Finite Group Databasebeta

← C19×#61614 #18067573

Subgroups — C19×#61614 #18067573

Order 4864.

2120 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×#3542C211yesmaximal, characteristic, complemented
2C19×#3485C211yesmaximal, characteristic, complemented
3C19×#3330C211yesmaximal, characteristic, complemented
4C19×#3323C211yesmaximal, characteristic, complemented
5C19×#3319C211yesmaximal, characteristic, complemented
6C19×#3315C211yesmaximal, characteristic, complemented
7C19×#3307C211yesmaximal, characteristic, complemented
8C19×#3306C211yesmaximal, characteristic, complemented
9C19×#3303C211yesmaximal, characteristic, complemented
10C19×#3297C211yesmaximal, characteristic, complemented
11C19×#3284C211yesmaximal, characteristic, complemented
12C19×#3280C211yesmaximal, characteristic, complemented
13C19×#3273C211yesmaximal, characteristic, complemented
14C19×#3272C211yesmaximal, characteristic, complemented
15C19×#3268C211yesmaximal, characteristic, complemented
16C19×#3267C211yesmaximal, characteristic, complemented
17C19×#3267C211yesmaximal, characteristic, complemented
18C19×#3264C211yesmaximal, characteristic, complemented
19C19×#3225C211yesmaximal, characteristic, complemented
20C19×#3221C211yesmaximal, characteristic, complemented
21C19×#3201C211yesmaximal, characteristic, complemented
22C19×#3200C211yesmaximal, characteristic, complemented
23C19×#3197C211yesmaximal, characteristic, complemented
24C19×#3188C211yesmaximal, characteristic, complemented
25C19×#3122C211yesmaximal, characteristic, complemented
26C19×#3118C211yesmaximal, characteristic, complemented
27C19×#3012C211yesmaximal, characteristic, complemented
28C19×#3008C211yesmaximal, characteristic, complemented
29C19×#3006C211yesmaximal, characteristic, complemented
30C19×#3002C211yesmaximal, characteristic, complemented
31C19×#2976C211yesmaximal, 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×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C19×#135C2211yescharacteristic, complemented
39C2×C19×#135C2211yescharacteristic, complemented
40C2×C19×#135C2211yescharacteristic, 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×#547—21no—
50C19×#547—21no—
51C19×#547C2211yescharacteristic
52C19×#547C2211yescharacteristic, complemented
53C19×#547C2211yescharacteristic, complemented
54C19×#547C2211yescharacteristic, complemented
55C19×#547C2211yescharacteristic, complemented
56C19×#546—21no—
57C19×#546—21no—
58C19×#546—21no—
59C19×#546C2211yescharacteristic
60C19×#546C2211yescharacteristic, complemented
61C19×#546C2211yescharacteristic, complemented
62C19×#546C2211yescharacteristic, complemented
63C19×#546C2211yescharacteristic, complemented
64C19×#546C2211yescharacteristic, complemented
65D42×C19C2211yescharacteristic, complemented
66C19×#542C2211yescharacteristic, complemented
67C19×#540—21no—
68C19×#540C2211yescharacteristic, complemented
69C19×#538—21no—
70C19×#537C2211yescharacteristic
71C19×#536C2211yescharacteristic, complemented
72C19×#536C2211yescharacteristic, complemented
73C19×#535—21no—
74C19×#535C2211yescharacteristic
75C19×#534—21no—
76C19×#534—21no—
77C19×#534—21no—
78C19×#525C2211yescharacteristic
79C19×#525C2211yescharacteristic, complemented
80C19×#525C2211yescharacteristic, complemented
81C2×C19×#123—21no—
82C2×C19×#123—21no—
83C2×C19×#121C2211yescharacteristic, complemented
84C19×#518C2211yescharacteristic, complemented
85C19×#497C2211yescharacteristic, complemented
86C19×#496C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#492C2211yescharacteristic, complemented
89C19×#491C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#487C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#484C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic, complemented
100C19×#482C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#482C2211yescharacteristic, complemented
103C19×#482C2211yescharacteristic, complemented
104C19×#481C2211yescharacteristic, complemented
105C19×#478C2211yescharacteristic, complemented
106C19×#478C2211yescharacteristic, complemented
107C19×#476C2211yescharacteristic, complemented
108C19×#474C2211yescharacteristic, complemented
109C19×#470C2211yescharacteristic, complemented
110C19×#470C2211yescharacteristic, complemented
111C19×#469C2211yescharacteristic, complemented
112C19×#468C2211yescharacteristic, complemented
113C19×#468C2211yescharacteristic, complemented
114C19×#468C2211yescharacteristic, complemented
115C19×#468C2211yescharacteristic, complemented
116C19×#468C2211yescharacteristic, complemented
117C19×#467C2211yescharacteristic, complemented
118C19×#466C2211yescharacteristic, complemented
119C19×#466C2211yescharacteristic, complemented
120C19×#465C2211yescharacteristic, complemented
121C19×#465C2211yescharacteristic, complemented
122C19×#465C2211yescharacteristic, complemented
123C19×#465C2211yescharacteristic, complemented
124C19×#465C2211yescharacteristic, complemented
125C19×#464C2211yescharacteristic, complemented
126C19×#463C2211yescharacteristic, complemented
127C19×#463C2211yescharacteristic, complemented
128C19×#463C2211yescharacteristic, complemented
129C19×#463C2211yescharacteristic, complemented
130C19×#463C2211yescharacteristic, complemented
131C19×#462C2211yescharacteristic, complemented
132C19×#461C2211yescharacteristic, complemented
133C19×#461C2211yescharacteristic, complemented
134C19×#461C2211yescharacteristic, 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×#451C2211yescharacteristic, complemented
145C19×#450C2211yescharacteristic, complemented
146C19×#450C2211yescharacteristic, complemented
147C19×#450C2211yescharacteristic, complemented
148C19×#450C2211yescharacteristic, complemented
149C19×#450C2211yescharacteristic, complemented
150C19×#449C2211yescharacteristic
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×#449C2211yescharacteristic, complemented
163C19×#448C2211yescharacteristic, complemented
164C19×#448C2211yescharacteristic, complemented
165C19×#448C2211yescharacteristic, complemented
166C19×#447C2211yescharacteristic
167C19×#447C2211yescharacteristic, complemented
168C19×#447C2211yescharacteristic, complemented
169C19×#447C2211yescharacteristic, complemented
170C19×#447C2211yescharacteristic, complemented
171C19×#447C2211yescharacteristic, complemented
172C19×#447C2211yescharacteristic, complemented
173C19×#442C2211yescharacteristic, complemented
174C19×#442C2211yescharacteristic, complemented
175C19×#442C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×SD16×C19C2211yescharacteristic, complemented
178C4×D8×C19C2211yescharacteristic, complemented
179C4×D8×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×#418C2211yescharacteristic, complemented
192C19×#417C2211yescharacteristic, complemented
193C19×#417C2211yescharacteristic, complemented
194C19×#417C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic, complemented
196C19×#416C2211yescharacteristic, complemented
197C19×#416C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic, 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—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
220C2×#41×C19C2311yescharacteristic
221C22×Q8×C19C2311yescharacteristic
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×AGL(1,ℤ/8)—42no—
236C19×AGL(1,ℤ/8)—42no—
237C19×AGL(1,ℤ/8)—42no—
238C19×AGL(1,ℤ/8)—42no—
239C19×#135—42no—
240C19×#135—42no—
241C19×#135—42no—
242C2×Q16×C19C2311yescharacteristic
243C2×Q16×C19C2311yescharacteristic
244C2×Q16×C19C2311yescharacteristic
245C2×SD16×C19C2311yescharacteristic
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×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×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×C4⋊Q8C2311yescharacteristic
279C19×#127—21no—
280C19×#127—21no—
281C19×#127C2311yescharacteristic
282C19×#126—21no—
283C19×#126—21no—
284C19×#126—21no—
285C19×#125—21no—
286C19×#125C2311yescharacteristic
287C19×#124—21no—
288C19×#124—21no—
289C19×#124—21no—
290C19×#124—21no—
291C19×#124—21no—
292C19×#124C2311yescharacteristic
293C19×#124C2311yescharacteristic
294C19×#124C2311yescharacteristic
295C19×#123—21no—
296C19×#123—21no—
297C19×#123—21no—
298C19×#123—21no—
299C19×#123—21no—
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123—21no—
313C19×#123—21no—
314C19×#123—21no—
315C19×#123—21no—
316C19×#123—21no—
317C19×#123—21no—
318C19×#123—21no—
319C19×#123—21no—
320C19×#123—21no—
321C19×#123—21no—
322C19×#123D411yescharacteristic
323C19×#123D411yescharacteristic
324C19×C22⋊Q8—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊Q8—21no—
327C19×C22⋊Q8—21no—
328C19×C22⋊Q8—21no—
329C19×C22⋊Q8D411yescharacteristic
330C19×C22⋊Q8D411yescharacteristic
331C19×C22⋊Q8C2311yescharacteristic
332C19×C22⋊Q8C2311yescharacteristic
333C19×C22⋊Q8C2311yescharacteristic
334C19×C22⋊Q8C2311yescharacteristic
335C19×C22⋊Q8C2311yescharacteristic
336C19×C22⋊Q8C2311yescharacteristic
337C19×C22⋊Q8C2311yescharacteristic
338C19×C22⋊Q8C2311yescharacteristic
339C19×C22⋊Q8C2311yescharacteristic
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×#121—21no—
360C19×#121—21no—
361C19×#121—21no—
362C19×#121D411yescharacteristic
363C19×#121D411yescharacteristic
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×#120D411yescharacteristic
388C19×#120D411yescharacteristic
389C4×Q8×C19C2311yescharacteristic
390C4×D4×C19—21no—
391C4×D4×C19—21no—
392C4×D4×C19—21no—
393C4×D4×C19—21no—
394C4×D4×C19—21no—
395C4×D4×C19—21no—
396C4×D4×C19—21no—
397C4×D4×C19—21no—
398C4×D4×C19C2311yescharacteristic
399C4×D4×C19C2311yescharacteristic
400C4×D4×C19C2311yescharacteristic
401C4×D4×C19C2311yescharacteristic
402C4×D4×C19C2311yescharacteristic
403C4×D4×C19C2311yescharacteristic
404C4×D4×C19C2311yescharacteristic
405C4×D4×C19C2311yescharacteristic
406C4×D4×C19C2311yescharacteristic
407C4×D4×C19C2311yescharacteristic
408C4×D4×C19C2311yescharacteristic
409C19×#117—21no—
410C19×#117—21no—
411C19×#117C2311yescharacteristic
412C19×#117C2311yescharacteristic
413C19×#117C2311yescharacteristic
414C19×#117C2311yescharacteristic
415C2×C4⋊C4×C19—21no—
416C2×C4⋊C4×C19—21no—
417C2×C4⋊C4×C19—21no—
418C2×C4⋊C4×C19—21no—
419C2×C4⋊C4×C19C2311yescharacteristic
420C2×C4⋊C4×C19C2311yescharacteristic
421C2×C22⋊C4×C19—21no—
422C2×C22⋊C4×C19—21no—
423C2×C22⋊C4×C19—21no—
424C2×C22⋊C4×C19—21no—
425C2×C22⋊C4×C19—21no—
426C2×C22⋊C4×C19—21no—
427C2×C22⋊C4×C19—21no—
428C2×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×#103C2311yescharacteristic
455C19×#103C2311yescharacteristic
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—41no—
511#41×C19—41no—
512#41×C19—41no—
513#41×C19—41no—
514#41×C19—41no—
515#41×C19—41no—
516#41×C19—44no—
517#41×C19—44no—
518#41×C19—44no—
519#41×C19—82no—
520C2×Q8×C19—21no—
521C2×Q8×C19—21no—
522C2×Q8×C19—41no—
523C2×Q8×C19—41no—
524C2×Q8×C19C2×D411yescharacteristic
525C2×Q8×C19C2411yescharacteristic
526C2×Q8×C19C2411yescharacteristic
527C2×Q8×C19C2411yescharacteristic
528C2×Q8×C19C2411yescharacteristic
529C2×D4×C19—22no—
530C2×D4×C19—22no—
531C2×D4×C19—22no—
532C2×D4×C19—22no—
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—41no—
561C2×D4×C19—41no—
562C2×D4×C19—41no—
563C2×D4×C19—41no—
564C2×D4×C19—41no—
565C2×D4×C19—41no—
566C2×D4×C19—44no—
567C2×D4×C19—44no—
568C2×D4×C19—44no—
569C2×D4×C19—44no—
570C2×D4×C19—82no—
571C2×D4×C19—82no—
572C2×D4×C19C2×D411yescharacteristic
573C2×D4×C19C2×D411yescharacteristic
574C2×D4×C19C2×D411yescharacteristic
575C2×D4×C19C2×D411yescharacteristic
576C2×D4×C19C2×D411yescharacteristic
577C2×D4×C19C2×D411yescharacteristic
578C2×D4×C19C2×D411yescharacteristic
579C2×D4×C19C2411yescharacteristic
580C2×D4×C19C2411yescharacteristic
581C2×D4×C19C2411yescharacteristic
582C2×D4×C19C2411yescharacteristic
583C2×D4×C19C2411yescharacteristic
584C2×D4×C19C2411yescharacteristic
585C22×C4×C19—21no—
586C22×C4×C19—21no—
587C22×C4×C19—21no—
588C22×C4×C19—21no—
589C22×C4×C19—21no—
590C22×C4×C19—21no—
591C22×C4×C19—21no—
592C22×C4×C19—21no—
593C22×C4×C19—21no—
594C22×C4×C19—21no—
595C22×C4×C19—21no—
596C22×C4×C19—21no—
597C22×C4×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—41no—
616Q16×C19—41no—
617Q16×C19—41no—
618SD16×C19—22no—
619SD16×C19—22no—
620SD16×C19—41no—
621SD16×C19—41no—
622SD16×C19—41no—
623SD16×C19—41no—
624SD16×C19—41no—
625SD16×C19—41no—
626SD16×C19—41no—
627SD16×C19—41no—
628SD16×C19—41no—
629SD16×C19—41no—
630D8×C19—22no—
631D8×C19—22no—
632D8×C19—22no—
633D8×C19—22no—
634D8×C19—22no—
635D8×C19—22no—
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×C19—21no—
671C4⋊C4×C19—21no—
672C4⋊C4×C19—21no—
673C4⋊C4×C19—21no—
674C4⋊C4×C19C2×D411yescharacteristic
675C4⋊C4×C19C2×D411yescharacteristic
676C4⋊C4×C19C2×D411yescharacteristic
677C4⋊C4×C19C2×D411yescharacteristic
678C4⋊C4×C19C2×D411yescharacteristic
679C4⋊C4×C19C2×D411yescharacteristic
680C4⋊C4×C19C2411yescharacteristic
681C4⋊C4×C19C2411yescharacteristic
682C4⋊C4×C19C2411yescharacteristic
683C4⋊C4×C19C2411yescharacteristic
684C4⋊C4×C19C2411yescharacteristic
685C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
719C22⋊C4×C19—21no—
720C22⋊C4×C19—21no—
721C22⋊C4×C19—21no—
722C22⋊C4×C19C2×D411yescharacteristic
723C22⋊C4×C19C2×D411yescharacteristic
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
732C42×C19—21no—
733C42×C19—21no—
734C42×C19—21no—
735C42×C19—21no—
736C42×C19C2411yescharacteristic
737C42×C19C2411yescharacteristic
738#61614C1911yesmaximal, characteristic, direct product factor, Sylow
739C23×C19—24no—
740C23×C19—21no—
741C23×C19—21no—
742C23×C19—21no—
743C23×C19—21no—
744C23×C19—21no—
745C23×C19—21no—
746C23×C19—41no—
747C23×C19—41no—
748C23×C19—41no—
749C23×C19—42no—
750C23×C19—42no—
751C23×C19—42no—
752C23×C19—81no—
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—21no—
776Q8×C19—41no—
777Q8×C19—42no—
778Q8×C19—81no—
779D4×C19—24no—
780D4×C19—21no—
781D4×C19—21no—
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—41no—
791D4×C19—41no—
792D4×C19—41no—
793D4×C19—41no—
794D4×C19—41no—
795D4×C19—41no—
796D4×C19—41no—
797D4×C19—42no—
798D4×C19—42no—
799D4×C19—42no—
800D4×C19—42no—
801D4×C19—42no—
802D4×C19—42no—
803D4×C19—42no—
804D4×C19—42no—
805D4×C19—42no—
806D4×C19—42no—
807D4×C19—81no—
808D4×C19—81no—
809D4×C19—81no—
810D4×C19—81no—
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×C19H(5,𝔽2)12yes—
824D4×C19H(5,𝔽2)12yes—
825C2×C4×C19—21no—
826C2×C4×C19—21no—
827C2×C4×C19—21no—
828C2×C4×C19—21no—
829C2×C4×C19—21no—
830C2×C4×C19—21no—
831C2×C4×C19—21no—
832C2×C4×C19—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—41no—
846C2×C4×C19—41no—
847C2×C4×C19—41no—
848C2×C4×C19—42no—
849C2×C4×C19—42no—
850C2×C4×C19—42no—
851C2×C4×C19—42no—
852C2×C4×C19—42no—
853C2×C4×C19—42no—
854C2×C4×C19—42no—
855C2×C4×C19—42no—
856C2×C4×C19—42no—
857C2×C4×C19—81no—
858C2×C4×C19—81no—
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#3542C2×C1911yescharacteristic, complemented
886#3485C2×C1911yescharacteristic, complemented
887#3330C2×C1911yescharacteristic, complemented
888#3323C2×C1911yescharacteristic, complemented
889#3319C2×C1911yescharacteristic, complemented
890#3315C2×C1911yescharacteristic, complemented
891#3307C2×C1911yescharacteristic, complemented
892#3306C2×C1911yescharacteristic, complemented
893#3303C2×C1911yescharacteristic, complemented
894#3297C2×C1911yescharacteristic, complemented
895#3284C2×C1911yescharacteristic, complemented
896#3280C2×C1911yescharacteristic, complemented
897#3273C2×C1911yescharacteristic, complemented
898#3272C2×C1911yescharacteristic, complemented
899#3268C2×C1911yescharacteristic, complemented
900#3267C2×C1911yescharacteristic, complemented
901#3267C2×C1911yescharacteristic, complemented
902#3264C2×C1911yescharacteristic, complemented
903#3225C2×C1911yescharacteristic, complemented
904#3221C2×C1911yescharacteristic, complemented
905#3201C2×C1911yescharacteristic, complemented
906#3200C2×C1911yescharacteristic, complemented
907#3197C2×C1911yescharacteristic, complemented
908#3188C2×C1911yescharacteristic, complemented
909#3122C2×C1911yescharacteristic, complemented
910#3118C2×C1911yescharacteristic, complemented
911#3012C2×C1911yescharacteristic, complemented
912#3008C2×C1911yescharacteristic, complemented
913#3006C2×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—21no—
929C22×C19—21no—
930C22×C19—21no—
931C22×C19—22no—
932C22×C19—22no—
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—84no—
950C22×C19—82no—
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—21no—
962C4×C19—21no—
963C4×C19—21no—
964C4×C19—21no—
965C4×C19—41no—
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, complemented
978C22×#41C22×C1911yescharacteristic, complemented
979C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
980C2×AGL(1,ℤ/8)C22×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
985C2×#135C22×C1911yescharacteristic, complemented
986C22×D8C22×C1911yescharacteristic, complemented
987#562—21no—
988#560—21no—
989#555C22×C1911yescharacteristic, complemented
990#553C22×C1911yescharacteristic, complemented
991#552C22×C1911yescharacteristic, complemented
992#551—21no—
993#550C22×C1911yescharacteristic, complemented
994#547—21no—
995#547—21no—
996#547C22×C1911yescharacteristic
997#547C22×C1911yescharacteristic, complemented
998#547C22×C1911yescharacteristic, complemented
999#547C22×C1911yescharacteristic, complemented
1000#547C22×C1911yescharacteristic, complemented
1001#546—21no—
1002#546—21no—
1003#546—21no—
1004#546C22×C1911yescharacteristic
1005#546C22×C1911yescharacteristic, complemented
1006#546C22×C1911yescharacteristic, complemented
1007#546C22×C1911yescharacteristic, complemented
1008#546C22×C1911yescharacteristic, complemented
1009#546C22×C1911yescharacteristic, complemented
1010D42C22×C1911yescharacteristic, complemented
1011#542C22×C1911yescharacteristic, complemented
1012#540—21no—
1013#540C22×C1911yescharacteristic, complemented
1014#538—21no—
1015#537C22×C1911yescharacteristic
1016#536C22×C1911yescharacteristic, complemented
1017#536C22×C1911yescharacteristic, complemented
1018#535—21no—
1019#535C22×C1911yescharacteristic
1020#534—21no—
1021#534—21no—
1022#534—21no—
1023#525C22×C1911yescharacteristic
1024#525C22×C1911yescharacteristic, complemented
1025#525C22×C1911yescharacteristic, complemented
1026C2×#123—21no—
1027C2×#123—21no—
1028C2×#121C22×C1911yescharacteristic, complemented
1029#518C22×C1911yescharacteristic, complemented
1030#497C22×C1911yescharacteristic, complemented
1031#496C22×C1911yescharacteristic, complemented
1032#495C22×C1911yescharacteristic, complemented
1033#492C22×C1911yescharacteristic, complemented
1034#491C22×C1911yescharacteristic, complemented
1035#489C22×C1911yescharacteristic, complemented
1036#488C22×C1911yescharacteristic, complemented
1037#487C22×C1911yescharacteristic, complemented
1038#485C22×C1911yescharacteristic, complemented
1039#485C22×C1911yescharacteristic, complemented
1040#485C22×C1911yescharacteristic, complemented
1041#485C22×C1911yescharacteristic, complemented
1042#484C22×C1911yescharacteristic, complemented
1043#484C22×C1911yescharacteristic, complemented
1044#483C22×C1911yescharacteristic, complemented
1045#482C22×C1911yescharacteristic, complemented
1046#482C22×C1911yescharacteristic, complemented
1047#482C22×C1911yescharacteristic, complemented
1048#482C22×C1911yescharacteristic, complemented
1049#481C22×C1911yescharacteristic, complemented
1050#478C22×C1911yescharacteristic, complemented
1051#478C22×C1911yescharacteristic, complemented
1052#476C22×C1911yescharacteristic, complemented
1053#474C22×C1911yescharacteristic, complemented
1054#470C22×C1911yescharacteristic, complemented
1055#470C22×C1911yescharacteristic, complemented
1056#469C22×C1911yescharacteristic, complemented
1057#468C22×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#465C22×C1911yescharacteristic, complemented
1066#465C22×C1911yescharacteristic, complemented
1067#465C22×C1911yescharacteristic, complemented
1068#465C22×C1911yescharacteristic, complemented
1069#465C22×C1911yescharacteristic, complemented
1070#464C22×C1911yescharacteristic, complemented
1071#463C22×C1911yescharacteristic, complemented
1072#463C22×C1911yescharacteristic, complemented
1073#463C22×C1911yescharacteristic, complemented
1074#463C22×C1911yescharacteristic, complemented
1075#463C22×C1911yescharacteristic, complemented
1076#462C22×C1911yescharacteristic, complemented
1077#461C22×C1911yescharacteristic, complemented
1078#461C22×C1911yescharacteristic, complemented
1079#461C22×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#451C22×C1911yescharacteristic, complemented
1090#450C22×C1911yescharacteristic, complemented
1091#450C22×C1911yescharacteristic, complemented
1092#450C22×C1911yescharacteristic, complemented
1093#450C22×C1911yescharacteristic, complemented
1094#450C22×C1911yescharacteristic, complemented
1095#449C22×C1911yescharacteristic
1096#449C22×C1911yescharacteristic, complemented
1097#449C22×C1911yescharacteristic, complemented
1098#449C22×C1911yescharacteristic, complemented
1099#449C22×C1911yescharacteristic, complemented
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#448C22×C1911yescharacteristic, complemented
1109#448C22×C1911yescharacteristic, complemented
1110#448C22×C1911yescharacteristic, complemented
1111#447C22×C1911yescharacteristic
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#442C22×C1911yescharacteristic, complemented
1120#442C22×C1911yescharacteristic, complemented
1121#440C22×C1911yescharacteristic, complemented
1122C4×SD16C22×C1911yescharacteristic, complemented
1123C4×D8C22×C1911yescharacteristic, complemented
1124C4×D8C22×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#418C22×C1911yescharacteristic, complemented
1137#417C22×C1911yescharacteristic, complemented
1138#417C22×C1911yescharacteristic, complemented
1139#417C22×C1911yescharacteristic, complemented
1140#416C22×C1911yescharacteristic, complemented
1141#416C22×C1911yescharacteristic, complemented
1142#416C22×C1911yescharacteristic, complemented
1143C2×#102C22×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—42no—
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—21no—
1168C2×#41—42no—
1169C2×#41—42no—
1170C2×#41C23×C1911yescharacteristic
1171C2×#41C23×C1911yescharacteristic
1172C2×#41C23×C1911yescharacteristic
1173C2×#41C23×C1911yescharacteristic
1174C2×#41C23×C1911yescharacteristic
1175C2×#41C23×C1911yescharacteristic
1176C2×#41C23×C1911yescharacteristic
1177C2×#41C23×C1911yescharacteristic
1178C2×#41C23×C1911yescharacteristic
1179C2×#41C23×C1911yescharacteristic
1180C22×Q8C23×C1911yescharacteristic
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
1194AGL(1,ℤ/8)—42no—
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—42no—
1198#135—42no—
1199#135—42no—
1200#135—42no—
1201C2×Q16C23×C1911yescharacteristic
1202C2×Q16C23×C1911yescharacteristic
1203C2×Q16C23×C1911yescharacteristic
1204C2×SD16C23×C1911yescharacteristic
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×D8—42no—
1217C2×D8C23×C1911yescharacteristic
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
1237C4⋊Q8C23×C1911yescharacteristic
1238#127—21no—
1239#127—21no—
1240#127C23×C1911yescharacteristic
1241#126—21no—
1242#126—21no—
1243#126—21no—
1244#125—21no—
1245#125C23×C1911yescharacteristic
1246#124—21no—
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124C23×C1911yescharacteristic
1252#124C23×C1911yescharacteristic
1253#124C23×C1911yescharacteristic
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
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#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123D4×C1911yescharacteristic
1282#123D4×C1911yescharacteristic
1283C22⋊Q8—21no—
1284C22⋊Q8—21no—
1285C22⋊Q8—21no—
1286C22⋊Q8—21no—
1287C22⋊Q8—21no—
1288C22⋊Q8D4×C1911yescharacteristic
1289C22⋊Q8D4×C1911yescharacteristic
1290C22⋊Q8C23×C1911yescharacteristic
1291C22⋊Q8C23×C1911yescharacteristic
1292C22⋊Q8C23×C1911yescharacteristic
1293C22⋊Q8C23×C1911yescharacteristic
1294C22⋊Q8C23×C1911yescharacteristic
1295C22⋊Q8C23×C1911yescharacteristic
1296C22⋊Q8C23×C1911yescharacteristic
1297C22⋊Q8C23×C1911yescharacteristic
1298C22⋊Q8C23×C1911yescharacteristic
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#121—21no—
1319#121—21no—
1320#121—21no—
1321#121D4×C1911yescharacteristic
1322#121D4×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#121C23×C1911yescharacteristic
1333#121C23×C1911yescharacteristic
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×Q8C23×C1911yescharacteristic
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4C23×C1911yescharacteristic
1358C4×D4C23×C1911yescharacteristic
1359C4×D4C23×C1911yescharacteristic
1360C4×D4C23×C1911yescharacteristic
1361C4×D4C23×C1911yescharacteristic
1362C4×D4C23×C1911yescharacteristic
1363C4×D4C23×C1911yescharacteristic
1364C4×D4C23×C1911yescharacteristic
1365C4×D4C23×C1911yescharacteristic
1366C4×D4C23×C1911yescharacteristic
1367C4×D4C23×C1911yescharacteristic
1368#117—21no—
1369#117—21no—
1370#117C23×C1911yescharacteristic
1371#117C23×C1911yescharacteristic
1372#117C23×C1911yescharacteristic
1373#117C23×C1911yescharacteristic
1374C2×C4⋊C4—21no—
1375C2×C4⋊C4—21no—
1376C2×C4⋊C4—21no—
1377C2×C4⋊C4—21no—
1378C2×C4⋊C4C23×C1911yescharacteristic
1379C2×C4⋊C4C23×C1911yescharacteristic
1380C2×C22⋊C4—21no—
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
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#103C23×C1911yescharacteristic
1414#103C23×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#6161411yescharacteristic, 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—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—44no—
1477#41—44no—
1478#41—44no—
1479#41—82no—
1480C2×Q8—21no—
1481C2×Q8—21no—
1482C2×Q8—41no—
1483C2×Q8—41no—
1484C2×Q8C2×D4×C1911yescharacteristic
1485C2×Q8C24×C1911yescharacteristic
1486C2×Q8C24×C1911yescharacteristic
1487C2×Q8C24×C1911yescharacteristic
1488C2×Q8C24×C1911yescharacteristic
1489C2×D4—22no—
1490C2×D4—22no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—21no—
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—41no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—41no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—44no—
1527C2×D4—44no—
1528C2×D4—44no—
1529C2×D4—44no—
1530C2×D4—82no—
1531C2×D4—82no—
1532C2×D4C2×D4×C1911yescharacteristic
1533C2×D4C2×D4×C1911yescharacteristic
1534C2×D4C2×D4×C1911yescharacteristic
1535C2×D4C2×D4×C1911yescharacteristic
1536C2×D4C2×D4×C1911yescharacteristic
1537C2×D4C2×D4×C1911yescharacteristic
1538C2×D4C2×D4×C1911yescharacteristic
1539C2×D4C24×C1911yescharacteristic
1540C2×D4C24×C1911yescharacteristic
1541C2×D4C24×C1911yescharacteristic
1542C2×D4C24×C1911yescharacteristic
1543C2×D4C24×C1911yescharacteristic
1544C2×D4C24×C1911yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—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—41no—
1576Q16—41no—
1577Q16—41no—
1578SD16—22no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590D8—22no—
1591D8—22no—
1592D8—22no—
1593D8—22no—
1594D8—22no—
1595D8—22no—
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⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4C2×D4×C1911yescharacteristic
1635C4⋊C4C2×D4×C1911yescharacteristic
1636C4⋊C4C2×D4×C1911yescharacteristic
1637C4⋊C4C2×D4×C1911yescharacteristic
1638C4⋊C4C2×D4×C1911yescharacteristic
1639C4⋊C4C2×D4×C1911yescharacteristic
1640C4⋊C4C24×C1911yescharacteristic
1641C4⋊C4C24×C1911yescharacteristic
1642C4⋊C4C24×C1911yescharacteristic
1643C4⋊C4C24×C1911yescharacteristic
1644C4⋊C4C24×C1911yescharacteristic
1645C4⋊C4C24×C1911yescharacteristic
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⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4C2×D4×C1911yescharacteristic
1683C22⋊C4C2×D4×C1911yescharacteristic
1684C22⋊C4C2×D4×C1911yescharacteristic
1685C22⋊C4C2×D4×C1911yescharacteristic
1686C22⋊C4C2×D4×C1911yescharacteristic
1687C22⋊C4C2×D4×C1911yescharacteristic
1688C22⋊C4C2×D4×C1911yescharacteristic
1689C22⋊C4C2×D4×C1911yescharacteristic
1690C22⋊C4C2×D4×C1911yescharacteristic
1691C22⋊C4C2×D4×C1911yescharacteristic
1692C42—21no—
1693C42—21no—
1694C42—21no—
1695C42—21no—
1696C42C24×C1911yescharacteristic
1697C42C24×C1911yescharacteristic
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—42no—
1709C23—42no—
1710C23—42no—
1711C23—81no—
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—21no—
1735Q8—41no—
1736Q8—42no—
1737Q8—81no—
1738D4—24no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—41no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—42no—
1762D4—42no—
1763D4—42no—
1764D4—42no—
1765D4—42no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4C19×H(5,𝔽2)12yes—
1783D4C19×H(5,𝔽2)12yes—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
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—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—81no—
1817C2×C4—81no—
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—21no—
1847C22—21no—
1848C22—21no—
1849C22—22no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
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—84no—
1878C22—82no—
1879C22—162no—
1880C22—162no—
1881C22—162no—
1882C22—162no—
1883C22C23×D4×C1911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
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—42no—
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×#3542C2semidirect
2. C19×#3485C2semidirect
3. C19×#3330C2semidirect
4. C19×#3323C2semidirect
5. C19×#3319C2semidirect
6. C19×#3315C2semidirect
7. C19×#3307C2semidirect
8. C19×#3306C2semidirect
9. C19×#3303C2semidirect
10. C19×#3297C2semidirect
11. C19×#3284C2semidirect
12. C19×#3280C2semidirect
13. C19×#3273C2semidirect
14. C19×#3272C2semidirect
15. C19×#3268C2semidirect
16. C19×#3267C2semidirect
17. C19×#3267C2semidirect
18. C19×#3264C2semidirect
19. C19×#3225C2semidirect
20. C19×#3221C2semidirect
21. C19×#3201C2semidirect
22. C19×#3200C2semidirect
23. C19×#3197C2semidirect
24. C19×#3188C2semidirect
25. C19×#3122C2semidirect
26. C19×#3118C2semidirect
27. C19×#3012C2semidirect
28. C19×#3008C2semidirect
29. C19×#3006C2semidirect
30. C19×#3002C2semidirect
31. C19×#2976C2semidirect
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×AGL(1,ℤ/8)C22semidirect
37. C2×C19×AGL(1,ℤ/8)C22semidirect
38. C2×C19×#135C22semidirect
39. C2×C19×#135C22semidirect
40. C2×C19×#135C22semidirect
41. C22×D8×C19C22semidirect
44. C19×#555C22semidirect
45. C19×#553C22semidirect
46. C19×#552C22semidirect
48. C19×#550C22semidirect
52. C19×#547C22semidirect
53. C19×#547C22semidirect
54. C19×#547C22semidirect
55. C19×#547C22semidirect
60. C19×#546C22semidirect
61. C19×#546C22semidirect
62. C19×#546C22semidirect
63. C19×#546C22semidirect
64. C19×#546C22semidirect
65. D42×C19C22semidirect
66. C19×#542C22semidirect
68. C19×#540C22semidirect
71. C19×#536C22semidirect
72. C19×#536C22semidirect
79. C19×#525C22semidirect
80. C19×#525C22semidirect
83. C2×C19×#121C22semidirect
84. C19×#518C22semidirect
85. C19×#497C22semidirect
86. C19×#496C22semidirect
87. C19×#495C22semidirect
88. C19×#492C22semidirect
89. C19×#491C22semidirect
90. C19×#489C22semidirect
91. C19×#488C22semidirect
92. C19×#487C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#484C22semidirect
98. C19×#484C22semidirect
99. C19×#483C22semidirect
100. C19×#482C22semidirect
101. C19×#482C22semidirect
102. C19×#482C22semidirect
103. C19×#482C22semidirect
104. C19×#481C22semidirect
105. C19×#478C22semidirect
106. C19×#478C22semidirect
107. C19×#476C22semidirect
108. C19×#474C22semidirect
109. C19×#470C22semidirect
110. C19×#470C22semidirect
111. C19×#469C22semidirect
112. C19×#468C22semidirect
113. C19×#468C22semidirect
114. C19×#468C22semidirect
115. C19×#468C22semidirect
116. C19×#468C22semidirect
117. C19×#467C22semidirect
118. C19×#466C22semidirect
119. C19×#466C22semidirect
120. C19×#465C22semidirect
121. C19×#465C22semidirect
122. C19×#465C22semidirect
123. C19×#465C22semidirect
124. C19×#465C22semidirect
125. C19×#464C22semidirect
126. C19×#463C22semidirect
127. C19×#463C22semidirect
128. C19×#463C22semidirect
129. C19×#463C22semidirect
130. C19×#463C22semidirect
131. C19×#462C22semidirect
132. C19×#461C22semidirect
133. C19×#461C22semidirect
134. C19×#461C22semidirect
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×#451C22semidirect
145. C19×#450C22semidirect
146. C19×#450C22semidirect
147. C19×#450C22semidirect
148. C19×#450C22semidirect
149. C19×#450C22semidirect
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×#449C22semidirect
163. C19×#448C22semidirect
164. C19×#448C22semidirect
165. 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×#442C22semidirect
175. C19×#442C22semidirect
176. C19×#440C22semidirect
177. C4×SD16×C19C22semidirect
178. C4×D8×C19C22semidirect
179. C4×D8×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×#418C22semidirect
192. C19×#417C22semidirect
193. C19×#417C22semidirect
194. C19×#417C22semidirect
195. C19×#416C22semidirect
196. C19×#416C22semidirect
197. C19×#416C22semidirect
198. C2×C19×#102C22semidirect
199. C19×#408C22semidirect
200. C19×#408C22semidirect
201. C19×#407C22semidirect
202. C2×C19×C22⋊C8C22semidirect
738. #61614C19direct (N × H)
885. #3542C2×C19semidirect
886. #3485C2×C19semidirect
887. #3330C2×C19semidirect
888. #3323C2×C19semidirect
889. #3319C2×C19semidirect
890. #3315C2×C19semidirect
891. #3307C2×C19semidirect
892. #3306C2×C19semidirect
893. #3303C2×C19semidirect
894. #3297C2×C19semidirect
895. #3284C2×C19semidirect
896. #3280C2×C19semidirect
897. #3273C2×C19semidirect
898. #3272C2×C19semidirect
899. #3268C2×C19semidirect
900. #3267C2×C19semidirect
901. #3267C2×C19semidirect
902. #3264C2×C19semidirect
903. #3225C2×C19semidirect
904. #3221C2×C19semidirect
905. #3201C2×C19semidirect
906. #3200C2×C19semidirect
907. #3197C2×C19semidirect
908. #3188C2×C19semidirect
909. #3122C2×C19semidirect
910. #3118C2×C19semidirect
911. #3012C2×C19semidirect
912. #3008C2×C19semidirect
913. #3006C2×C19semidirect
914. #3002C2×C19semidirect
915. #2976C2×C19semidirect
977. C2×H(5,𝔽2)C22×C19semidirect
978. C22×#41C22×C19semidirect
979. C2×AGL(1,ℤ/8)C22×C19semidirect
980. C2×AGL(1,ℤ/8)C22×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. C2×#135C22×C19semidirect
986. C22×D8C22×C19semidirect
989. #555C22×C19semidirect
990. #553C22×C19semidirect
991. #552C22×C19semidirect
993. #550C22×C19semidirect
997. #547C22×C19semidirect
998. #547C22×C19semidirect
999. #547C22×C19semidirect
1000. #547C22×C19semidirect
1005. #546C22×C19semidirect
1006. #546C22×C19semidirect
1007. #546C22×C19semidirect
1008. #546C22×C19semidirect
1009. #546C22×C19semidirect
1010. D42C22×C19semidirect
1011. #542C22×C19semidirect
1013. #540C22×C19semidirect
1016. #536C22×C19semidirect
1017. #536C22×C19semidirect
1024. #525C22×C19semidirect
1025. #525C22×C19semidirect
1028. C2×#121C22×C19semidirect
1029. #518C22×C19semidirect
1030. #497C22×C19semidirect
1031. #496C22×C19semidirect
1032. #495C22×C19semidirect
1033. #492C22×C19semidirect
1034. #491C22×C19semidirect
1035. #489C22×C19semidirect
1036. #488C22×C19semidirect
1037. #487C22×C19semidirect
1038. #485C22×C19semidirect
1039. #485C22×C19semidirect
1040. #485C22×C19semidirect
1041. #485C22×C19semidirect
1042. #484C22×C19semidirect
1043. #484C22×C19semidirect
1044. #483C22×C19semidirect
1045. #482C22×C19semidirect
1046. #482C22×C19semidirect
1047. #482C22×C19semidirect
1048. #482C22×C19semidirect
1049. #481C22×C19semidirect
1050. #478C22×C19semidirect
1051. #478C22×C19semidirect
1052. #476C22×C19semidirect
1053. #474C22×C19semidirect
1054. #470C22×C19semidirect
1055. #470C22×C19semidirect
1056. #469C22×C19semidirect
1057. #468C22×C19semidirect
1058. #468C22×C19semidirect
1059. #468C22×C19semidirect
1060. #468C22×C19semidirect
1061. #468C22×C19semidirect
1062. #467C22×C19semidirect
1063. #466C22×C19semidirect
1064. #466C22×C19semidirect
1065. #465C22×C19semidirect
1066. #465C22×C19semidirect
1067. #465C22×C19semidirect
1068. #465C22×C19semidirect
1069. #465C22×C19semidirect
1070. #464C22×C19semidirect
1071. #463C22×C19semidirect
1072. #463C22×C19semidirect
1073. #463C22×C19semidirect
1074. #463C22×C19semidirect
1075. #463C22×C19semidirect
1076. #462C22×C19semidirect
1077. #461C22×C19semidirect
1078. #461C22×C19semidirect
1079. #461C22×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. #451C22×C19semidirect
1090. #450C22×C19semidirect
1091. #450C22×C19semidirect
1092. #450C22×C19semidirect
1093. #450C22×C19semidirect
1094. #450C22×C19semidirect
1096. #449C22×C19semidirect
1097. #449C22×C19semidirect
1098. #449C22×C19semidirect
1099. #449C22×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. #448C22×C19semidirect
1109. #448C22×C19semidirect
1110. #448C22×C19semidirect
1112. #447C22×C19semidirect
1113. #447C22×C19semidirect
1114. #447C22×C19semidirect
1115. #447C22×C19semidirect
1116. #447C22×C19semidirect
1117. #447C22×C19semidirect
1118. #442C22×C19semidirect
1119. #442C22×C19semidirect
1120. #442C22×C19semidirect
1121. #440C22×C19semidirect
1122. C4×SD16C22×C19semidirect
1123. C4×D8C22×C19semidirect
1124. C4×D8C22×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. #418C22×C19semidirect
1137. #417C22×C19semidirect
1138. #417C22×C19semidirect
1139. #417C22×C19semidirect
1140. #416C22×C19semidirect
1141. #416C22×C19semidirect
1142. #416C22×C19semidirect
1143. C2×#102C22×C19semidirect
1144. #408C22×C19semidirect
1145. #408C22×C19semidirect
1146. #407C22×C19semidirect
1147. C2×C22⋊C8C22×C19semidirect
1449. C19#61614direct (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×#34852
C19×#33302
C19×#33232
C19×#33192
C19×#33152
C19×#33072
C19×#33062
C19×#33032
C19×#32972
C19×#32842
C19×#32802
C19×#32732
C19×#32722
C19×#32682
C19×#32672
C19×#32642
C19×#32252
C19×#32212
C19×#32012
C19×#32002
C19×#31972
C19×#31882
C19×#31222
C19×#31182
C19×#30122
C19×#30082
C19×#30062
C19×#30022
C19×#29762
#6161419