4×C19C22×D411yescharacteristic
875C2×C4×C19C22×D411yescharacteristic
876C2×C4×C19C2511yescharacteristic
877C8×C19—21no—
878C8×C19—21no—
879C8×C19—21no—
880C8×C19—21no—
881C8×C19—21no—
882C8×C19—21no—
883C8×C19—21no—
884C8×C19—21no—
885#3540C2×C1911yescharacteristic, complemented
886#3488C2×C1911yescharacteristic, complemented
887#3325C2×C1911yescharacteristic, complemented
888#3324C2×C1911yescharacteristic, complemented
889#3321C2×C1911yescharacteristic, complemented
890#3319C2×C1911yescharacteristic, complemented
891#3313C2×C1911yescharacteristic, complemented
892#3311C2×C1911yescharacteristic, complemented
893#3305C2×C1911yescharacteristic, complemented
894#3304C2×C1911yescharacteristic, complemented
895#3282C2×C1911yescharacteristic, complemented
896#3280C2×C1911yescharacteristic, complemented
897#3277C2×C1911yescharacteristic, complemented
898#3275C2×C1911yescharacteristic, complemented
899#3271C2×C1911yescharacteristic, complemented
900#3268C2×C1911yescharacteristic, complemented
901#3265C2×C1911yescharacteristic, complemented
902#3264C2×C1911yescharacteristic, complemented
903#3224C2×C1911yescharacteristic, complemented
904#3224C2×C1911yescharacteristic, complemented
905#3201C2×C1911yescharacteristic, complemented
906#3198C2×C1911yescharacteristic, complemented
907#3194C2×C1911yescharacteristic, complemented
908#3188C2×C1911yescharacteristic, complemented
909#3125C2×C1911yescharacteristic, complemented
910#3124C2×C1911yescharacteristic, complemented
911#3009C2×C1911yescharacteristic, complemented
912#3008C2×C1911yescharacteristic, complemented
913#3005C2×C1911yescharacteristic, complemented
914#3002C2×C1911yescharacteristic, complemented
915#2976C2×C1911yescharacteristic, complemented
916C22×C19—21no—
917C22×C19—21no—
918C22×C19—21no—
919C22×C19—21no—
920C22×C19—21no—
921C22×C19—21no—
922C22×C19—21no—
923C22×C19—21no—
924C22×C19—21no—
925C22×C19—21no—
926C22×C19—21no—
927C22×C19—21no—
928C22×C19—22no—
929C22×C19—21no—
930C22×C19—21no—
931C22×C19—21no—
932C22×C19—41no—
933C22×C19—41no—
934C22×C19—41no—
935C22×C19—41no—
936C22×C19—41no—
937C22×C19—41no—
938C22×C19—41no—
939C22×C19—41no—
940C22×C19—41no—
941C22×C19—41no—
942C22×C19—41no—
943C22×C19—41no—
944C22×C19—41no—
945C22×C19—41no—
946C22×C19—41no—
947C22×C19—41no—
948C22×C19—41no—
949C22×C19—82no—
950C22×C19—84no—
951C22×C19—162no—
952C22×C19—162no—
953C22×C19—162no—
954C22×C19—162no—
955C22×C19C23×D411yescharacteristic
956C4×C19—21no—
957C4×C19—21no—
958C4×C19—21no—
959C4×C19—21no—
960C4×C19—21no—
961C4×C19—22no—
962C4×C19—21no—
963C4×C19—21no—
964C4×C19—21no—
965C4×C19—21no—
966C4×C19—41no—
967C4×C19—41no—
968C4×C19—41no—
969C4×C19—41no—
970C4×C19—41no—
971C4×C19—41no—
972C4×C19—41no—
973C4×C19—41no—
974C4×C19—41no—
975C4×C19C2×H(5,𝔽2)11yescharacteristic
976C4×C19C2×H(5,𝔽2)11yescharacteristic
977C2×H(5,𝔽2)C22×C1911yescharacteristic
978C22×#41C22×C1911yescharacteristic, complemented
979C2×#137C22×C1911yescharacteristic, complemented
980C2×#137C22×C1911yescharacteristic, complemented
981C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
982C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
983C2×#135C22×C1911yescharacteristic, complemented
984C2×#135C22×C1911yescharacteristic, complemented
985C22×SD16C22×C1911yescharacteristic, complemented
986C22×D8C22×C1911yescharacteristic, complemented
987H(3,𝔽4)—21no—
988#560—21no—
989#559—21no—
990#556C22×C1911yescharacteristic, complemented
991#556C22×C1911yescharacteristic, complemented
992#555C22×C1911yescharacteristic, complemented
993#555C22×C1911yescharacteristic, complemented
994#551—21no—
995#550C22×C1911yescharacteristic
996#550C22×C1911yescharacteristic, complemented
997#548C22×C1911yescharacteristic
998#548C22×C1911yescharacteristic, complemented
999#548C22×C1911yescharacteristic, complemented
1000#548C22×C1911yescharacteristic, complemented
1001#546—21no—
1002#546—21no—
1003#546C22×C1911yescharacteristic
1004#546C22×C1911yescharacteristic, complemented
1005#546C22×C1911yescharacteristic, complemented
1006#546C22×C1911yescharacteristic, complemented
1007D42—21no—
1008D42—21no—
1009D42C22×C1911yescharacteristic
1010D42C22×C1911yescharacteristic, complemented
1011#542—21no—
1012#542—21no—
1013#542C22×C1911yescharacteristic, complemented
1014#542C22×C1911yescharacteristic, complemented
1015#538—21no—
1016#538—21no—
1017#537—21no—
1018#537C22×C1911yescharacteristic
1019#536C22×C1911yescharacteristic, complemented
1020#535—21no—
1021#535C22×C1911yescharacteristic, complemented
1022#535C22×C1911yescharacteristic, complemented
1023#525—21no—
1024#525C22×C1911yescharacteristic
1025#525C22×C1911yescharacteristic, complemented
1026#525C22×C1911yescharacteristic, complemented
1027C2×#121—21no—
1028C2×#121C22×C1911yescharacteristic, complemented
1029#520C22×C1911yescharacteristic, complemented
1030#496C22×C1911yescharacteristic, complemented
1031#496C22×C1911yescharacteristic, complemented
1032#495C22×C1911yescharacteristic, complemented
1033#495C22×C1911yescharacteristic, complemented
1034#489C22×C1911yescharacteristic, complemented
1035#489C22×C1911yescharacteristic, complemented
1036#486C22×C1911yescharacteristic, complemented
1037#486C22×C1911yescharacteristic, complemented
1038#485C22×C1911yescharacteristic, complemented
1039#485C22×C1911yescharacteristic, complemented
1040#484C22×C1911yescharacteristic, complemented
1041#483C22×C1911yescharacteristic, complemented
1042#482C22×C1911yescharacteristic, complemented
1043#482C22×C1911yescharacteristic, complemented
1044#482C22×C1911yescharacteristic, complemented
1045#482C22×C1911yescharacteristic, complemented
1046#482C22×C1911yescharacteristic, complemented
1047#482C22×C1911yescharacteristic, complemented
1048#481C22×C1911yescharacteristic, complemented
1049#480C22×C1911yescharacteristic, complemented
1050#477C22×C1911yescharacteristic, complemented
1051#476C22×C1911yescharacteristic, complemented
1052#475C22×C1911yescharacteristic, complemented
1053#474C22×C1911yescharacteristic, complemented
1054#470C22×C1911yescharacteristic, complemented
1055#469C22×C1911yescharacteristic, complemented
1056#469C22×C1911yescharacteristic, complemented
1057#469C22×C1911yescharacteristic, complemented
1058#468C22×C1911yescharacteristic, complemented
1059#468C22×C1911yescharacteristic, complemented
1060#468C22×C1911yescharacteristic, complemented
1061#468C22×C1911yescharacteristic, complemented
1062#467C22×C1911yescharacteristic, complemented
1063#466C22×C1911yescharacteristic, complemented
1064#466C22×C1911yescharacteristic, complemented
1065#466C22×C1911yescharacteristic, complemented
1066#465C22×C1911yescharacteristic, complemented
1067#465C22×C1911yescharacteristic, complemented
1068#465C22×C1911yescharacteristic, complemented
1069#465C22×C1911yescharacteristic, complemented
1070#464C22×C1911yescharacteristic, complemented
1071#464C22×C1911yescharacteristic, complemented
1072#464C22×C1911yescharacteristic, complemented
1073#464C22×C1911yescharacteristic, complemented
1074#463C22×C1911yescharacteristic, complemented
1075#463C22×C1911yescharacteristic, complemented
1076#463C22×C1911yescharacteristic, complemented
1077#463C22×C1911yescharacteristic, complemented
1078#460C22×C1911yescharacteristic, complemented
1079#460C22×C1911yescharacteristic, complemented
1080#459C22×C1911yescharacteristic, complemented
1081#459C22×C1911yescharacteristic, complemented
1082#452C22×C1911yescharacteristic, complemented
1083#452C22×C1911yescharacteristic, complemented
1084#452C22×C1911yescharacteristic, complemented
1085#452C22×C1911yescharacteristic, complemented
1086#452C22×C1911yescharacteristic, complemented
1087#452C22×C1911yescharacteristic, complemented
1088#452C22×C1911yescharacteristic, complemented
1089#452C22×C1911yescharacteristic, complemented
1090#451C22×C1911yescharacteristic, complemented
1091#451C22×C1911yescharacteristic, complemented
1092#450C22×C1911yescharacteristic, complemented
1093#450C22×C1911yescharacteristic, complemented
1094#450C22×C1911yescharacteristic, complemented
1095#450C22×C1911yescharacteristic, complemented
1096#450C22×C1911yescharacteristic, complemented
1097#450C22×C1911yescharacteristic, complemented
1098#449C22×C1911yescharacteristic
1099#449C22×C1911yescharacteristic
1100#449C22×C1911yescharacteristic, complemented
1101#449C22×C1911yescharacteristic, complemented
1102#449C22×C1911yescharacteristic, complemented
1103#449C22×C1911yescharacteristic, complemented
1104#449C22×C1911yescharacteristic, complemented
1105#449C22×C1911yescharacteristic, complemented
1106#449C22×C1911yescharacteristic, complemented
1107#449C22×C1911yescharacteristic, complemented
1108#449C22×C1911yescharacteristic, complemented
1109#449C22×C1911yescharacteristic, complemented
1110#448C22×C1911yescharacteristic, complemented
1111#448C22×C1911yescharacteristic, complemented
1112#447C22×C1911yescharacteristic, complemented
1113#447C22×C1911yescharacteristic, complemented
1114#447C22×C1911yescharacteristic, complemented
1115#447C22×C1911yescharacteristic, complemented
1116#447C22×C1911yescharacteristic, complemented
1117#447C22×C1911yescharacteristic, complemented
1118#442C22×C1911yescharacteristic, complemented
1119#441C22×C1911yescharacteristic, complemented
1120#440C22×C1911yescharacteristic, complemented
1121#440C22×C1911yescharacteristic, complemented
1122C4×Q16C22×C1911yescharacteristic, complemented
1123C4×SD16C22×C1911yescharacteristic, complemented
1124C4×SD16C22×C1911yescharacteristic, complemented
1125C4×D8C22×C1911yescharacteristic, complemented
1126#436C22×C1911yescharacteristic, complemented
1127#436C22×C1911yescharacteristic, complemented
1128#435C22×C1911yescharacteristic, complemented
1129#435C22×C1911yescharacteristic, complemented
1130#435C22×C1911yescharacteristic, complemented
1131#435C22×C1911yescharacteristic, complemented
1132C8×D4C22×C1911yescharacteristic, complemented
1133C8×D4C22×C1911yescharacteristic, complemented
1134#433C22×C1911yescharacteristic, complemented
1135#433C22×C1911yescharacteristic, complemented
1136#419C22×C1911yescharacteristic, complemented
1137#418C22×C1911yescharacteristic, complemented
1138#418C22×C1911yescharacteristic, complemented
1139#418C22×C1911yescharacteristic, complemented
1140#416C22×C1911yescharacteristic, complemented
1141#416C22×C1911yescharacteristic, complemented
1142#416C22×C1911yescharacteristic, complemented
1143#416C22×C1911yescharacteristic, complemented
1144#408C22×C1911yescharacteristic, complemented
1145#408C22×C1911yescharacteristic, complemented
1146#407C22×C1911yescharacteristic, complemented
1147C2×C22⋊C8C22×C1911yescharacteristic, complemented
1148C2×C19—41no—
1149C2×C19—41no—
1150C2×C19—41no—
1151C2×C19—41no—
1152C2×C19—41no—
1153C2×C19—42no—
1154C2×C19—81no—
1155C2×C19—81no—
1156C2×C19—81no—
1157C2×C19—81no—
1158C2×C19—81no—
1159C2×C19#348411yescharacteristic
1160C2×C19#358411yescharacteristic
1161C2×C19#358511yescharacteristic
1162H(5,𝔽2)—42no—
1163H(5,𝔽2)—42no—
1164C2×#41—21no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—42no—
1168C2×#41—42no—
1169C2×#41C23×C1911yescharacteristic
1170C2×#41C23×C1911yescharacteristic
1171C2×#41C23×C1911yescharacteristic
1172C2×#41C23×C1911yescharacteristic
1173C2×#41C23×C1911yescharacteristic
1174C2×#41C23×C1911yescharacteristic
1175C2×#41C23×C1911yescharacteristic
1176C2×#41C23×C1911yescharacteristic
1177C2×#41C23×C1911yescharacteristic
1178C22×Q8C23×C1911yescharacteristic
1179C22×Q8C23×C1911yescharacteristic
1180C22×D4—21no—
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4C23×C1911yescharacteristic
1188C22×D4C23×C1911yescharacteristic
1189C22×D4C23×C1911yescharacteristic
1190C22×D4C23×C1911yescharacteristic
1191C22×D4C23×C1911yescharacteristic
1192C23×C4—21no—
1193C23×C4C23×C1911yescharacteristic
1194#137—42no—
1195#137—42no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—42no—
1198#135—42no—
1199#135—42no—
1200C2×Q16C23×C1911yescharacteristic
1201C2×Q16C23×C1911yescharacteristic
1202C2×Q16C23×C1911yescharacteristic
1203C2×Q16C23×C1911yescharacteristic
1204C2×SD16—42no—
1205C2×SD16C23×C1911yescharacteristic
1206C2×SD16C23×C1911yescharacteristic
1207C2×SD16C23×C1911yescharacteristic
1208C2×SD16C23×C1911yescharacteristic
1209C2×SD16C23×C1911yescharacteristic
1210C2×SD16C23×C1911yescharacteristic
1211C2×SD16C23×C1911yescharacteristic
1212C2×SD16C23×C1911yescharacteristic
1213C2×SD16C23×C1911yescharacteristic
1214C2×SD16C23×C1911yescharacteristic
1215C2×SD16C23×C1911yescharacteristic
1216C2×SD16C23×C1911yescharacteristic
1217C2×D8—42no—
1218C2×D8C23×C1911yescharacteristic
1219C2×D8C23×C1911yescharacteristic
1220C2×D8C23×C1911yescharacteristic
1221C2×D8C23×C1911yescharacteristic
1222C2×D8C23×C1911yescharacteristic
1223C2×D8C23×C1911yescharacteristic
1224C2×D8C23×C1911yescharacteristic
1225C2×D8C23×C1911yescharacteristic
1226C2×M16C23×C1911yescharacteristic
1227C2×M16C23×C1911yescharacteristic
1228C2×M16C23×C1911yescharacteristic
1229C2×M16C23×C1911yescharacteristic
1230C22×C8C23×C1911yescharacteristic
1231C22×C8C23×C1911yescharacteristic
1232C22×C8C23×C1911yescharacteristic
1233C22×C8C23×C1911yescharacteristic
1234C4⋊Q8—21no—
1235C4⋊Q8C23×C1911yescharacteristic
1236C4⋊Q8C23×C1911yescharacteristic
1237#127—21no—
1238#127—21no—
1239#127—21no—
1240#127C23×C1911yescharacteristic
1241#127C23×C1911yescharacteristic
1242#126—21no—
1243#126—21no—
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#126—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124—21no—
1258#124—21no—
1259#124—21no—
1260#124—21no—
1261#124—21no—
1262#124C23×C1911yescharacteristic
1263#124C23×C1911yescharacteristic
1264#124C23×C1911yescharacteristic
1265#124C23×C1911yescharacteristic
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—21no—
1275#123—21no—
1276#123D4×C1911yescharacteristic
1277#123D4×C1911yescharacteristic
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—21no—
1285C22⋊Q8D4×C1911yescharacteristic
1286C22⋊Q8D4×C1911yescharacteristic
1287C22⋊Q8C23×C1911yescharacteristic
1288C22⋊Q8C23×C1911yescharacteristic
1289C22⋊Q8C23×C1911yescharacteristic
1290C22⋊Q8C23×C1911yescharacteristic
1291C22⋊Q8C23×C1911yescharacteristic
1292C22⋊Q8C23×C1911yescharacteristic
1293C22⋊Q8C23×C1911yescharacteristic
1294C22⋊Q8C23×C1911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121D4×C1911yescharacteristic
1319#121D4×C1911yescharacteristic
1320#121C23×C1911yescharacteristic
1321#121C23×C1911yescharacteristic
1322#121C23×C1911yescharacteristic
1323#121C23×C1911yescharacteristic
1324#121C23×C1911yescharacteristic
1325#121C23×C1911yescharacteristic
1326#121C23×C1911yescharacteristic
1327#121C23×C1911yescharacteristic
1328#121C23×C1911yescharacteristic
1329#121C23×C1911yescharacteristic
1330#121C23×C1911yescharacteristic
1331#121C23×C1911yescharacteristic
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120D4×C1911yescharacteristic
1347#120D4×C1911yescharacteristic
1348C4×Q8—21no—
1349C4×Q8—21no—
1350C4×Q8C23×C1911yescharacteristic
1351C4×Q8C23×C1911yescharacteristic
1352C4×Q8C23×C1911yescharacteristic
1353C4×Q8C23×C1911yescharacteristic
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4C23×C1911yescharacteristic
1367C4×D4C23×C1911yescharacteristic
1368C4×D4C23×C1911yescharacteristic
1369C4×D4C23×C1911yescharacteristic
1370C4×D4C23×C1911yescharacteristic
1371C4×D4C23×C1911yescharacteristic
1372C4×D4C23×C1911yescharacteristic
1373C4×D4C23×C1911yescharacteristic
1374#117—21no—
1375#117—21no—
1376#117—21no—
1377#117C23×C1911yescharacteristic
1378#117C23×C1911yescharacteristic
1379#117C23×C1911yescharacteristic
1380#117C23×C1911yescharacteristic
1381#117C23×C1911yescharacteristic
1382C2×C4⋊C4—21no—
1383C2×C4⋊C4C23×C1911yescharacteristic
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389#107C23×C1911yescharacteristic
1390#107C23×C1911yescharacteristic
1391#107C23×C1911yescharacteristic
1392#107C23×C1911yescharacteristic
1393#106C23×C1911yescharacteristic
1394#106C23×C1911yescharacteristic
1395#106C23×C1911yescharacteristic
1396#106C23×C1911yescharacteristic
1397C4⋊C8C23×C1911yescharacteristic
1398C4⋊C8C23×C1911yescharacteristic
1399C4⋊C8C23×C1911yescharacteristic
1400C4⋊C8C23×C1911yescharacteristic
1401#103C23×C1911yescharacteristic
1402#103C23×C1911yescharacteristic
1403#103C23×C1911yescharacteristic
1404#103C23×C1911yescharacteristic
1405#103C23×C1911yescharacteristic
1406#103C23×C1911yescharacteristic
1407#103C23×C1911yescharacteristic
1408#103C23×C1911yescharacteristic
1409#103C23×C1911yescharacteristic
1410#103C23×C1911yescharacteristic
1411#103C23×C1911yescharacteristic
1412#103C23×C1911yescharacteristic
1413#102C23×C1911yescharacteristic
1414#102C23×C1911yescharacteristic
1415#102C23×C1911yescharacteristic
1416#102C23×C1911yescharacteristic
1417#102C23×C1911yescharacteristic
1418#102C23×C1911yescharacteristic
1419#102C23×C1911yescharacteristic
1420#102C23×C1911yescharacteristic
1421#102C23×C1911yescharacteristic
1422#102C23×C1911yescharacteristic
1423#102C23×C1911yescharacteristic
1424#102C23×C1911yescharacteristic
1425#102C23×C1911yescharacteristic
1426#102C23×C1911yescharacteristic
1427#102C23×C1911yescharacteristic
1428#102C23×C1911yescharacteristic
1429#102C23×C1911yescharacteristic
1430#102C23×C1911yescharacteristic
1431#102C23×C1911yescharacteristic
1432#102C23×C1911yescharacteristic
1433C22⋊C8C23×C1911yescharacteristic
1434C22⋊C8C23×C1911yescharacteristic
1435C22⋊C8C23×C1911yescharacteristic
1436C22⋊C8C23×C1911yescharacteristic
1437C22⋊C8C23×C1911yescharacteristic
1438C22⋊C8C23×C1911yescharacteristic
1439C22⋊C8C23×C1911yescharacteristic
1440C22⋊C8C23×C1911yescharacteristic
1441C22⋊C8C23×C1911yescharacteristic
1442C22⋊C8C23×C1911yescharacteristic
1443C22⋊C8C23×C1911yescharacteristic
1444C22⋊C8C23×C1911yescharacteristic
1445#97C23×C1911yescharacteristic
1446#97C23×C1911yescharacteristic
1447C4×C8C23×C1911yescharacteristic
1448C4×C8C23×C1911yescharacteristic
1449C19#6162511yescharacteristic, direct product factor, Sylow
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—21no—
1454C24—21no—
1455C24C2×D4×C1911yescharacteristic
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—22no—
1461#41—22no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—41no—
1470#41—44no—
1471#41—44no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—44no—
1477C2×Q8—21no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—21no—
1481C2×Q8—22no—
1482C2×Q8—41no—
1483C2×Q8—41no—
1484C2×Q8—41no—
1485C2×Q8C2×D4×C1911yescharacteristic
1486C2×Q8C24×C1911yescharacteristic
1487C2×Q8C24×C1911yescharacteristic
1488C2×Q8C24×C1911yescharacteristic
1489C2×Q8C24×C1911yescharacteristic
1490C2×D4—21no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—22no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—44no—
1530C2×D4—44no—
1531C2×D4—44no—
1532C2×D4—44no—
1533C2×D4—82no—
1534C2×D4—82no—
1535C2×D4—82no—
1536C2×D4C2×D4×C1911yescharacteristic
1537C2×D4C2×D4×C1911yescharacteristic
1538C2×D4C2×D4×C1911yescharacteristic
1539C2×D4C2×D4×C1911yescharacteristic
1540C2×D4C2×D4×C1911yescharacteristic
1541C2×D4C2×D4×C1911yescharacteristic
1542C2×D4C2×D4×C1911yescharacteristic
1543C2×D4C24×C1911yescharacteristic
1544C2×D4C24×C1911yescharacteristic
1545C2×D4C24×C1911yescharacteristic
1546C2×D4C24×C1911yescharacteristic
1547C2×D4C24×C1911yescharacteristic
1548C2×D4C24×C1911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—44no—
1567C22×C4C2×D4×C1911yescharacteristic
1568C22×C4C2×D4×C1911yescharacteristic
1569C22×C4C2×D4×C1911yescharacteristic
1570C22×C4C24×C1911yescharacteristic
1571C22×C4C24×C1911yescharacteristic
1572C22×C4C24×C1911yescharacteristic
1573C22×C4C24×C1911yescharacteristic
1574C22×C4C24×C1911yescharacteristic
1575Q16—22no—
1576Q16—22no—
1577Q16—41no—
1578Q16—41no—
1579SD16—22no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—41no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—41no—
1599M16—41no—
1600M16—41no—
1601M16—41no—
1602M16—41no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8C24×C1911yescharacteristic
1608C2×C8C24×C1911yescharacteristic
1609C2×C8C24×C1911yescharacteristic
1610C2×C8C24×C1911yescharacteristic
1611C2×C8C24×C1911yescharacteristic
1612C2×C8C24×C1911yescharacteristic
1613C2×C8C24×C1911yescharacteristic
1614C2×C8C24×C1911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4C2×D4×C1911yescharacteristic
1631C4⋊C4C2×D4×C1911yescharacteristic
1632C4⋊C4C2×D4×C1911yescharacteristic
1633C4⋊C4C2×D4×C1911yescharacteristic
1634C4⋊C4C2×D4×C1911yescharacteristic
1635C4⋊C4C2×D4×C1911yescharacteristic
1636C4⋊C4C24×C1911yescharacteristic
1637C4⋊C4C24×C1911yescharacteristic
1638C4⋊C4C24×C1911yescharacteristic
1639C4⋊C4C24×C1911yescharacteristic
1640C4⋊C4C24×C1911yescharacteristic
1641C4⋊C4C24×C1911yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4C2×D4×C1911yescharacteristic
1679C22⋊C4C2×D4×C1911yescharacteristic
1680C22⋊C4C2×D4×C1911yescharacteristic
1681C22⋊C4C2×D4×C1911yescharacteristic
1682C22⋊C4C2×D4×C1911yescharacteristic
1683C22⋊C4C2×D4×C1911yescharacteristic
1684C22⋊C4C2×D4×C1911yescharacteristic
1685C22⋊C4C2×D4×C1911yescharacteristic
1686C22⋊C4C2×D4×C1911yescharacteristic
1687C22⋊C4C2×D4×C1911yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42—21no—
1695C42—21no—
1696C42C24×C1911yescharacteristic
1697C42C24×C1911yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—42no—
1708C23—42no—
1709C23—42no—
1710C23—42no—
1711C23—42no—
1712C23—81no—
1713C23—81no—
1714C23—81no—
1715C23—81no—
1716C23—81no—
1717C23—81no—
1718C23—81no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23C22×D4×C1911yescharacteristic
1723C23C22×D4×C1911yescharacteristic
1724C23C22×D4×C1911yescharacteristic
1725C23C22×D4×C1911yescharacteristic
1726C23C22×D4×C1911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—21no—
1734Q8—41no—
1735Q8—42no—
1736Q8—81no—
1737Q8—81no—
1738Q8—81no—
1739Q8C19×H(5,𝔽2)12yes—
1740D4—24no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—41no—
1756D4—41no—
1757D4—41no—
1758D4—41no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784D4—81no—
1785D4—81no—
1786D4—81no—
1787D4C19×H(5,𝔽2)12yes—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4C22×D4×C1911yescharacteristic
1827C2×C4C22×D4×C1911yescharacteristic
1828C2×C4C22×D4×C1911yescharacteristic
1829C2×C4C22×D4×C1911yescharacteristic
1830C2×C4C22×D4×C1911yescharacteristic
1831C2×C4C22×D4×C1911yescharacteristic
1832C2×C4C22×D4×C1911yescharacteristic
1833C2×C4C22×D4×C1911yescharacteristic
1834C2×C4C22×D4×C1911yescharacteristic
1835C2×C4C25×C1911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—82no—
1878C22—84no—
1879C22—162no—
1880C22—162no—
1881C22—162no—
1882C22—162no—
1883C22C23×D4×C1911yescharacteristic
1884C4—21no—
1885C4—22no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—21no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4C2×C19×H(5,𝔽2)11yescharacteristic
1904C4C2×C19×H(5,𝔽2)11yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—81no—
1915C2—81no—
1916C2C19×#348411yescharacteristic
1917C2C19×#358411yescharacteristic
1918C2C19×#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×#3540C2semidirect
2. C19×#3488C2semidirect
3. C19×#3325C2semidirect
4. C19×#3324C2semidirect
5. C19×#3321C2semidirect
6. C19×#3319C2semidirect
7. C19×#3313C2semidirect
8. C19×#3311C2semidirect
9. C19×#3305C2semidirect
10. C19×#3304C2semidirect
11. C19×#3282C2semidirect
12. C19×#3280C2semidirect
13. C19×#3277C2semidirect
14. C19×#3275C2semidirect
15. C19×#3271C2semidirect
16. C19×#3268C2semidirect
17. C19×#3265C2semidirect
18. C19×#3264C2semidirect
19. C19×#3224C2semidirect
20. C19×#3224C2semidirect
21. C19×#3201C2semidirect
22. C19×#3198C2semidirect
23. C19×#3194C2semidirect
24. C19×#3188C2semidirect
25. C19×#3125C2semidirect
26. C19×#3124C2semidirect
27. C19×#3009C2semidirect
28. C19×#3008C2semidirect
29. C19×#3005C2semidirect
30. C19×#3002C2semidirect
31. C19×#2976C2semidirect
33. C22×#41×C19C22semidirect
34. C2×C19×#137C22semidirect
35. C2×C19×#137C22semidirect
36. C2×C19×AGL(1,ℤ/8)C22semidirect
37. C2×C19×AGL(1,ℤ/8)C22semidirect
38. C2×C19×#135C22semidirect
39. C2×C19×#135C22semidirect
40. C22×SD16×C19C22semidirect
41. C22×D8×C19C22semidirect
45. C19×#556C22semidirect
46. C19×#556C22semidirect
47. C19×#555C22semidirect
48. C19×#555C22semidirect
51. C19×#550C22semidirect
53. C19×#548C22semidirect
54. C19×#548C22semidirect
55. C19×#548C22semidirect
59. C19×#546C22semidirect
60. C19×#546C22semidirect
61. C19×#546C22semidirect
65. D42×C19C22semidirect
68. C19×#542C22semidirect
69. C19×#542C22semidirect
74. C19×#536C22semidirect
76. C19×#535C22semidirect
77. C19×#535C22semidirect
80. C19×#525C22semidirect
81. C19×#525C22semidirect
83. C2×C19×#121C22semidirect
84. C19×#520C22semidirect
85. C19×#496C22semidirect
86. C19×#496C22semidirect
87. C19×#495C22semidirect
88. C19×#495C22semidirect
89. C19×#489C22semidirect
90. C19×#489C22semidirect
91. C19×#486C22semidirect
92. C19×#486C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#484C22semidirect
96. C19×#483C22semidirect
97. C19×#482C22semidirect
98. C19×#482C22semidirect
99. C19×#482C22semidirect
100. C19×#482C22semidirect
101. C19×#482C22semidirect
102. C19×#482C22semidirect
103. C19×#481C22semidirect
104. C19×#480C22semidirect
105. C19×#477C22semidirect
106. C19×#476C22semidirect
107. C19×#475C22semidirect
108. C19×#474C22semidirect
109. C19×#470C22semidirect
110. C19×#469C22semidirect
111. C19×#469C22semidirect
112. C19×#469C22semidirect
113. C19×#468C22semidirect
114. C19×#468C22semidirect
115. C19×#468C22semidirect
116. C19×#468C22semidirect
117. C19×#467C22semidirect
118. C19×#466C22semidirect
119. C19×#466C22semidirect
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×#463C22semidirect
130. C19×#463C22semidirect
131. C19×#463C22semidirect
132. C19×#463C22semidirect
133. C19×#460C22semidirect
134. C19×#460C22semidirect
135. C19×#459C22semidirect
136. C19×#459C22semidirect
137. C19×#452C22semidirect
138. C19×#452C22semidirect
139. C19×#452C22semidirect
140. C19×#452C22semidirect
141. C19×#452C22semidirect
142. C19×#452C22semidirect
143. C19×#452C22semidirect
144. C19×#452C22semidirect
145. C19×#451C22semidirect
146. C19×#451C22semidirect
147. C19×#450C22semidirect
148. C19×#450C22semidirect
149. C19×#450C22semidirect
150. C19×#450C22semidirect
151. C19×#450C22semidirect
152. C19×#450C22semidirect
155. C19×#449C22semidirect
156. C19×#449C22semidirect
157. C19×#449C22semidirect
158. C19×#449C22semidirect
159. C19×#449C22semidirect
160. C19×#449C22semidirect
161. C19×#449C22semidirect
162. C19×#449C22semidirect
163. C19×#449C22semidirect
164. C19×#449C22semidirect
165. C19×#448C22semidirect
166. C19×#448C22semidirect
167. C19×#447C22semidirect
168. C19×#447C22semidirect
169. C19×#447C22semidirect
170. C19×#447C22semidirect
171. C19×#447C22semidirect
172. C19×#447C22semidirect
173. C19×#442C22semidirect
174. C19×#441C22semidirect
175. C19×#440C22semidirect
176. C19×#440C22semidirect
177. C4×Q16×C19C22semidirect
178. C4×SD16×C19C22semidirect
179. C4×SD16×C19C22semidirect
180. C4×D8×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×#433C22semidirect
190. C19×#433C22semidirect
191. C19×#419C22semidirect
192. C19×#418C22semidirect
193. C19×#418C22semidirect
194. C19×#418C22semidirect
195. C19×#416C22semidirect
196. C19×#416C22semidirect
197. C19×#416C22semidirect
198. C19×#416C22semidirect
199. C19×#408C22semidirect
200. C19×#408C22semidirect
201. C19×#407C22semidirect
202. C2×C19×C22⋊C8C22semidirect
738. #61625C19direct (N × H)
885. #3540C2×C19semidirect
886. #3488C2×C19semidirect
887. #3325C2×C19semidirect
888. #3324C2×C19semidirect
889. #3321C2×C19semidirect
890. #3319C2×C19semidirect
891. #3313C2×C19semidirect
892. #3311C2×C19semidirect
893. #3305C2×C19semidirect
894. #3304C2×C19semidirect
895. #3282C2×C19semidirect
896. #3280C2×C19semidirect
897. #3277C2×C19semidirect
898. #3275C2×C19semidirect
899. #3271C2×C19semidirect
900. #3268C2×C19semidirect
901. #3265C2×C19semidirect
902. #3264C2×C19semidirect
903. #3224C2×C19semidirect
904. #3224C2×C19semidirect
905. #3201C2×C19semidirect
906. #3198C2×C19semidirect
907. #3194C2×C19semidirect
908. #3188C2×C19semidirect
909. #3125C2×C19semidirect
910. #3124C2×C19semidirect
911. #3009C2×C19semidirect
912. #3008C2×C19semidirect
913. #3005C2×C19semidirect
914. #3002C2×C19semidirect
915. #2976C2×C19semidirect
978. C22×#41C22×C19semidirect
979. C2×#137C22×C19semidirect
980. C2×#137C22×C19semidirect
981. C2×AGL(1,ℤ/8)C22×C19semidirect
982. C2×AGL(1,ℤ/8)C22×C19semidirect
983. C2×#135C22×C19semidirect
984. C2×#135C22×C19semidirect
985. C22×SD16C22×C19semidirect
986. C22×D8C22×C19semidirect
990. #556C22×C19semidirect
991. #556C22×C19semidirect
992. #555C22×C19semidirect
993. #555C22×C19semidirect
996. #550C22×C19semidirect
998. #548C22×C19semidirect
999. #548C22×C19semidirect
1000. #548C22×C19semidirect
1004. #546C22×C19semidirect
1005. #546C22×C19semidirect
1006. #546C22×C19semidirect
1010. D42C22×C19semidirect
1013. #542C22×C19semidirect
1014. #542C22×C19semidirect
1019. #536C22×C19semidirect
1021. #535C22×C19semidirect
1022. #535C22×C19semidirect
1025. #525C22×C19semidirect
1026. #525C22×C19semidirect
1028. C2×#121C22×C19semidirect
1029. #520C22×C19semidirect
1030. #496C22×C19semidirect
1031. #496C22×C19semidirect
1032. #495C22×C19semidirect
1033. #495C22×C19semidirect
1034. #489C22×C19semidirect
1035. #489C22×C19semidirect
1036. #486C22×C19semidirect
1037. #486C22×C19semidirect
1038. #485C22×C19semidirect
1039. #485C22×C19semidirect
1040. #484C22×C19semidirect
1041. #483C22×C19semidirect
1042. #482C22×C19semidirect
1043. #482C22×C19semidirect
1044. #482C22×C19semidirect
1045. #482C22×C19semidirect
1046. #482C22×C19semidirect
1047. #482C22×C19semidirect
1048. #481C22×C19semidirect
1049. #480C22×C19semidirect
1050. #477C22×C19semidirect
1051. #476C22×C19semidirect
1052. #475C22×C19semidirect
1053. #474C22×C19semidirect
1054. #470C22×C19semidirect
1055. #469C22×C19semidirect
1056. #469C22×C19semidirect
1057. #469C22×C19semidirect
1058. #468C22×C19semidirect
1059. #468C22×C19semidirect
1060. #468C22×C19semidirect
1061. #468C22×C19semidirect
1062. #467C22×C19semidirect
1063. #466C22×C19semidirect
1064. #466C22×C19semidirect
1065. #466C22×C19semidirect
1066. #465C22×C19semidirect
1067. #465C22×C19semidirect
1068. #465C22×C19semidirect
1069. #465C22×C19semidirect
1070. #464C22×C19semidirect
1071. #464C22×C19semidirect
1072. #464C22×C19semidirect
1073. #464C22×C19semidirect
1074. #463C22×C19semidirect
1075. #463C22×C19semidirect
1076. #463C22×C19semidirect
1077. #463C22×C19semidirect
1078. #460C22×C19semidirect
1079. #460C22×C19semidirect
1080. #459C22×C19semidirect
1081. #459C22×C19semidirect
1082. #452C22×C19semidirect
1083. #452C22×C19semidirect
1084. #452C22×C19semidirect
1085. #452C22×C19semidirect
1086. #452C22×C19semidirect
1087. #452C22×C19semidirect
1088. #452C22×C19semidirect
1089. #452C22×C19semidirect
1090. #451C22×C19semidirect
1091. #451C22×C19semidirect
1092. #450C22×C19semidirect
1093. #450C22×C19semidirect
1094. #450C22×C19semidirect
1095. #450C22×C19semidirect
1096. #450C22×C19semidirect
1097. #450C22×C19semidirect
1100. #449C22×C19semidirect
1101. #449C22×C19semidirect
1102. #449C22×C19semidirect
1103. #449C22×C19semidirect
1104. #449C22×C19semidirect
1105. #449C22×C19semidirect
1106. #449C22×C19semidirect
1107. #449C22×C19semidirect
1108. #449C22×C19semidirect
1109. #449C22×C19semidirect
1110. #448C22×C19semidirect
1111. #448C22×C19semidirect
1112. #447C22×C19semidirect
1113. #447C22×C19semidirect
1114. #447C22×C19semidirect
1115. #447C22×C19semidirect
1116. #447C22×C19semidirect
1117. #447C22×C19semidirect
1118. #442C22×C19semidirect
1119. #441C22×C19semidirect
1120. #440C22×C19semidirect
1121. #440C22×C19semidirect
1122. C4×Q16C22×C19semidirect
1123. C4×SD16C22×C19semidirect
1124. C4×SD16C22×C19semidirect
1125. C4×D8C22×C19semidirect
1126. #436C22×C19semidirect
1127. #436C22×C19semidirect
1128. #435C22×C19semidirect
1129. #435C22×C19semidirect
1130. #435C22×C19semidirect
1131. #435C22×C19semidirect
1132. C8×D4C22×C19semidirect
1133. C8×D4C22×C19semidirect
1134. #433C22×C19semidirect
1135. #433C22×C19semidirect
1136. #419C22×C19semidirect
1137. #418C22×C19semidirect
1138. #418C22×C19semidirect
1139. #418C22×C19semidirect
1140. #416C22×C19semidirect
1141. #416C22×C19semidirect
1142. #416C22×C19semidirect
1143. #416C22×C19semidirect
1144. #408C22×C19semidirect
1145. #408C22×C19semidirect
1146. #407C22×C19semidirect
1147. C2×C22⋊C8C22×C19semidirect
1449. C19#61625direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35402
C19×#34882
C19×#33252
C19×#33242
C19×#33212
C19×#33192
C19×#33132
C19×#33112
C19×#33052
C19×#33042
C19×#32822
C19×#32802
C19×#32772
C19×#32752
C19×#32712
C19×#32682
C19×#32652
C19×#32642
C19×#32242
C19×#32012
C19×#31982
C19×#31942
C19×#31882
C19×#31252
C19×#31242
C19×#30092
C19×#30082
C19×#30052
C19×#30022
C19×#29762
#6162519