Finite Group Databasebeta

← C19×#61639 #18067598

Subgroups — C19×#61639 #18067598

Order 4864.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3542C211yesmaximal, characteristic, complemented
2C19×#3488C211yesmaximal, characteristic, complemented
3C19×#3319C211yesmaximal, characteristic, complemented
4C19×#3310C211yesmaximal, characteristic, complemented
5C19×#3309C211yesmaximal, characteristic, complemented
6C19×#3308C211yesmaximal, characteristic, complemented
7C19×#3305C211yesmaximal, characteristic, complemented
8C19×#3300C211yesmaximal, characteristic, complemented
9C19×#3297C211yesmaximal, characteristic, complemented
10C19×#3294C211yesmaximal, characteristic, complemented
11C19×#3287C211yesmaximal, characteristic, complemented
12C19×#3282C211yesmaximal, characteristic, complemented
13C19×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C19C211yesmaximal, characteristic, complemented
15C19×#3268C211yesmaximal, characteristic, complemented
16C19×#3268C211yesmaximal, characteristic, complemented
17C19×#3265C211yesmaximal, characteristic, complemented
18C19×#3264C211yesmaximal, characteristic, complemented
19C19×#3224C211yesmaximal, characteristic, complemented
20C19×#3220C211yesmaximal, characteristic, complemented
21C19×#3203C211yesmaximal, characteristic, complemented
22C19×#3198C211yesmaximal, characteristic, complemented
23C19×#3188C211yesmaximal, characteristic, complemented
24C19×#3186C211yesmaximal, characteristic, complemented
25C19×#3124C211yesmaximal, characteristic, complemented
26C19×#3119C211yesmaximal, characteristic, complemented
27C19×#3012C211yesmaximal, characteristic, complemented
28C19×#3008C211yesmaximal, characteristic, complemented
29C19×#3002C211yesmaximal, characteristic, complemented
30C2×C19×#449C211yesmaximal, characteristic, complemented
31C19×#2977C211yesmaximal, characteristic, complemented
32C2×C19×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×#41×C19C2211yescharacteristic, complemented
34C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C19×#135C2211yescharacteristic, complemented
37C2×C19×#135C2211yescharacteristic, complemented
38C2×C19×#135C2211yescharacteristic, complemented
39C22×SD16×C19C2211yescharacteristic, complemented
40C22×D8×C19C2211yescharacteristic, complemented
41C22×D8×C19C2211yescharacteristic, complemented
42C19×#562—21no—
43C19×#560—21no—
44C19×#555C2211yescharacteristic, complemented
45C19×#553C2211yescharacteristic, complemented
46C19×#552C2211yescharacteristic, complemented
47C19×#551—21no—
48C19×#550C2211yescharacteristic, complemented
49C19×#550C2211yescharacteristic, complemented
50C19×#550C2211yescharacteristic, complemented
51C19×#548C2211yescharacteristic
52C19×#548C2211yescharacteristic, complemented
53C19×#547C2211yescharacteristic, complemented
54C19×#546—21no—
55C19×#546—21no—
56C19×#546—21no—
57C19×#546C2211yescharacteristic, complemented
58C19×#546C2211yescharacteristic, complemented
59C19×#546C2211yescharacteristic, complemented
60C19×#546C2211yescharacteristic, complemented
61D42×C19—21no—
62D42×C19—21no—
63D42×C19C2211yescharacteristic
64D42×C19C2211yescharacteristic, complemented
65D42×C19C2211yescharacteristic, complemented
66C19×#542C2211yescharacteristic, complemented
67C19×#540—21no—
68C19×#540C2211yescharacteristic, complemented
69C19×#538—21no—
70C19×#537—21no—
71C19×#537C2211yescharacteristic, complemented
72C19×#537C2211yescharacteristic, complemented
73C19×#535—21no—
74C19×#535—21no—
75C19×#535C2211yescharacteristic, complemented
76C19×#535C2211yescharacteristic, complemented
77C19×#534—21no—
78C19×#525—21no—
79C19×#525C2211yescharacteristic
80C19×#525C2211yescharacteristic, complemented
81C2×C19×#121—21no—
82C2×C19×#121C2211yescharacteristic, complemented
83C2×C19×#121C2211yescharacteristic, complemented
84C19×#520C2211yescharacteristic, complemented
85C19×#496C2211yescharacteristic, complemented
86C19×#496C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#493C2211yescharacteristic, complemented
89C19×#490C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#486C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#484C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic, complemented
96C19×#482C2211yescharacteristic, complemented
97C19×#482C2211yescharacteristic, complemented
98C19×#482C2211yescharacteristic, complemented
99C19×#481C2211yescharacteristic, complemented
100C19×#480C2211yescharacteristic, complemented
101C19×#480C2211yescharacteristic, complemented
102C19×#480C2211yescharacteristic, complemented
103C19×#480C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, complemented
105C19×#479C2211yescharacteristic, complemented
106C19×#478C2211yescharacteristic, complemented
107C19×#477C2211yescharacteristic, complemented
108C19×#474C2211yescharacteristic, complemented
109C19×#469C2211yescharacteristic, complemented
110C19×#468C2211yescharacteristic, complemented
111C19×#468C2211yescharacteristic, complemented
112C19×#468C2211yescharacteristic, complemented
113C19×#467C2211yescharacteristic, complemented
114C19×#466C2211yescharacteristic, complemented
115C19×#466C2211yescharacteristic, complemented
116C19×#466C2211yescharacteristic, complemented
117C19×#466C2211yescharacteristic, complemented
118C19×#466C2211yescharacteristic, complemented
119C19×#466C2211yescharacteristic, complemented
120C19×#466C2211yescharacteristic, complemented
121C19×#466C2211yescharacteristic, complemented
122C19×#465C2211yescharacteristic, complemented
123C19×#465C2211yescharacteristic, complemented
124C19×#465C2211yescharacteristic, complemented
125C19×#464C2211yescharacteristic, complemented
126C19×#464C2211yescharacteristic, complemented
127C19×#463C2211yescharacteristic, complemented
128C19×#463C2211yescharacteristic, complemented
129C19×#463C2211yescharacteristic, complemented
130C19×#463C2211yescharacteristic, complemented
131C19×#460C2211yescharacteristic, complemented
132C19×#460C2211yescharacteristic, complemented
133C19×#459C2211yescharacteristic, complemented
134C19×#459C2211yescharacteristic, complemented
135C19×#459C2211yescharacteristic, complemented
136C19×#459C2211yescharacteristic, complemented
137C19×#452C2211yescharacteristic, complemented
138C19×#452C2211yescharacteristic, complemented
139C19×#452C2211yescharacteristic, complemented
140C19×#452C2211yescharacteristic, complemented
141C19×#451C2211yescharacteristic, complemented
142C19×#450C2211yescharacteristic, complemented
143C19×#450C2211yescharacteristic, complemented
144C19×#450C2211yescharacteristic, complemented
145C19×#450C2211yescharacteristic, complemented
146C19×#449C2211yescharacteristic
147C19×#449C2211yescharacteristic, complemented
148C19×#449C2211yescharacteristic, complemented
149C19×#449C2211yescharacteristic, complemented
150C19×#449C2211yescharacteristic, complemented
151C19×#449C2211yescharacteristic, complemented
152C19×#449C2211yescharacteristic, complemented
153C19×#449C2211yescharacteristic, complemented
154C19×#449C2211yescharacteristic, complemented
155C19×#449C2211yescharacteristic, complemented
156C19×#449C2211yescharacteristic, complemented
157C19×#449C2211yescharacteristic, complemented
158C19×#449C2211yescharacteristic, complemented
159C19×#449C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic, complemented
161C19×#449C2211yescharacteristic, complemented
162C19×#448C2211yescharacteristic, complemented
163C19×#447C2211yescharacteristic, complemented
164C19×#447C2211yescharacteristic, complemented
165C19×#447C2211yescharacteristic, complemented
166C19×#447C2211yescharacteristic, complemented
167C19×#447C2211yescharacteristic, complemented
168C19×#447C2211yescharacteristic, complemented
169C19×#447C2211yescharacteristic, complemented
170C19×#447C2211yescharacteristic, complemented
171C19×#447C2211yescharacteristic, complemented
172C19×#447C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic, complemented
174C19×#440C2211yescharacteristic, complemented
175C19×#440C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×Q16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C4×D8×C19C2211yescharacteristic, complemented
180C4×D8×C19C2211yescharacteristic, complemented
181C19×#435C2211yescharacteristic, complemented
182C19×#435C2211yescharacteristic, complemented
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C8×D4×C19C2211yescharacteristic, complemented
186C8×D4×C19C2211yescharacteristic, complemented
187C8×D4×C19C2211yescharacteristic, complemented
188C8×D4×C19C2211yescharacteristic, complemented
189C19×#433C2211yescharacteristic, complemented
190C19×#433C2211yescharacteristic, complemented
191C19×#418C2211yescharacteristic, complemented
192C19×#417C2211yescharacteristic, complemented
193C19×#416C2211yescharacteristic, complemented
194C19×#416C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic, complemented
196C2×C19×#103C2211yescharacteristic, complemented
197C2×C19×#102C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C2×C19×C22⋊C8C2211yescharacteristic, 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—21no—
209C2×#41×C19—42no—
210C2×#41×C19—42no—
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×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×C19—21no—
229C22×D4×C19—21no—
230C22×D4×C19C2311yescharacteristic
231C22×D4×C19C2311yescharacteristic
232C22×D4×C19C2311yescharacteristic
233C22×D4×C19C2311yescharacteristic
234C22×D4×C19C2311yescharacteristic
235C22×D4×C19C2311yescharacteristic
236C23×C4×C19—21no—
237C23×C4×C19C2311yescharacteristic
238C19×AGL(1,ℤ/8)—42no—
239C19×AGL(1,ℤ/8)—42no—
240C19×#135—42no—
241C19×#135—42no—
242C19×#135—42no—
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×D8×C19—42no—
257C2×D8×C19—42no—
258C2×D8×C19C2311yescharacteristic
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×D8×C19C2311yescharacteristic
268C2×D8×C19C2311yescharacteristic
269C2×D8×C19C2311yescharacteristic
270C2×M16×C19C2311yescharacteristic
271C2×M16×C19C2311yescharacteristic
272C22×C8×C19C2311yescharacteristic
273C22×C8×C19C2311yescharacteristic
274C22×C8×C19C2311yescharacteristic
275C22×C8×C19C2311yescharacteristic
276C22×C8×C19C2311yescharacteristic
277C22×C8×C19C2311yescharacteristic
278C19×C4⋊Q8C2311yescharacteristic
279C19×#127—21no—
280C19×#127—21no—
281C19×#127—21no—
282C19×#127—21no—
283C19×#127C2311yescharacteristic
284C19×#127C2311yescharacteristic
285C19×#127C2311yescharacteristic
286C19×#126—21no—
287C19×#126—21no—
288C19×#126—21no—
289C19×#125—21no—
290C19×#125C2311yescharacteristic
291C19×#124—21no—
292C19×#124—21no—
293C19×#124—21no—
294C19×#124—21no—
295C19×#124—21no—
296C19×#124—21no—
297C19×#124C2311yescharacteristic
298C19×#124C2311yescharacteristic
299C19×#124C2311yescharacteristic
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123D411yescharacteristic
313C19×#123D411yescharacteristic
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8—21no—
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8D411yescharacteristic
321C19×C22⋊Q8D411yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×C22⋊Q8C2311yescharacteristic
324C19×C22⋊Q8C2311yescharacteristic
325C19×C22⋊Q8C2311yescharacteristic
326C19×C22⋊Q8C2311yescharacteristic
327C19×#121—21no—
328C19×#121—21no—
329C19×#121—21no—
330C19×#121—21no—
331C19×#121—21no—
332C19×#121—21no—
333C19×#121—21no—
334C19×#121—21no—
335C19×#121—21no—
336C19×#121—21no—
337C19×#121—21no—
338C19×#121—21no—
339C19×#121—21no—
340C19×#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×#121D411yescharacteristic
359C19×#121D411yescharacteristic
360C19×#121C2311yescharacteristic
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×#121C2311yescharacteristic
374C19×#121C2311yescharacteristic
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×#120—21no—
388C19×#120—21no—
389C19×#120—21no—
390C19×#120D411yescharacteristic
391C19×#120D411yescharacteristic
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×C19C2311yescharacteristic
406C4×D4×C19C2311yescharacteristic
407C4×D4×C19C2311yescharacteristic
408C4×D4×C19C2311yescharacteristic
409C4×D4×C19C2311yescharacteristic
410C4×D4×C19C2311yescharacteristic
411C4×D4×C19C2311yescharacteristic
412C4×D4×C19C2311yescharacteristic
413C4×D4×C19C2311yescharacteristic
414C19×#117—21no—
415C19×#117—21no—
416C19×#117—21no—
417C19×#117C2311yescharacteristic
418C19×#117C2311yescharacteristic
419C19×#117C2311yescharacteristic
420C2×C4⋊C4×C19—21no—
421C2×C4⋊C4×C19C2311yescharacteristic
422C2×C4⋊C4×C19C2311yescharacteristic
423C2×C4⋊C4×C19C2311yescharacteristic
424C2×C22⋊C4×C19—21no—
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×#107C2311yescharacteristic
435C19×#107C2311yescharacteristic
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×#102C2311yescharacteristic
453C19×#102C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#102C2311yescharacteristic
467C19×#102C2311yescharacteristic
468C19×#102C2311yescharacteristic
469C19×#102C2311yescharacteristic
470C19×#102C2311yescharacteristic
471C19×#102C2311yescharacteristic
472C19×#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×C19—21no—
496C24×C19C2×D411yescharacteristic
497#41×C19—22no—
498#41×C19—22no—
499#41×C19—22no—
500#41×C19—22no—
501#41×C19—22no—
502#41×C19—22no—
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—41no—
511#41×C19—44no—
512#41×C19—44no—
513#41×C19—41no—
514#41×C19—41no—
515#41×C19—41no—
516#41×C19—41no—
517#41×C19—44no—
518#41×C19—82no—
519C2×Q8×C19—21no—
520C2×Q8×C19—21no—
521C2×Q8×C19—22no—
522C2×Q8×C19—41no—
523C2×Q8×C19C2×D411yescharacteristic
524C2×Q8×C19C2411yescharacteristic
525C2×Q8×C19C2411yescharacteristic
526C2×Q8×C19C2411yescharacteristic
527C2×D4×C19—21no—
528C2×D4×C19—22no—
529C2×D4×C19—22no—
530C2×D4×C19—22no—
531C2×D4×C19—21no—
532C2×D4×C19—21no—
533C2×D4×C19—21no—
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—21no—
563C2×D4×C19—21no—
564C2×D4×C19—21no—
565C2×D4×C19—41no—
566C2×D4×C19—41no—
567C2×D4×C19—41no—
568C2×D4×C19—41no—
569C2×D4×C19—41no—
570C2×D4×C19—41no—
571C2×D4×C19—41no—
572C2×D4×C19—41no—
573C2×D4×C19—41no—
574C2×D4×C19—44no—
575C2×D4×C19—44no—
576C2×D4×C19—44no—
577C2×D4×C19—44no—
578C2×D4×C19—82no—
579C2×D4×C19—82no—
580C2×D4×C19—82no—
581C2×D4×C19—82no—
582C2×D4×C19—82no—
583C2×D4×C19C2×D411yescharacteristic
584C2×D4×C19C2×D411yescharacteristic
585C2×D4×C19C2×D411yescharacteristic
586C2×D4×C19C2×D411yescharacteristic
587C2×D4×C19C2×D411yescharacteristic
588C2×D4×C19C2×D411yescharacteristic
589C2×D4×C19C2×D411yescharacteristic
590C2×D4×C19C2411yescharacteristic
591C2×D4×C19C2411yescharacteristic
592C2×D4×C19C2411yescharacteristic
593C2×D4×C19C2411yescharacteristic
594C2×D4×C19C2411yescharacteristic
595C2×D4×C19C2411yescharacteristic
596C2×D4×C19C2411yescharacteristic
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—21no—
605C22×C4×C19—21no—
606C22×C4×C19—21no—
607C22×C4×C19—21no—
608C22×C4×C19—21no—
609C22×C4×C19—21no—
610C22×C4×C19—21no—
611C22×C4×C19—21no—
612C22×C4×C19—21no—
613C22×C4×C19—21no—
614C22×C4×C19—41no—
615C22×C4×C19—41no—
616C22×C4×C19—44no—
617C22×C4×C19C2×D411yescharacteristic
618C22×C4×C19C2×D411yescharacteristic
619C22×C4×C19C2×D411yescharacteristic
620C22×C4×C19C2411yescharacteristic
621C22×C4×C19C2411yescharacteristic
622C22×C4×C19C2411yescharacteristic
623C22×C4×C19C2411yescharacteristic
624C22×C4×C19C2411yescharacteristic
625Q16×C19—22no—
626Q16×C19—41no—
627SD16×C19—22no—
628SD16×C19—22no—
629SD16×C19—22no—
630SD16×C19—22no—
631SD16×C19—41no—
632SD16×C19—41no—
633SD16×C19—41no—
634SD16×C19—41no—
635SD16×C19—41no—
636SD16×C19—41no—
637D8×C19—22no—
638D8×C19—22no—
639D8×C19—22no—
640D8×C19—41no—
641D8×C19—41no—
642D8×C19—41no—
643D8×C19—41no—
644D8×C19—41no—
645D8×C19—41no—
646D8×C19—41no—
647D8×C19—41no—
648D8×C19—41no—
649M16×C19—41no—
650M16×C19—41no—
651C2×C8×C19—41no—
652C2×C8×C19—41no—
653C2×C8×C19—41no—
654C2×C8×C19—41no—
655C2×C8×C19—41no—
656C2×C8×C19—41no—
657C2×C8×C19C2411yescharacteristic
658C2×C8×C19C2411yescharacteristic
659C2×C8×C19C2411yescharacteristic
660C2×C8×C19C2411yescharacteristic
661C2×C8×C19C2411yescharacteristic
662C2×C8×C19C2411yescharacteristic
663C2×C8×C19C2411yescharacteristic
664C2×C8×C19C2411yescharacteristic
665C4⋊C4×C19—21no—
666C4⋊C4×C19—21no—
667C4⋊C4×C19—21no—
668C4⋊C4×C19—21no—
669C4⋊C4×C19—21no—
670C4⋊C4×C19—21no—
671C4⋊C4×C19—21no—
672C4⋊C4×C19—21no—
673C4⋊C4×C19—21no—
674C4⋊C4×C19—21no—
675C4⋊C4×C19—21no—
676C4⋊C4×C19—21no—
677C4⋊C4×C19—21no—
678C4⋊C4×C19—21no—
679C4⋊C4×C19C2×D411yescharacteristic
680C4⋊C4×C19C2×D411yescharacteristic
681C4⋊C4×C19C2×D411yescharacteristic
682C4⋊C4×C19C2×D411yescharacteristic
683C4⋊C4×C19C2×D411yescharacteristic
684C4⋊C4×C19C2×D411yescharacteristic
685C4⋊C4×C19C2411yescharacteristic
686C4⋊C4×C19C2411yescharacteristic
687C4⋊C4×C19C2411yescharacteristic
688C4⋊C4×C19C2411yescharacteristic
689C4⋊C4×C19C2411yescharacteristic
690C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
719C22⋊C4×C19—21no—
720C22⋊C4×C19—21no—
721C22⋊C4×C19—21no—
722C22⋊C4×C19—21no—
723C22⋊C4×C19—21no—
724C22⋊C4×C19C2×D411yescharacteristic
725C22⋊C4×C19C2×D411yescharacteristic
726C22⋊C4×C19C2×D411yescharacteristic
727C22⋊C4×C19C2×D411yescharacteristic
728C22⋊C4×C19C2×D411yescharacteristic
729C22⋊C4×C19C2×D411yescharacteristic
730C22⋊C4×C19C2×D411yescharacteristic
731C22⋊C4×C19C2×D411yescharacteristic
732C22⋊C4×C19C2×D411yescharacteristic
733C22⋊C4×C19C2×D411yescharacteristic
734C42×C19—21no—
735C42×C19—21no—
736C42×C19—21no—
737C42×C19—21no—
738C42×C19—21no—
739C42×C19C2411yescharacteristic
740C42×C19C2411yescharacteristic
741#61639C1911yesmaximal, characteristic, direct product factor, Sylow
742C23×C19—21no—
743C23×C19—22no—
744C23×C19—21no—
745C23×C19—21no—
746C23×C19—21no—
747C23×C19—21no—
748C23×C19—21no—
749C23×C19—21no—
750C23×C19—41no—
751C23×C19—41no—
752C23×C19—42no—
753C23×C19—42no—
754C23×C19—42no—
755C23×C19—42no—
756C23×C19—42no—
757C23×C19—42no—
758C23×C19—81no—
759C23×C19—81no—
760C23×C19—81no—
761C23×C19—81no—
762C23×C19—81no—
763C23×C19—81no—
764C23×C19—81no—
765C23×C19—81no—
766C23×C19—81no—
767C23×C19—81no—
768C23×C19—81no—
769C23×C19—81no—
770C23×C19C22×D411yescharacteristic
771C23×C19C22×D411yescharacteristic
772C23×C19C22×D411yescharacteristic
773C23×C19C22×D411yescharacteristic
774C23×C19C22×D411yescharacteristic
775Q8×C19—21no—
776Q8×C19—21no—
777Q8×C19—21no—
778Q8×C19—21no—
779Q8×C19—21no—
780Q8×C19—41no—
781Q8×C19—42no—
782Q8×C19—81no—
783Q8×C19H(5,𝔽2)12yes—
784D4×C19—24no—
785D4×C19—22no—
786D4×C19—22no—
787D4×C19—21no—
788D4×C19—21no—
789D4×C19—21no—
790D4×C19—21no—
791D4×C19—21no—
792D4×C19—21no—
793D4×C19—21no—
794D4×C19—21no—
795D4×C19—21no—
796D4×C19—21no—
797D4×C19—21no—
798D4×C19—21no—
799D4×C19—21no—
800D4×C19—41no—
801D4×C19—41no—
802D4×C19—41no—
803D4×C19—41no—
804D4×C19—41no—
805D4×C19—42no—
806D4×C19—42no—
807D4×C19—42no—
808D4×C19—42no—
809D4×C19—42no—
810D4×C19—42no—
811D4×C19—42no—
812D4×C19—42no—
813D4×C19—42no—
814D4×C19—42no—
815D4×C19—42no—
816D4×C19—42no—
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×C19—81no—
829D4×C19—81no—
830D4×C19—81no—
831D4×C19—81no—
832D4×C19—81no—
833D4×C19—81no—
834D4×C19—81no—
835D4×C19—81no—
836D4×C19—81no—
837D4×C19—81no—
838D4×C19—81no—
839D4×C19H(5,𝔽2)12yes—
840C2×C4×C19—24no—
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—21no—
851C2×C4×C19—21no—
852C2×C4×C19—21no—
853C2×C4×C19—21no—
854C2×C4×C19—21no—
855C2×C4×C19—21no—
856C2×C4×C19—21no—
857C2×C4×C19—21no—
858C2×C4×C19—21no—
859C2×C4×C19—21no—
860C2×C4×C19—41no—
861C2×C4×C19—41no—
862C2×C4×C19—41no—
863C2×C4×C19—42no—
864C2×C4×C19—42no—
865C2×C4×C19—42no—
866C2×C4×C19—42no—
867C2×C4×C19—42no—
868C2×C4×C19—42no—
869C2×C4×C19—42no—
870C2×C4×C19—81no—
871C2×C4×C19—81no—
872C2×C4×C19—81no—
873C2×C4×C19—81no—
874C2×C4×C19—81no—
875C2×C4×C19—81no—
876C2×C4×C19—81no—
877C2×C4×C19—81no—
878C2×C4×C19—81no—
879C2×C4×C19C22×D411yescharacteristic
880C2×C4×C19C22×D411yescharacteristic
881C2×C4×C19C22×D411yescharacteristic
882C2×C4×C19C22×D411yescharacteristic
883C2×C4×C19C22×D411yescharacteristic
884C2×C4×C19C22×D411yescharacteristic
885C2×C4×C19C22×D411yescharacteristic
886C2×C4×C19C22×D411yescharacteristic
887C2×C4×C19C22×D411yescharacteristic
888C2×C4×C19C2511yescharacteristic
889C8×C19—21no—
890C8×C19—21no—
891C8×C19—21no—
892C8×C19—21no—
893C8×C19—21no—
894C8×C19—21no—
895C8×C19—21no—
896C8×C19—21no—
897#3542C2×C1911yescharacteristic, complemented
898#3488C2×C1911yescharacteristic, complemented
899#3319C2×C1911yescharacteristic, complemented
900#3310C2×C1911yescharacteristic, complemented
901#3309C2×C1911yescharacteristic, complemented
902#3308C2×C1911yescharacteristic, complemented
903#3305C2×C1911yescharacteristic, complemented
904#3300C2×C1911yescharacteristic, complemented
905#3297C2×C1911yescharacteristic, complemented
906#3294C2×C1911yescharacteristic, complemented
907#3287C2×C1911yescharacteristic, complemented
908#3282C2×C1911yescharacteristic, complemented
909#3280C2×C1911yescharacteristic, complemented
910D4×D8C2×C1911yescharacteristic, complemented
911#3268C2×C1911yescharacteristic, complemented
912#3268C2×C1911yescharacteristic, complemented
913#3265C2×C1911yescharacteristic, complemented
914#3264C2×C1911yescharacteristic, complemented
915#3224C2×C1911yescharacteristic, complemented
916#3220C2×C1911yescharacteristic, complemented
917#3203C2×C1911yescharacteristic, complemented
918#3198C2×C1911yescharacteristic, complemented
919#3188C2×C1911yescharacteristic, complemented
920#3186C2×C1911yescharacteristic, complemented
921#3124C2×C1911yescharacteristic, complemented
922#3119C2×C1911yescharacteristic, complemented
923#3012C2×C1911yescharacteristic, complemented
924#3008C2×C1911yescharacteristic, complemented
925#3002C2×C1911yescharacteristic, complemented
926C2×#449C2×C1911yescharacteristic, complemented
927#2977C2×C1911yescharacteristic, complemented
928C22×C19—21no—
929C22×C19—21no—
930C22×C19—21no—
931C22×C19—21no—
932C22×C19—21no—
933C22×C19—21no—
934C22×C19—21no—
935C22×C19—22no—
936C22×C19—21no—
937C22×C19—21no—
938C22×C19—21no—
939C22×C19—21no—
940C22×C19—21no—
941C22×C19—21no—
942C22×C19—21no—
943C22×C19—41no—
944C22×C19—41no—
945C22×C19—41no—
946C22×C19—41no—
947C22×C19—41no—
948C22×C19—41no—
949C22×C19—41no—
950C22×C19—41no—
951C22×C19—41no—
952C22×C19—41no—
953C22×C19—41no—
954C22×C19—41no—
955C22×C19—41no—
956C22×C19—41no—
957C22×C19—41no—
958C22×C19—41no—
959C22×C19—41no—
960C22×C19—41no—
961C22×C19—41no—
962C22×C19—41no—
963C22×C19—82no—
964C22×C19—84no—
965C22×C19—162no—
966C22×C19—162no—
967C22×C19—162no—
968C22×C19—162no—
969C22×C19—162no—
970C22×C19#57612yes—
971C22×C19C23×D411yescharacteristic
972C4×C19—21no—
973C4×C19—21no—
974C4×C19—21no—
975C4×C19—22no—
976C4×C19—21no—
977C4×C19—21no—
978C4×C19—21no—
979C4×C19—21no—
980C4×C19—21no—
981C4×C19—21no—
982C4×C19—41no—
983C4×C19—41no—
984C4×C19—41no—
985C4×C19—41no—
986C4×C19—41no—
987C4×C19—41no—
988C4×C19—41no—
989C4×C19—41no—
990C4×C19C2×H(5,𝔽2)11yescharacteristic
991C4×C19C2×H(5,𝔽2)11yescharacteristic
992C2×H(5,𝔽2)C22×C1911yescharacteristic, complemented
993C22×#41C22×C1911yescharacteristic, complemented
994C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
995C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
996C2×#135C22×C1911yescharacteristic, complemented
997C2×#135C22×C1911yescharacteristic, complemented
998C2×#135C22×C1911yescharacteristic, complemented
999C22×SD16C22×C1911yescharacteristic, complemented
1000C22×D8C22×C1911yescharacteristic, complemented
1001C22×D8C22×C1911yescharacteristic, complemented
1002#562—21no—
1003#560—21no—
1004#555C22×C1911yescharacteristic, complemented
1005#553C22×C1911yescharacteristic, complemented
1006#552C22×C1911yescharacteristic, complemented
1007#551—21no—
1008#550C22×C1911yescharacteristic, complemented
1009#550C22×C1911yescharacteristic, complemented
1010#550C22×C1911yescharacteristic, complemented
1011#548C22×C1911yescharacteristic
1012#548C22×C1911yescharacteristic, complemented
1013#547C22×C1911yescharacteristic, complemented
1014#546—21no—
1015#546—21no—
1016#546—21no—
1017#546C22×C1911yescharacteristic, complemented
1018#546C22×C1911yescharacteristic, complemented
1019#546C22×C1911yescharacteristic, complemented
1020#546C22×C1911yescharacteristic, complemented
1021D42—21no—
1022D42—21no—
1023D42C22×C1911yescharacteristic
1024D42C22×C1911yescharacteristic, complemented
1025D42C22×C1911yescharacteristic, complemented
1026#542C22×C1911yescharacteristic, complemented
1027#540—21no—
1028#540C22×C1911yescharacteristic, complemented
1029#538—21no—
1030#537—21no—
1031#537C22×C1911yescharacteristic, complemented
1032#537C22×C1911yescharacteristic, complemented
1033#535—21no—
1034#535—21no—
1035#535C22×C1911yescharacteristic, complemented
1036#535C22×C1911yescharacteristic, complemented
1037#534—21no—
1038#525—21no—
1039#525C22×C1911yescharacteristic
1040#525C22×C1911yescharacteristic, complemented
1041C2×#121—21no—
1042C2×#121C22×C1911yescharacteristic, complemented
1043C2×#121C22×C1911yescharacteristic, complemented
1044#520C22×C1911yescharacteristic, complemented
1045#496C22×C1911yescharacteristic, complemented
1046#496C22×C1911yescharacteristic, complemented
1047#495C22×C1911yescharacteristic, complemented
1048#493C22×C1911yescharacteristic, complemented
1049#490C22×C1911yescharacteristic, complemented
1050#489C22×C1911yescharacteristic, complemented
1051#488C22×C1911yescharacteristic, complemented
1052#486C22×C1911yescharacteristic, complemented
1053#485C22×C1911yescharacteristic, complemented
1054#484C22×C1911yescharacteristic, complemented
1055#484C22×C1911yescharacteristic, complemented
1056#482C22×C1911yescharacteristic, complemented
1057#482C22×C1911yescharacteristic, complemented
1058#482C22×C1911yescharacteristic, complemented
1059#481C22×C1911yescharacteristic, complemented
1060#480C22×C1911yescharacteristic, complemented
1061#480C22×C1911yescharacteristic, complemented
1062#480C22×C1911yescharacteristic, complemented
1063#480C22×C1911yescharacteristic, complemented
1064#480C22×C1911yescharacteristic, complemented
1065#479C22×C1911yescharacteristic, complemented
1066#478C22×C1911yescharacteristic, complemented
1067#477C22×C1911yescharacteristic, complemented
1068#474C22×C1911yescharacteristic, complemented
1069#469C22×C1911yescharacteristic, complemented
1070#468C22×C1911yescharacteristic, complemented
1071#468C22×C1911yescharacteristic, complemented
1072#468C22×C1911yescharacteristic, complemented
1073#467C22×C1911yescharacteristic, complemented
1074#466C22×C1911yescharacteristic, complemented
1075#466C22×C1911yescharacteristic, complemented
1076#466C22×C1911yescharacteristic, complemented
1077#466C22×C1911yescharacteristic, complemented
1078#466C22×C1911yescharacteristic, complemented
1079#466C22×C1911yescharacteristic, complemented
1080#466C22×C1911yescharacteristic, complemented
1081#466C22×C1911yescharacteristic, complemented
1082#465C22×C1911yescharacteristic, complemented
1083#465C22×C1911yescharacteristic, complemented
1084#465C22×C1911yescharacteristic, complemented
1085#464C22×C1911yescharacteristic, complemented
1086#464C22×C1911yescharacteristic, complemented
1087#463C22×C1911yescharacteristic, complemented
1088#463C22×C1911yescharacteristic, complemented
1089#463C22×C1911yescharacteristic, complemented
1090#463C22×C1911yescharacteristic, complemented
1091#460C22×C1911yescharacteristic, complemented
1092#460C22×C1911yescharacteristic, complemented
1093#459C22×C1911yescharacteristic, complemented
1094#459C22×C1911yescharacteristic, complemented
1095#459C22×C1911yescharacteristic, complemented
1096#459C22×C1911yescharacteristic, complemented
1097#452C22×C1911yescharacteristic, complemented
1098#452C22×C1911yescharacteristic, complemented
1099#452C22×C1911yescharacteristic, complemented
1100#452C22×C1911yescharacteristic, complemented
1101#451C22×C1911yescharacteristic, complemented
1102#450C22×C1911yescharacteristic, complemented
1103#450C22×C1911yescharacteristic, complemented
1104#450C22×C1911yescharacteristic, complemented
1105#450C22×C1911yescharacteristic, complemented
1106#449C22×C1911yescharacteristic
1107#449C22×C1911yescharacteristic, complemented
1108#449C22×C1911yescharacteristic, complemented
1109#449C22×C1911yescharacteristic, complemented
1110#449C22×C1911yescharacteristic, complemented
1111#449C22×C1911yescharacteristic, complemented
1112#449C22×C1911yescharacteristic, complemented
1113#449C22×C1911yescharacteristic, complemented
1114#449C22×C1911yescharacteristic, complemented
1115#449C22×C1911yescharacteristic, complemented
1116#449C22×C1911yescharacteristic, complemented
1117#449C22×C1911yescharacteristic, complemented
1118#449C22×C1911yescharacteristic, complemented
1119#449C22×C1911yescharacteristic, complemented
1120#449C22×C1911yescharacteristic, complemented
1121#449C22×C1911yescharacteristic, complemented
1122#448C22×C1911yescharacteristic, complemented
1123#447C22×C1911yescharacteristic, complemented
1124#447C22×C1911yescharacteristic, complemented
1125#447C22×C1911yescharacteristic, complemented
1126#447C22×C1911yescharacteristic, complemented
1127#447C22×C1911yescharacteristic, complemented
1128#447C22×C1911yescharacteristic, complemented
1129#447C22×C1911yescharacteristic, complemented
1130#447C22×C1911yescharacteristic, complemented
1131#447C22×C1911yescharacteristic, complemented
1132#447C22×C1911yescharacteristic, complemented
1133#442C22×C1911yescharacteristic, complemented
1134#440C22×C1911yescharacteristic, complemented
1135#440C22×C1911yescharacteristic, complemented
1136#440C22×C1911yescharacteristic, complemented
1137C4×Q16C22×C1911yescharacteristic, complemented
1138C4×SD16C22×C1911yescharacteristic, complemented
1139C4×D8C22×C1911yescharacteristic, complemented
1140C4×D8C22×C1911yescharacteristic, complemented
1141#435C22×C1911yescharacteristic, complemented
1142#435C22×C1911yescharacteristic, complemented
1143#435C22×C1911yescharacteristic, complemented
1144#435C22×C1911yescharacteristic, complemented
1145C8×D4C22×C1911yescharacteristic, complemented
1146C8×D4C22×C1911yescharacteristic, complemented
1147C8×D4C22×C1911yescharacteristic, complemented
1148C8×D4C22×C1911yescharacteristic, complemented
1149#433C22×C1911yescharacteristic, complemented
1150#433C22×C1911yescharacteristic, complemented
1151#418C22×C1911yescharacteristic, complemented
1152#417C22×C1911yescharacteristic, complemented
1153#416C22×C1911yescharacteristic, complemented
1154#416C22×C1911yescharacteristic, complemented
1155#416C22×C1911yescharacteristic, complemented
1156C2×#103C22×C1911yescharacteristic, complemented
1157C2×#102C22×C1911yescharacteristic, complemented
1158C2×#102C22×C1911yescharacteristic, complemented
1159#408C22×C1911yescharacteristic, complemented
1160#408C22×C1911yescharacteristic, complemented
1161C2×C22⋊C8C22×C1911yescharacteristic, complemented
1162C2×C22⋊C8C22×C1911yescharacteristic, complemented
1163C2×C19—22no—
1164C2×C19—41no—
1165C2×C19—41no—
1166C2×C19—41no—
1167C2×C19—41no—
1168C2×C19—42no—
1169C2×C19—81no—
1170C2×C19—81no—
1171C2×C19—81no—
1172C2×C19—81no—
1173C2×C19—81no—
1174C2×C19—81no—
1175C2×C19#348411yescharacteristic
1176C2×C19C2×#57611yescharacteristic
1177C2×C19#358411yescharacteristic
1178H(5,𝔽2)—42no—
1179H(5,𝔽2)—42no—
1180C2×#41—21no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—42no—
1185C2×#41—42no—
1186C2×#41C23×C1911yescharacteristic
1187C2×#41C23×C1911yescharacteristic
1188C2×#41C23×C1911yescharacteristic
1189C2×#41C23×C1911yescharacteristic
1190C2×#41C23×C1911yescharacteristic
1191C2×#41C23×C1911yescharacteristic
1192C2×#41C23×C1911yescharacteristic
1193C2×#41C23×C1911yescharacteristic
1194C2×#41C23×C1911yescharacteristic
1195C22×Q8C23×C1911yescharacteristic
1196C22×D4—21no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4C23×C1911yescharacteristic
1206C22×D4C23×C1911yescharacteristic
1207C22×D4C23×C1911yescharacteristic
1208C22×D4C23×C1911yescharacteristic
1209C22×D4C23×C1911yescharacteristic
1210C22×D4C23×C1911yescharacteristic
1211C23×C4—21no—
1212C23×C4C23×C1911yescharacteristic
1213AGL(1,ℤ/8)—42no—
1214AGL(1,ℤ/8)—42no—
1215#135—42no—
1216#135—42no—
1217#135—42no—
1218C2×Q16C23×C1911yescharacteristic
1219C2×Q16C23×C1911yescharacteristic
1220C2×SD16—42no—
1221C2×SD16C23×C1911yescharacteristic
1222C2×SD16C23×C1911yescharacteristic
1223C2×SD16C23×C1911yescharacteristic
1224C2×SD16C23×C1911yescharacteristic
1225C2×SD16C23×C1911yescharacteristic
1226C2×SD16C23×C1911yescharacteristic
1227C2×SD16C23×C1911yescharacteristic
1228C2×SD16C23×C1911yescharacteristic
1229C2×SD16C23×C1911yescharacteristic
1230C2×SD16C23×C1911yescharacteristic
1231C2×D8—42no—
1232C2×D8—42no—
1233C2×D8C23×C1911yescharacteristic
1234C2×D8C23×C1911yescharacteristic
1235C2×D8C23×C1911yescharacteristic
1236C2×D8C23×C1911yescharacteristic
1237C2×D8C23×C1911yescharacteristic
1238C2×D8C23×C1911yescharacteristic
1239C2×D8C23×C1911yescharacteristic
1240C2×D8C23×C1911yescharacteristic
1241C2×D8C23×C1911yescharacteristic
1242C2×D8C23×C1911yescharacteristic
1243C2×D8C23×C1911yescharacteristic
1244C2×D8C23×C1911yescharacteristic
1245C2×M16C23×C1911yescharacteristic
1246C2×M16C23×C1911yescharacteristic
1247C22×C8C23×C1911yescharacteristic
1248C22×C8C23×C1911yescharacteristic
1249C22×C8C23×C1911yescharacteristic
1250C22×C8C23×C1911yescharacteristic
1251C22×C8C23×C1911yescharacteristic
1252C22×C8C23×C1911yescharacteristic
1253C4⋊Q8C23×C1911yescharacteristic
1254#127—21no—
1255#127—21no—
1256#127—21no—
1257#127—21no—
1258#127C23×C1911yescharacteristic
1259#127C23×C1911yescharacteristic
1260#127C23×C1911yescharacteristic
1261#126—21no—
1262#126—21no—
1263#126—21no—
1264#125—21no—
1265#125C23×C1911yescharacteristic
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124C23×C1911yescharacteristic
1273#124C23×C1911yescharacteristic
1274#124C23×C1911yescharacteristic
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123D4×C1911yescharacteristic
1288#123D4×C1911yescharacteristic
1289C22⋊Q8—21no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8D4×C1911yescharacteristic
1296C22⋊Q8D4×C1911yescharacteristic
1297C22⋊Q8C23×C1911yescharacteristic
1298C22⋊Q8C23×C1911yescharacteristic
1299C22⋊Q8C23×C1911yescharacteristic
1300C22⋊Q8C23×C1911yescharacteristic
1301C22⋊Q8C23×C1911yescharacteristic
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#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121D4×C1911yescharacteristic
1334#121D4×C1911yescharacteristic
1335#121C23×C1911yescharacteristic
1336#121C23×C1911yescharacteristic
1337#121C23×C1911yescharacteristic
1338#121C23×C1911yescharacteristic
1339#121C23×C1911yescharacteristic
1340#121C23×C1911yescharacteristic
1341#121C23×C1911yescharacteristic
1342#121C23×C1911yescharacteristic
1343#121C23×C1911yescharacteristic
1344#121C23×C1911yescharacteristic
1345#121C23×C1911yescharacteristic
1346#121C23×C1911yescharacteristic
1347#121C23×C1911yescharacteristic
1348#121C23×C1911yescharacteristic
1349#121C23×C1911yescharacteristic
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—21no—
1363#120—21no—
1364#120—21no—
1365#120D4×C1911yescharacteristic
1366#120D4×C1911yescharacteristic
1367C4×Q8C23×C1911yescharacteristic
1368C4×Q8C23×C1911yescharacteristic
1369C4×Q8C23×C1911yescharacteristic
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4C23×C1911yescharacteristic
1381C4×D4C23×C1911yescharacteristic
1382C4×D4C23×C1911yescharacteristic
1383C4×D4C23×C1911yescharacteristic
1384C4×D4C23×C1911yescharacteristic
1385C4×D4C23×C1911yescharacteristic
1386C4×D4C23×C1911yescharacteristic
1387C4×D4C23×C1911yescharacteristic
1388C4×D4C23×C1911yescharacteristic
1389#117—21no—
1390#117—21no—
1391#117—21no—
1392#117C23×C1911yescharacteristic
1393#117C23×C1911yescharacteristic
1394#117C23×C1911yescharacteristic
1395C2×C4⋊C4—21no—
1396C2×C4⋊C4C23×C1911yescharacteristic
1397C2×C4⋊C4C23×C1911yescharacteristic
1398C2×C4⋊C4C23×C1911yescharacteristic
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—21no—
1404C2×C22⋊C4—21no—
1405#107C23×C1911yescharacteristic
1406#107C23×C1911yescharacteristic
1407#107C23×C1911yescharacteristic
1408#107C23×C1911yescharacteristic
1409#107C23×C1911yescharacteristic
1410#107C23×C1911yescharacteristic
1411#106C23×C1911yescharacteristic
1412#106C23×C1911yescharacteristic
1413C4⋊C8C23×C1911yescharacteristic
1414C4⋊C8C23×C1911yescharacteristic
1415C4⋊C8C23×C1911yescharacteristic
1416C4⋊C8C23×C1911yescharacteristic
1417#103C23×C1911yescharacteristic
1418#103C23×C1911yescharacteristic
1419#103C23×C1911yescharacteristic
1420#103C23×C1911yescharacteristic
1421#103C23×C1911yescharacteristic
1422#103C23×C1911yescharacteristic
1423#103C23×C1911yescharacteristic
1424#103C23×C1911yescharacteristic
1425#103C23×C1911yescharacteristic
1426#103C23×C1911yescharacteristic
1427#102C23×C1911yescharacteristic
1428#102C23×C1911yescharacteristic
1429#102C23×C1911yescharacteristic
1430#102C23×C1911yescharacteristic
1431#102C23×C1911yescharacteristic
1432#102C23×C1911yescharacteristic
1433#102C23×C1911yescharacteristic
1434#102C23×C1911yescharacteristic
1435#102C23×C1911yescharacteristic
1436#102C23×C1911yescharacteristic
1437#102C23×C1911yescharacteristic
1438#102C23×C1911yescharacteristic
1439#102C23×C1911yescharacteristic
1440#102C23×C1911yescharacteristic
1441#102C23×C1911yescharacteristic
1442#102C23×C1911yescharacteristic
1443#102C23×C1911yescharacteristic
1444#102C23×C1911yescharacteristic
1445#102C23×C1911yescharacteristic
1446#102C23×C1911yescharacteristic
1447#102C23×C1911yescharacteristic
1448#102C23×C1911yescharacteristic
1449C22⋊C8C23×C1911yescharacteristic
1450C22⋊C8C23×C1911yescharacteristic
1451C22⋊C8C23×C1911yescharacteristic
1452C22⋊C8C23×C1911yescharacteristic
1453C22⋊C8C23×C1911yescharacteristic
1454C22⋊C8C23×C1911yescharacteristic
1455C22⋊C8C23×C1911yescharacteristic
1456C22⋊C8C23×C1911yescharacteristic
1457C22⋊C8C23×C1911yescharacteristic
1458C22⋊C8C23×C1911yescharacteristic
1459C22⋊C8C23×C1911yescharacteristic
1460C22⋊C8C23×C1911yescharacteristic
1461#97C23×C1911yescharacteristic
1462#97C23×C1911yescharacteristic
1463C4×C8C23×C1911yescharacteristic
1464C4×C8C23×C1911yescharacteristic
1465C19#6163911yescharacteristic, direct product factor, Sylow
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24—21no—
1472C24C2×D4×C1911yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—44no—
1494#41—82no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8C2×D4×C1911yescharacteristic
1500C2×Q8C24×C1911yescharacteristic
1501C2×Q8C24×C1911yescharacteristic
1502C2×Q8C24×C1911yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
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—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4—82no—
1559C2×D4C2×D4×C1911yescharacteristic
1560C2×D4C2×D4×C1911yescharacteristic
1561C2×D4C2×D4×C1911yescharacteristic
1562C2×D4C2×D4×C1911yescharacteristic
1563C2×D4C2×D4×C1911yescharacteristic
1564C2×D4C2×D4×C1911yescharacteristic
1565C2×D4C2×D4×C1911yescharacteristic
1566C2×D4C24×C1911yescharacteristic
1567C2×D4C24×C1911yescharacteristic
1568C2×D4C24×C1911yescharacteristic
1569C2×D4C24×C1911yescharacteristic
1570C2×D4C24×C1911yescharacteristic
1571C2×D4C24×C1911yescharacteristic
1572C2×D4C24×C1911yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—44no—
1593C22×C4C2×D4×C1911yescharacteristic
1594C22×C4C2×D4×C1911yescharacteristic
1595C22×C4C2×D4×C1911yescharacteristic
1596C22×C4C24×C1911yescharacteristic
1597C22×C4C24×C1911yescharacteristic
1598C22×C4C24×C1911yescharacteristic
1599C22×C4C24×C1911yescharacteristic
1600C22×C4C24×C1911yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—22no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612SD16—41no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624D8—41no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C24×C1911yescharacteristic
1634C2×C8C24×C1911yescharacteristic
1635C2×C8C24×C1911yescharacteristic
1636C2×C8C24×C1911yescharacteristic
1637C2×C8C24×C1911yescharacteristic
1638C2×C8C24×C1911yescharacteristic
1639C2×C8C24×C1911yescharacteristic
1640C2×C8C24×C1911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4C2×D4×C1911yescharacteristic
1656C4⋊C4C2×D4×C1911yescharacteristic
1657C4⋊C4C2×D4×C1911yescharacteristic
1658C4⋊C4C2×D4×C1911yescharacteristic
1659C4⋊C4C2×D4×C1911yescharacteristic
1660C4⋊C4C2×D4×C1911yescharacteristic
1661C4⋊C4C24×C1911yescharacteristic
1662C4⋊C4C24×C1911yescharacteristic
1663C4⋊C4C24×C1911yescharacteristic
1664C4⋊C4C24×C1911yescharacteristic
1665C4⋊C4C24×C1911yescharacteristic
1666C4⋊C4C24×C1911yescharacteristic
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⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4C2×D4×C1911yescharacteristic
1701C22⋊C4C2×D4×C1911yescharacteristic
1702C22⋊C4C2×D4×C1911yescharacteristic
1703C22⋊C4C2×D4×C1911yescharacteristic
1704C22⋊C4C2×D4×C1911yescharacteristic
1705C22⋊C4C2×D4×C1911yescharacteristic
1706C22⋊C4C2×D4×C1911yescharacteristic
1707C22⋊C4C2×D4×C1911yescharacteristic
1708C22⋊C4C2×D4×C1911yescharacteristic
1709C22⋊C4C2×D4×C1911yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42—21no—
1715C42C24×C1911yescharacteristic
1716C42C24×C1911yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C1911yescharacteristic
1746C23C22×D4×C1911yescharacteristic
1747C23C22×D4×C1911yescharacteristic
1748C23C22×D4×C1911yescharacteristic
1749C23C22×D4×C1911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8C19×H(5,𝔽2)12yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4C19×H(5,𝔽2)12yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C1911yescharacteristic
1855C2×C4C22×D4×C1911yescharacteristic
1856C2×C4C22×D4×C1911yescharacteristic
1857C2×C4C22×D4×C1911yescharacteristic
1858C2×C4C22×D4×C1911yescharacteristic
1859C2×C4C22×D4×C1911yescharacteristic
1860C2×C4C22×D4×C1911yescharacteristic
1861C2×C4C22×D4×C1911yescharacteristic
1862C2×C4C22×D4×C1911yescharacteristic
1863C2×C4C25×C1911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22C19×#57612yes—
1915C22C23×D4×C1911yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×C19×H(5,𝔽2)11yescharacteristic
1935C4C2×C19×H(5,𝔽2)11yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C19×#348411yescharacteristic
1949C2C2×C19×#57611yescharacteristic
1950C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3542C2semidirect
2. C19×#3488C2semidirect
3. C19×#3319C2semidirect
4. C19×#3310C2semidirect
5. C19×#3309C2semidirect
6. C19×#3308C2semidirect
7. C19×#3305C2semidirect
8. C19×#3300C2semidirect
9. C19×#3297C2semidirect
10. C19×#3294C2semidirect
11. C19×#3287C2semidirect
12. C19×#3282C2semidirect
13. C19×#3280C2semidirect
14. D4×D8×C19C2semidirect
15. C19×#3268C2semidirect
16. C19×#3268C2semidirect
17. C19×#3265C2semidirect
18. C19×#3264C2semidirect
19. C19×#3224C2semidirect
20. C19×#3220C2semidirect
21. C19×#3203C2semidirect
22. C19×#3198C2semidirect
23. C19×#3188C2semidirect
24. C19×#3186C2semidirect
25. C19×#3124C2semidirect
26. C19×#3119C2semidirect
27. C19×#3012C2semidirect
28. C19×#3008C2semidirect
29. C19×#3002C2semidirect
30. C2×C19×#449C2semidirect
31. C19×#2977C2semidirect
32. C2×C19×H(5,𝔽2)C22semidirect
33. C22×#41×C19C22semidirect
34. C2×C19×AGL(1,ℤ/8)C22semidirect
35. C2×C19×AGL(1,ℤ/8)C22semidirect
36. C2×C19×#135C22semidirect
37. C2×C19×#135C22semidirect
38. C2×C19×#135C22semidirect
39. C22×SD16×C19C22semidirect
40. C22×D8×C19C22semidirect
41. C22×D8×C19C22semidirect
44. C19×#555C22semidirect
45. C19×#553C22semidirect
46. C19×#552C22semidirect
48. C19×#550C22semidirect
49. C19×#550C22semidirect
50. C19×#550C22semidirect
52. C19×#548C22semidirect
53. C19×#547C22semidirect
57. C19×#546C22semidirect
58. C19×#546C22semidirect
59. C19×#546C22semidirect
60. C19×#546C22semidirect
64. D42×C19C22semidirect
65. D42×C19C22semidirect
66. C19×#542C22semidirect
68. C19×#540C22semidirect
71. C19×#537C22semidirect
72. C19×#537C22semidirect
75. C19×#535C22semidirect
76. C19×#535C22semidirect
80. C19×#525C22semidirect
82. C2×C19×#121C22semidirect
83. C2×C19×#121C22semidirect
84. C19×#520C22semidirect
85. C19×#496C22semidirect
86. C19×#496C22semidirect
87. C19×#495C22semidirect
88. C19×#493C22semidirect
89. C19×#490C22semidirect
90. C19×#489C22semidirect
91. C19×#488C22semidirect
92. C19×#486C22semidirect
93. C19×#485C22semidirect
94. C19×#484C22semidirect
95. C19×#484C22semidirect
96. C19×#482C22semidirect
97. C19×#482C22semidirect
98. C19×#482C22semidirect
99. C19×#481C22semidirect
100. C19×#480C22semidirect
101. C19×#480C22semidirect
102. C19×#480C22semidirect
103. C19×#480C22semidirect
104. C19×#480C22semidirect
105. C19×#479C22semidirect
106. C19×#478C22semidirect
107. C19×#477C22semidirect
108. C19×#474C22semidirect
109. C19×#469C22semidirect
110. C19×#468C22semidirect
111. C19×#468C22semidirect
112. C19×#468C22semidirect
113. C19×#467C22semidirect
114. C19×#466C22semidirect
115. C19×#466C22semidirect
116. C19×#466C22semidirect
117. C19×#466C22semidirect
118. C19×#466C22semidirect
119. C19×#466C22semidirect
120. C19×#466C22semidirect
121. C19×#466C22semidirect
122. C19×#465C22semidirect
123. C19×#465C22semidirect
124. C19×#465C22semidirect
125. C19×#464C22semidirect
126. C19×#464C22semidirect
127. C19×#463C22semidirect
128. C19×#463C22semidirect
129. C19×#463C22semidirect
130. C19×#463C22semidirect
131. C19×#460C22semidirect
132. C19×#460C22semidirect
133. C19×#459C22semidirect
134. C19×#459C22semidirect
135. C19×#459C22semidirect
136. C19×#459C22semidirect
137. C19×#452C22semidirect
138. C19×#452C22semidirect
139. C19×#452C22semidirect
140. C19×#452C22semidirect
141. C19×#451C22semidirect
142. C19×#450C22semidirect
143. C19×#450C22semidirect
144. C19×#450C22semidirect
145. C19×#450C22semidirect
147. C19×#449C22semidirect
148. C19×#449C22semidirect
149. C19×#449C22semidirect
150. C19×#449C22semidirect
151. C19×#449C22semidirect
152. C19×#449C22semidirect
153. C19×#449C22semidirect
154. C19×#449C22semidirect
155. C19×#449C22semidirect
156. C19×#449C22semidirect
157. C19×#449C22semidirect
158. C19×#449C22semidirect
159. C19×#449C22semidirect
160. C19×#449C22semidirect
161. C19×#449C22semidirect
162. C19×#448C22semidirect
163. C19×#447C22semidirect
164. C19×#447C22semidirect
165. C19×#447C22semidirect
166. C19×#447C22semidirect
167. C19×#447C22semidirect
168. C19×#447C22semidirect
169. C19×#447C22semidirect
170. C19×#447C22semidirect
171. C19×#447C22semidirect
172. C19×#447C22semidirect
173. C19×#442C22semidirect
174. C19×#440C22semidirect
175. C19×#440C22semidirect
176. C19×#440C22semidirect
177. C4×Q16×C19C22semidirect
178. C4×SD16×C19C22semidirect
179. C4×D8×C19C22semidirect
180. C4×D8×C19C22semidirect
181. C19×#435C22semidirect
182. C19×#435C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C8×D4×C19C22semidirect
186. C8×D4×C19C22semidirect
187. C8×D4×C19C22semidirect
188. C8×D4×C19C22semidirect
189. C19×#433C22semidirect
190. C19×#433C22semidirect
191. C19×#418C22semidirect
192. C19×#417C22semidirect
193. C19×#416C22semidirect
194. C19×#416C22semidirect
195. C19×#416C22semidirect
196. C2×C19×#103C22semidirect
197. C2×C19×#102C22semidirect
198. C2×C19×#102C22semidirect
199. C19×#408C22semidirect
200. C19×#408C22semidirect
201. C2×C19×C22⋊C8C22semidirect
202. C2×C19×C22⋊C8C22semidirect
741. #61639C19direct (N × H)
897. #3542C2×C19semidirect
898. #3488C2×C19semidirect
899. #3319C2×C19semidirect
900. #3310C2×C19semidirect
901. #3309C2×C19semidirect
902. #3308C2×C19semidirect
903. #3305C2×C19semidirect
904. #3300C2×C19semidirect
905. #3297C2×C19semidirect
906. #3294C2×C19semidirect
907. #3287C2×C19semidirect
908. #3282C2×C19semidirect
909. #3280C2×C19semidirect
910. D4×D8C2×C19semidirect
911. #3268C2×C19semidirect
912. #3268C2×C19semidirect
913. #3265C2×C19semidirect
914. #3264C2×C19semidirect
915. #3224C2×C19semidirect
916. #3220C2×C19semidirect
917. #3203C2×C19semidirect
918. #3198C2×C19semidirect
919. #3188C2×C19semidirect
920. #3186C2×C19semidirect
921. #3124C2×C19semidirect
922. #3119C2×C19semidirect
923. #3012C2×C19semidirect
924. #3008C2×C19semidirect
925. #3002C2×C19semidirect
926. C2×#449C2×C19semidirect
927. #2977C2×C19semidirect
992. C2×H(5,𝔽2)C22×C19semidirect
993. C22×#41C22×C19semidirect
994. C2×AGL(1,ℤ/8)C22×C19semidirect
995. C2×AGL(1,ℤ/8)C22×C19semidirect
996. C2×#135C22×C19semidirect
997. C2×#135C22×C19semidirect
998. C2×#135C22×C19semidirect
999. C22×SD16C22×C19semidirect
1000. C22×D8C22×C19semidirect
1001. C22×D8C22×C19semidirect
1004. #555C22×C19semidirect
1005. #553C22×C19semidirect
1006. #552C22×C19semidirect
1008. #550C22×C19semidirect
1009. #550C22×C19semidirect
1010. #550C22×C19semidirect
1012. #548C22×C19semidirect
1013. #547C22×C19semidirect
1017. #546C22×C19semidirect
1018. #546C22×C19semidirect
1019. #546C22×C19semidirect
1020. #546C22×C19semidirect
1024. D42C22×C19semidirect
1025. D42C22×C19semidirect
1026. #542C22×C19semidirect
1028. #540C22×C19semidirect
1031. #537C22×C19semidirect
1032. #537C22×C19semidirect
1035. #535C22×C19semidirect
1036. #535C22×C19semidirect
1040. #525C22×C19semidirect
1042. C2×#121C22×C19semidirect
1043. C2×#121C22×C19semidirect
1044. #520C22×C19semidirect
1045. #496C22×C19semidirect
1046. #496C22×C19semidirect
1047. #495C22×C19semidirect
1048. #493C22×C19semidirect
1049. #490C22×C19semidirect
1050. #489C22×C19semidirect
1051. #488C22×C19semidirect
1052. #486C22×C19semidirect
1053. #485C22×C19semidirect
1054. #484C22×C19semidirect
1055. #484C22×C19semidirect
1056. #482C22×C19semidirect
1057. #482C22×C19semidirect
1058. #482C22×C19semidirect
1059. #481C22×C19semidirect
1060. #480C22×C19semidirect
1061. #480C22×C19semidirect
1062. #480C22×C19semidirect
1063. #480C22×C19semidirect
1064. #480C22×C19semidirect
1065. #479C22×C19semidirect
1066. #478C22×C19semidirect
1067. #477C22×C19semidirect
1068. #474C22×C19semidirect
1069. #469C22×C19semidirect
1070. #468C22×C19semidirect
1071. #468C22×C19semidirect
1072. #468C22×C19semidirect
1073. #467C22×C19semidirect
1074. #466C22×C19semidirect
1075. #466C22×C19semidirect
1076. #466C22×C19semidirect
1077. #466C22×C19semidirect
1078. #466C22×C19semidirect
1079. #466C22×C19semidirect
1080. #466C22×C19semidirect
1081. #466C22×C19semidirect
1082. #465C22×C19semidirect
1083. #465C22×C19semidirect
1084. #465C22×C19semidirect
1085. #464C22×C19semidirect
1086. #464C22×C19semidirect
1087. #463C22×C19semidirect
1088. #463C22×C19semidirect
1089. #463C22×C19semidirect
1090. #463C22×C19semidirect
1091. #460C22×C19semidirect
1092. #460C22×C19semidirect
1093. #459C22×C19semidirect
1094. #459C22×C19semidirect
1095. #459C22×C19semidirect
1096. #459C22×C19semidirect
1097. #452C22×C19semidirect
1098. #452C22×C19semidirect
1099. #452C22×C19semidirect
1100. #452C22×C19semidirect
1101. #451C22×C19semidirect
1102. #450C22×C19semidirect
1103. #450C22×C19semidirect
1104. #450C22×C19semidirect
1105. #450C22×C19semidirect
1107. #449C22×C19semidirect
1108. #449C22×C19semidirect
1109. #449C22×C19semidirect
1110. #449C22×C19semidirect
1111. #449C22×C19semidirect
1112. #449C22×C19semidirect
1113. #449C22×C19semidirect
1114. #449C22×C19semidirect
1115. #449C22×C19semidirect
1116. #449C22×C19semidirect
1117. #449C22×C19semidirect
1118. #449C22×C19semidirect
1119. #449C22×C19semidirect
1120. #449C22×C19semidirect
1121. #449C22×C19semidirect
1122. #448C22×C19semidirect
1123. #447C22×C19semidirect
1124. #447C22×C19semidirect
1125. #447C22×C19semidirect
1126. #447C22×C19semidirect
1127. #447C22×C19semidirect
1128. #447C22×C19semidirect
1129. #447C22×C19semidirect
1130. #447C22×C19semidirect
1131. #447C22×C19semidirect
1132. #447C22×C19semidirect
1133. #442C22×C19semidirect
1134. #440C22×C19semidirect
1135. #440C22×C19semidirect
1136. #440C22×C19semidirect
1137. C4×Q16C22×C19semidirect
1138. C4×SD16C22×C19semidirect
1139. C4×D8C22×C19semidirect
1140. C4×D8C22×C19semidirect
1141. #435C22×C19semidirect
1142. #435C22×C19semidirect
1143. #435C22×C19semidirect
1144. #435C22×C19semidirect
1145. C8×D4C22×C19semidirect
1146. C8×D4C22×C19semidirect
1147. C8×D4C22×C19semidirect
1148. C8×D4C22×C19semidirect
1149. #433C22×C19semidirect
1150. #433C22×C19semidirect
1151. #418C22×C19semidirect
1152. #417C22×C19semidirect
1153. #416C22×C19semidirect
1154. #416C22×C19semidirect
1155. #416C22×C19semidirect
1156. C2×#103C22×C19semidirect
1157. C2×#102C22×C19semidirect
1158. C2×#102C22×C19semidirect
1159. #408C22×C19semidirect
1160. #408C22×C19semidirect
1161. C2×C22⋊C8C22×C19semidirect
1162. C2×C22⋊C8C22×C19semidirect
1465. C19#61639direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35422
C19×#34882
C19×#33192
C19×#33102
C19×#33092
C19×#33082
C19×#33052
C19×#33002
C19×#32972
C19×#32942
C19×#32872
C19×#32822
C19×#32802
D4×D8×C192
C19×#32682
C19×#32652
C19×#32642
C19×#32242
C19×#32202
C19×#32032
C19×#31982
C19×#31882
C19×#31862
C19×#31242
C19×#31192
C19×#30122
C19×#30082
C19×#30022
C2×C19×#4492
C19×#29772
#6163919