Finite Group Databasebeta

← C19×#61610 #18067569

Subgroups — C19×#61610 #18067569

Order 4864.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3541C211yesmaximal, characteristic, complemented
2C19×#3484C211yesmaximal, characteristic, complemented
3C19×#3324C211yesmaximal, characteristic, complemented
4C19×#3323C211yesmaximal, characteristic, complemented
5C19×#3318C211yesmaximal, characteristic, complemented
6C19×#3314C211yesmaximal, characteristic, complemented
7C19×#3311C211yesmaximal, characteristic, complemented
8C19×#3310C211yesmaximal, characteristic, complemented
9C19×#3297C211yesmaximal, characteristic, complemented
10C19×#3295C211yesmaximal, characteristic, complemented
11C19×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C19C211yesmaximal, characteristic, complemented
13C19×#3275C211yesmaximal, characteristic, complemented
14C19×#3272C211yesmaximal, characteristic, complemented
15C19×#3267C211yesmaximal, characteristic, complemented
16C19×#3266C211yesmaximal, characteristic, complemented
17C19×#3265C211yesmaximal, characteristic, complemented
18C19×#3265C211yesmaximal, characteristic, complemented
19C19×#3224C211yesmaximal, characteristic, complemented
20C19×#3222C211yesmaximal, characteristic, complemented
21C19×#3200C211yesmaximal, characteristic, complemented
22C19×#3198C211yesmaximal, characteristic, complemented
23C19×#3196C211yesmaximal, characteristic, complemented
24C19×#3191C211yesmaximal, characteristic, complemented
25C19×#3123C211yesmaximal, characteristic, complemented
26C19×#3118C211yesmaximal, characteristic, complemented
27C19×#3012C211yesmaximal, characteristic, complemented
28C19×#3009C211yesmaximal, characteristic, complemented
29C19×#3003C211yesmaximal, characteristic, complemented
30C2×C19×#450C211yesmaximal, characteristic, complemented
31C19×#2976C211yesmaximal, characteristic, complemented
32C2×C19×H(5,𝔽2)C2211yescharacteristic
33C23×D4×C19C2211yescharacteristic
34C2×C19×#137C2211yescharacteristic, 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
39C22×SD16×C19C2211yescharacteristic, complemented
40C22×SD16×C19C2211yescharacteristic, complemented
41C22×SD16×C19C2211yescharacteristic, complemented
42C19×#563—21no—
43C19×#562—21no—
44C19×#556C2211yescharacteristic, complemented
45C19×#554—21no—
46C19×#554C2211yescharacteristic, complemented
47C19×#553—21no—
48C19×#553C2211yescharacteristic, complemented
49C19×#552C2211yescharacteristic, complemented
50D4×Q8×C19C2211yescharacteristic, complemented
51C19×#548C2211yescharacteristic, complemented
52C19×#548C2211yescharacteristic, complemented
53C19×#547C2211yescharacteristic, complemented
54C19×#546—21no—
55C19×#546—21no—
56C19×#546C2211yescharacteristic
57C19×#546C2211yescharacteristic
58C19×#546C2211yescharacteristic
59C19×#546C2211yescharacteristic
60D42×C19—21no—
61D42×C19—21no—
62D42×C19C2211yescharacteristic
63D42×C19C2211yescharacteristic
64D42×C19C2211yescharacteristic
65D42×C19C2211yescharacteristic
66C19×#542—21no—
67C19×#542C2211yescharacteristic, complemented
68C19×#541C2211yescharacteristic, complemented
69C19×#539—21no—
70C19×#538—21no—
71C19×#538—21no—
72C19×#537C2211yescharacteristic, complemented
73C19×#536C2211yescharacteristic, complemented
74C19×#535C2211yescharacteristic
75C19×#535C2211yescharacteristic
76C19×#534—21no—
77C19×#534—21no—
78C19×#525C2211yescharacteristic
79C19×#525C2211yescharacteristic
80C19×#525C2211yescharacteristic, complemented
81C2×C19×C22⋊Q8C2211yescharacteristic, complemented
82C2×C19×#120—21no—
83C2×C19×#120—21no—
84C19×#518C2211yescharacteristic
85C19×#497C2211yescharacteristic, complemented
86C19×#496C2211yescharacteristic, complemented
87C19×#495C2211yescharacteristic, complemented
88C19×#492C2211yescharacteristic, complemented
89C19×#490C2211yescharacteristic, complemented
90C19×#489C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#486C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#484C2211yescharacteristic, complemented
98C19×#482C2211yescharacteristic, complemented
99C19×#482C2211yescharacteristic, complemented
100C19×#482C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#481C2211yescharacteristic, complemented
103C19×#481C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, 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×#464C2211yescharacteristic, complemented
127C19×#464C2211yescharacteristic, complemented
128C19×#463C2211yescharacteristic, complemented
129C19×#463C2211yescharacteristic, complemented
130C19×#463C2211yescharacteristic, complemented
131C19×#461C2211yescharacteristic, complemented
132C19×#461C2211yescharacteristic, complemented
133C19×#460C2211yescharacteristic, complemented
134C19×#460C2211yescharacteristic, complemented
135C19×#460C2211yescharacteristic, 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
146C19×#450C2211yescharacteristic
147C19×#450C2211yescharacteristic
148C19×#450C2211yescharacteristic, complemented
149C19×#450C2211yescharacteristic, complemented
150C19×#450C2211yescharacteristic, complemented
151C19×#450C2211yescharacteristic, complemented
152C19×#450C2211yescharacteristic, complemented
153C19×#450C2211yescharacteristic, complemented
154C19×#450C2211yescharacteristic, complemented
155C19×#450C2211yescharacteristic, complemented
156C19×#450C2211yescharacteristic, complemented
157C19×#450C2211yescharacteristic, complemented
158C19×#450C2211yescharacteristic, complemented
159C19×#450C2211yescharacteristic, complemented
160C19×#449C2211yescharacteristic, complemented
161C19×#449C2211yescharacteristic, complemented
162C19×#449C2211yescharacteristic, complemented
163C19×#449C2211yescharacteristic, complemented
164C19×#449C2211yescharacteristic, complemented
165C19×#448C2211yescharacteristic, complemented
166C19×#448C2211yescharacteristic, complemented
167C19×#448C2211yescharacteristic, complemented
168C19×#447C2211yescharacteristic
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×SD16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C4×SD16×C19C2211yescharacteristic, complemented
180C4×D8×C19C2211yescharacteristic, complemented
181C19×#436C2211yescharacteristic, complemented
182C19×#436C2211yescharacteristic, complemented
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C19×#435C2211yescharacteristic, complemented
186C19×#435C2211yescharacteristic, complemented
187C8×D4×C19C2211yescharacteristic, complemented
188C8×D4×C19C2211yescharacteristic, complemented
189C19×#433C2211yescharacteristic, complemented
190C19×#433C2211yescharacteristic, complemented
191C19×#418C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic, complemented
193C19×#418C2211yescharacteristic, complemented
194C19×#417C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic, complemented
196C2×C19×#102C2211yescharacteristic, complemented
197C2×C19×#102C2211yescharacteristic, complemented
198C2×C19×#102C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C19×#407C2211yescharacteristic, complemented
202C2×C19×C22⋊C8C2211yescharacteristic, complemented
203C25×C19—21no—
204C19×H(5,𝔽2)—42no—
205C19×H(5,𝔽2)—42no—
206C2×#41×C19—21no—
207C2×#41×C19C2311yescharacteristic
208C2×#41×C19C2311yescharacteristic
209C2×#41×C19C2311yescharacteristic
210C2×#41×C19C2311yescharacteristic
211C2×#41×C19C2311yescharacteristic
212C2×#41×C19C2311yescharacteristic, complemented
213C22×Q8×C19C2311yescharacteristic
214C22×Q8×C19C2311yescharacteristic, complemented
215C22×D4×C19—21no—
216C22×D4×C19—21no—
217C22×D4×C19—21no—
218C22×D4×C19—21no—
219C22×D4×C19—21no—
220C22×D4×C19—21no—
221C22×D4×C19—21no—
222C22×D4×C19—21no—
223C22×D4×C19—21no—
224C22×D4×C19—21no—
225C22×D4×C19—42no—
226C22×D4×C19—42no—
227C22×D4×C19C2311yescharacteristic
228C22×D4×C19C2311yescharacteristic
229C22×D4×C19C2311yescharacteristic
230C22×D4×C19C2311yescharacteristic
231C22×D4×C19C2311yescharacteristic
232C22×D4×C19C2311yescharacteristic
233C22×D4×C19C2311yescharacteristic
234C22×D4×C19C2311yescharacteristic
235C23×C4×C19C2311yescharacteristic
236C19×#137—42no—
237C19×AGL(1,ℤ/8)—42no—
238C19×AGL(1,ℤ/8)—42no—
239C19×AGL(1,ℤ/8)—42no—
240C19×#135—42no—
241C2×Q16×C19C2311yescharacteristic, complemented
242C2×Q16×C19C2311yescharacteristic, complemented
243C2×Q16×C19C2311yescharacteristic, complemented
244C2×SD16×C19—42no—
245C2×SD16×C19—42no—
246C2×SD16×C19—42no—
247C2×SD16×C19C2311yescharacteristic
248C2×SD16×C19C2311yescharacteristic
249C2×SD16×C19C2311yescharacteristic
250C2×SD16×C19C2311yescharacteristic
251C2×SD16×C19C2311yescharacteristic
252C2×SD16×C19C2311yescharacteristic
253C2×SD16×C19C2311yescharacteristic
254C2×SD16×C19C2311yescharacteristic
255C2×SD16×C19C2311yescharacteristic
256C2×SD16×C19C2311yescharacteristic
257C2×SD16×C19C2311yescharacteristic
258C2×SD16×C19C2311yescharacteristic
259C2×SD16×C19C2311yescharacteristic, complemented
260C2×SD16×C19C2311yescharacteristic, complemented
261C2×SD16×C19C2311yescharacteristic, complemented
262C2×SD16×C19C2311yescharacteristic, complemented
263C2×D8×C19C2311yescharacteristic
264C2×D8×C19C2311yescharacteristic
265C2×D8×C19C2311yescharacteristic
266C2×D8×C19C2311yescharacteristic
267C2×D8×C19C2311yescharacteristic, complemented
268C2×M16×C19C2311yescharacteristic
269C2×M16×C19C2311yescharacteristic
270C2×M16×C19C2311yescharacteristic, complemented
271C2×M16×C19C2311yescharacteristic, complemented
272C22×C8×C19C2311yescharacteristic
273C22×C8×C19C2311yescharacteristic
274C22×C8×C19C2311yescharacteristic, complemented
275C22×C8×C19C2311yescharacteristic, complemented
276C19×C4⋊Q8—21no—
277C19×C4⋊Q8—21no—
278C19×C4⋊Q8C2311yescharacteristic, complemented
279C19×C4⋊Q8C2311yescharacteristic, complemented
280C19×#127—21no—
281C19×#127C2311yescharacteristic
282C19×#127C2311yescharacteristic
283C19×#126—21no—
284C19×#126—21no—
285C19×#126—21no—
286C19×#126—21no—
287C19×#126—21no—
288C19×#126—21no—
289C19×#126—21no—
290C19×#125—21no—
291C19×#125—21no—
292C19×#125—21no—
293C19×#125—21no—
294C19×#125C2311yescharacteristic, complemented
295C19×#124—21no—
296C19×#124—21no—
297C19×#124—21no—
298C19×#124—21no—
299C19×#124—21no—
300C19×#124—21no—
301C19×#124C2311yescharacteristic
302C19×#124C2311yescharacteristic
303C19×#124C2311yescharacteristic, complemented
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×#123D411yescharacteristic
318C19×#123D411yescharacteristic
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8—21no—
322C19×C22⋊Q8—21no—
323C19×C22⋊Q8—21no—
324C19×C22⋊Q8—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊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, complemented
340C19×C22⋊Q8C2311yescharacteristic, complemented
341C19×C22⋊Q8C2311yescharacteristic, complemented
342C19×#121—21no—
343C19×#121—21no—
344C19×#121—21no—
345C19×#121—21no—
346C19×#121—21no—
347C19×#121—21no—
348C19×#121—21no—
349C19×#121—21no—
350C19×#121—21no—
351C19×#121—21no—
352C19×#121—21no—
353C19×#121—21no—
354C19×#121—21no—
355C19×#121—21no—
356C19×#121—21no—
357C19×#121—21no—
358C19×#121—21no—
359C19×#121D411yescharacteristic
360C19×#121D411yescharacteristic
361C19×#121C2311yescharacteristic
362C19×#121C2311yescharacteristic
363C19×#121C2311yescharacteristic
364C19×#121C2311yescharacteristic
365C19×#121C2311yescharacteristic
366C19×#121C2311yescharacteristic
367C19×#121C2311yescharacteristic
368C19×#121C2311yescharacteristic
369C19×#121C2311yescharacteristic, complemented
370C19×#120—21no—
371C19×#120—21no—
372C19×#120—21no—
373C19×#120—21no—
374C19×#120—21no—
375C19×#120—21no—
376C19×#120—21no—
377C19×#120—21no—
378C19×#120—21no—
379C19×#120—21no—
380C19×#120—21no—
381C19×#120—21no—
382C19×#120—21no—
383C19×#120—21no—
384C19×#120—21no—
385C19×#120—21no—
386C19×#120—21no—
387C19×#120—21no—
388C19×#120D411yescharacteristic
389C19×#120D411yescharacteristic
390C4×Q8×C19—21no—
391C4×Q8×C19C2311yescharacteristic, complemented
392C4×Q8×C19C2311yescharacteristic, complemented
393C4×Q8×C19C2311yescharacteristic, complemented
394C4×D4×C19—21no—
395C4×D4×C19—21no—
396C4×D4×C19—21no—
397C4×D4×C19—21no—
398C4×D4×C19—21no—
399C4×D4×C19—21no—
400C4×D4×C19—21no—
401C4×D4×C19—21no—
402C4×D4×C19—21no—
403C4×D4×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, complemented
414C19×#117—21no—
415C19×#117C2311yescharacteristic
416C19×#117C2311yescharacteristic
417C19×#117C2311yescharacteristic
418C19×#117C2311yescharacteristic, complemented
419C2×C4⋊C4×C19—21no—
420C2×C4⋊C4×C19—21no—
421C2×C4⋊C4×C19C2311yescharacteristic
422C2×C4⋊C4×C19C2311yescharacteristic, complemented
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, complemented
431C19×#107C2311yescharacteristic, complemented
432C19×#107C2311yescharacteristic, complemented
433C19×#107C2311yescharacteristic, complemented
434C19×#106C2311yescharacteristic, complemented
435C19×#106C2311yescharacteristic, complemented
436C19×#106C2311yescharacteristic, complemented
437C19×#106C2311yescharacteristic, complemented
438C19×C4⋊C8C2311yescharacteristic, complemented
439C19×C4⋊C8C2311yescharacteristic, complemented
440C19×C4⋊C8C2311yescharacteristic, complemented
441C19×C4⋊C8C2311yescharacteristic, complemented
442C19×#103C2311yescharacteristic, complemented
443C19×#103C2311yescharacteristic, complemented
444C19×#103C2311yescharacteristic, complemented
445C19×#103C2311yescharacteristic, complemented
446C19×#103C2311yescharacteristic, complemented
447C19×#103C2311yescharacteristic, complemented
448C19×#103C2311yescharacteristic, complemented
449C19×#103C2311yescharacteristic, complemented
450C19×#103C2311yescharacteristic, complemented
451C19×#103C2311yescharacteristic, complemented
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, complemented
469C19×#102C2311yescharacteristic, complemented
470C19×#102C2311yescharacteristic, complemented
471C19×#102C2311yescharacteristic, complemented
472C19×#102C2311yescharacteristic, complemented
473C19×#102C2311yescharacteristic, complemented
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, complemented
483C19×C22⋊C8C2311yescharacteristic, complemented
484C19×C22⋊C8C2311yescharacteristic, complemented
485C19×C22⋊C8C2311yescharacteristic, complemented
486C19×#97C2311yescharacteristic, complemented
487C19×#97C2311yescharacteristic, complemented
488C4×C8×C19C2311yescharacteristic, complemented
489C4×C8×C19C2311yescharacteristic, complemented
490C24×C19—21no—
491C24×C19—21no—
492C24×C19—21no—
493C24×C19—21no—
494C24×C19—21no—
495C24×C19—21no—
496C24×C19—21no—
497C24×C19—21no—
498C24×C19—44no—
499C24×C19—82no—
500C24×C19—82no—
501C24×C19C2×D411yescharacteristic
502#41×C19—22no—
503#41×C19—22no—
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—44no—
515C2×Q8×C19—21no—
516C2×Q8×C19—21no—
517C2×Q8×C19—21no—
518C2×Q8×C19—41no—
519C2×Q8×C19—41no—
520C2×Q8×C19—41no—
521C2×Q8×C19—41no—
522C2×Q8×C19C2×D411yescharacteristic
523C2×Q8×C19C2411yescharacteristic
524C2×Q8×C19C2411yescharacteristic
525C2×Q8×C19C2411yescharacteristic
526C2×Q8×C19C2411yescharacteristic
527C2×D4×C19—22no—
528C2×D4×C19—22no—
529C2×D4×C19—22no—
530C2×D4×C19—22no—
531C2×D4×C19—22no—
532C2×D4×C19—22no—
533C2×D4×C19—22no—
534C2×D4×C19—22no—
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—41no—
562C2×D4×C19—41no—
563C2×D4×C19—41no—
564C2×D4×C19—41no—
565C2×D4×C19—41no—
566C2×D4×C19—41no—
567C2×D4×C19—41no—
568C2×D4×C19—41no—
569C2×D4×C19—44no—
570C2×D4×C19—44no—
571C2×D4×C19—44no—
572C2×D4×C19—44no—
573C2×D4×C19—44no—
574C2×D4×C19—44no—
575C2×D4×C19—82no—
576C2×D4×C19—82no—
577C2×D4×C19—82no—
578C2×D4×C19—82no—
579C2×D4×C19C2×D411yescharacteristic
580C2×D4×C19C2×D411yescharacteristic
581C2×D4×C19C2×D411yescharacteristic
582C2×D4×C19C2×D411yescharacteristic
583C2×D4×C19C2×D411yescharacteristic
584C2×D4×C19C2×D411yescharacteristic
585C2×D4×C19C2×D411yescharacteristic
586C2×D4×C19C2411yescharacteristic
587C2×D4×C19C2411yescharacteristic
588C2×D4×C19C2411yescharacteristic
589C2×D4×C19C2411yescharacteristic
590C2×D4×C19C2411yescharacteristic
591C2×D4×C19C2411yescharacteristic
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—21no—
605C22×C4×C19—21no—
606C22×C4×C19—41no—
607C22×C4×C19—41no—
608C22×C4×C19C2×D411yescharacteristic
609C22×C4×C19C2×D411yescharacteristic
610C22×C4×C19C2×D411yescharacteristic
611C22×C4×C19C2411yescharacteristic
612C22×C4×C19C2411yescharacteristic
613C22×C4×C19C2411yescharacteristic
614C22×C4×C19C2411yescharacteristic
615C22×C4×C19C2411yescharacteristic
616Q16×C19—41no—
617Q16×C19—41no—
618Q16×C19—41no—
619SD16×C19—22no—
620SD16×C19—22no—
621SD16×C19—22no—
622SD16×C19—22no—
623SD16×C19—22no—
624SD16×C19—22no—
625SD16×C19—41no—
626SD16×C19—41no—
627SD16×C19—41no—
628SD16×C19—41no—
629SD16×C19—41no—
630SD16×C19—41no—
631SD16×C19—41no—
632SD16×C19—41no—
633SD16×C19—41no—
634SD16×C19—41no—
635D8×C19—22no—
636D8×C19—22no—
637D8×C19—41no—
638D8×C19—41no—
639D8×C19—41no—
640M16×C19—41no—
641M16×C19—41no—
642M16×C19—41no—
643M16×C19—41no—
644C2×C8×C19—41no—
645C2×C8×C19—41no—
646C2×C8×C19—41no—
647C2×C8×C19—41no—
648C2×C8×C19C2411yescharacteristic
649C2×C8×C19C2411yescharacteristic
650C2×C8×C19C2411yescharacteristic
651C2×C8×C19C2411yescharacteristic
652C2×C8×C19C2411yescharacteristic
653C2×C8×C19C2411yescharacteristic
654C2×C8×C19C2411yescharacteristic
655C2×C8×C19C2411yescharacteristic
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×C19—21no—
675C4⋊C4×C19—21no—
676C4⋊C4×C19—21no—
677C4⋊C4×C19C2×D411yescharacteristic
678C4⋊C4×C19C2×D411yescharacteristic
679C4⋊C4×C19C2×D411yescharacteristic
680C4⋊C4×C19C2×D411yescharacteristic
681C4⋊C4×C19C2×D411yescharacteristic
682C4⋊C4×C19C2×D411yescharacteristic
683C4⋊C4×C19C2411yescharacteristic
684C4⋊C4×C19C2411yescharacteristic
685C4⋊C4×C19C2411yescharacteristic
686C4⋊C4×C19C2411yescharacteristic
687C4⋊C4×C19C2411yescharacteristic
688C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
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
732C22⋊C4×C19C2×D411yescharacteristic
733C42×C19—21no—
734C42×C19—21no—
735C42×C19—21no—
736C42×C19—21no—
737C42×C19—21no—
738C42×C19—21no—
739C42×C19C2411yescharacteristic
740C42×C19C2411yescharacteristic
741#61610C1911yesmaximal, characteristic, direct product factor, Sylow
742C23×C19—24no—
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—42no—
759C23×C19—42no—
760C23×C19—42no—
761C23×C19—42no—
762C23×C19—42no—
763C23×C19—81no—
764C23×C19—81no—
765C23×C19—81no—
766C23×C19—81no—
767C23×C19—81no—
768C23×C19—81no—
769C23×C19—81no—
770C23×C19—81no—
771C23×C19—81no—
772C23×C19—81no—
773C23×C19—81no—
774C23×C19—81no—
775C23×C19—816no—
776C23×C19C22×D411yescharacteristic
777C23×C19C22×D411yescharacteristic
778C23×C19C22×D411yescharacteristic
779C23×C19C22×D411yescharacteristic
780C23×C19C22×D411yescharacteristic
781Q8×C19—21no—
782Q8×C19—21no—
783Q8×C19—21no—
784Q8×C19—21no—
785Q8×C19—21no—
786Q8×C19—21no—
787Q8×C19—21no—
788Q8×C19—21no—
789Q8×C19—41no—
790Q8×C19—81no—
791Q8×C19—81no—
792Q8×C19—81no—
793D4×C19—24no—
794D4×C19—22no—
795D4×C19—22no—
796D4×C19—21no—
797D4×C19—21no—
798D4×C19—21no—
799D4×C19—21no—
800D4×C19—21no—
801D4×C19—21no—
802D4×C19—21no—
803D4×C19—21no—
804D4×C19—21no—
805D4×C19—21no—
806D4×C19—41no—
807D4×C19—41no—
808D4×C19—41no—
809D4×C19—41no—
810D4×C19—41no—
811D4×C19—42no—
812D4×C19—42no—
813D4×C19—42no—
814D4×C19—42no—
815D4×C19—42no—
816D4×C19—42no—
817D4×C19—42no—
818D4×C19—42no—
819D4×C19—42no—
820D4×C19—42no—
821D4×C19—42no—
822D4×C19—42no—
823D4×C19—42no—
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×C19H(5,𝔽2)12yes—
837D4×C19H(5,𝔽2)12yes—
838C2×C4×C19—21no—
839C2×C4×C19—21no—
840C2×C4×C19—21no—
841C2×C4×C19—21no—
842C2×C4×C19—21no—
843C2×C4×C19—21no—
844C2×C4×C19—21no—
845C2×C4×C19—21no—
846C2×C4×C19—21no—
847C2×C4×C19—21no—
848C2×C4×C19—21no—
849C2×C4×C19—21no—
850C2×C4×C19—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—41no—
859C2×C4×C19—41no—
860C2×C4×C19—41no—
861C2×C4×C19—42no—
862C2×C4×C19—42no—
863C2×C4×C19—42no—
864C2×C4×C19—81no—
865C2×C4×C19—81no—
866C2×C4×C19—81no—
867C2×C4×C19—81no—
868C2×C4×C19—81no—
869C2×C4×C19—81no—
870C2×C4×C19—81no—
871C2×C4×C19—81no—
872C2×C4×C19—81no—
873C2×C4×C19—81no—
874C2×C4×C19—81no—
875C2×C4×C19C22×D411yescharacteristic
876C2×C4×C19C22×D411yescharacteristic
877C2×C4×C19C22×D411yescharacteristic
878C2×C4×C19C22×D411yescharacteristic
879C2×C4×C19C22×D411yescharacteristic
880C2×C4×C19C22×D411yescharacteristic
881C2×C4×C19C22×D411yescharacteristic
882C2×C4×C19C22×D411yescharacteristic
883C2×C4×C19C22×D411yescharacteristic
884C2×C4×C19C2511yescharacteristic
885C8×C19—21no—
886C8×C19—21no—
887C8×C19—21no—
888C8×C19—21no—
889C8×C19—21no—
890C8×C19—21no—
891C8×C19—21no—
892C8×C19—21no—
893#3541C2×C1911yescharacteristic, complemented
894#3484C2×C1911yescharacteristic, complemented
895#3324C2×C1911yescharacteristic, complemented
896#3323C2×C1911yescharacteristic, complemented
897#3318C2×C1911yescharacteristic, complemented
898#3314C2×C1911yescharacteristic, complemented
899#3311C2×C1911yescharacteristic, complemented
900#3310C2×C1911yescharacteristic, complemented
901#3297C2×C1911yescharacteristic, complemented
902#3295C2×C1911yescharacteristic, complemented
903#3282C2×C1911yescharacteristic, complemented
904D4×SD16C2×C1911yescharacteristic, complemented
905#3275C2×C1911yescharacteristic, complemented
906#3272C2×C1911yescharacteristic, complemented
907#3267C2×C1911yescharacteristic, complemented
908#3266C2×C1911yescharacteristic, complemented
909#3265C2×C1911yescharacteristic, complemented
910#3265C2×C1911yescharacteristic, complemented
911#3224C2×C1911yescharacteristic, complemented
912#3222C2×C1911yescharacteristic, complemented
913#3200C2×C1911yescharacteristic, complemented
914#3198C2×C1911yescharacteristic, complemented
915#3196C2×C1911yescharacteristic, complemented
916#3191C2×C1911yescharacteristic, complemented
917#3123C2×C1911yescharacteristic, complemented
918#3118C2×C1911yescharacteristic, complemented
919#3012C2×C1911yescharacteristic, complemented
920#3009C2×C1911yescharacteristic, complemented
921#3003C2×C1911yescharacteristic, complemented
922C2×#450C2×C1911yescharacteristic, complemented
923#2976C2×C1911yescharacteristic, complemented
924C22×C19—21no—
925C22×C19—21no—
926C22×C19—21no—
927C22×C19—21no—
928C22×C19—21no—
929C22×C19—21no—
930C22×C19—21no—
931C22×C19—21no—
932C22×C19—21no—
933C22×C19—21no—
934C22×C19—22no—
935C22×C19—22no—
936C22×C19—21no—
937C22×C19—21no—
938C22×C19—21no—
939C22×C19—21no—
940C22×C19—44no—
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—41no—
950C22×C19—41no—
951C22×C19—41no—
952C22×C19—41no—
953C22×C19—41no—
954C22×C19—41no—
955C22×C19—41no—
956C22×C19—41no—
957C22×C19—84no—
958C22×C19—84no—
959C22×C19—84no—
960C22×C19—84no—
961C22×C19—84no—
962C22×C19—84no—
963C22×C19—162no—
964C22×C19—162no—
965C22×C19#57712yes—
966C22×C19C23×D411yescharacteristic
967C4×C19—21no—
968C4×C19—21no—
969C4×C19—21no—
970C4×C19—21no—
971C4×C19—21no—
972C4×C19—21no—
973C4×C19—21no—
974C4×C19—21no—
975C4×C19—21no—
976C4×C19—41no—
977C4×C19—41no—
978C4×C19—41no—
979C4×C19—41no—
980C4×C19—41no—
981C4×C19—41no—
982C4×C19—41no—
983C4×C19—41no—
984C4×C19—41no—
985C4×C19—41no—
986C4×C19C2×H(5,𝔽2)11yescharacteristic
987C4×C19C2×H(5,𝔽2)11yescharacteristic
988C2×H(5,𝔽2)C22×C1911yescharacteristic
989C23×D4C22×C1911yescharacteristic
990C2×#137C22×C1911yescharacteristic, complemented
991C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
992C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
993C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
994C2×#135C22×C1911yescharacteristic, complemented
995C22×SD16C22×C1911yescharacteristic, complemented
996C22×SD16C22×C1911yescharacteristic, complemented
997C22×SD16C22×C1911yescharacteristic, complemented
998#563—21no—
999#562—21no—
1000#556C22×C1911yescharacteristic, complemented
1001#554—21no—
1002#554C22×C1911yescharacteristic, complemented
1003#553—21no—
1004#553C22×C1911yescharacteristic, complemented
1005#552C22×C1911yescharacteristic, complemented
1006D4×Q8C22×C1911yescharacteristic, complemented
1007#548C22×C1911yescharacteristic, complemented
1008#548C22×C1911yescharacteristic, complemented
1009#547C22×C1911yescharacteristic, complemented
1010#546—21no—
1011#546—21no—
1012#546C22×C1911yescharacteristic
1013#546C22×C1911yescharacteristic
1014#546C22×C1911yescharacteristic
1015#546C22×C1911yescharacteristic
1016D42—21no—
1017D42—21no—
1018D42C22×C1911yescharacteristic
1019D42C22×C1911yescharacteristic
1020D42C22×C1911yescharacteristic
1021D42C22×C1911yescharacteristic
1022#542—21no—
1023#542C22×C1911yescharacteristic, complemented
1024#541C22×C1911yescharacteristic, complemented
1025#539—21no—
1026#538—21no—
1027#538—21no—
1028#537C22×C1911yescharacteristic, complemented
1029#536C22×C1911yescharacteristic, complemented
1030#535C22×C1911yescharacteristic
1031#535C22×C1911yescharacteristic
1032#534—21no—
1033#534—21no—
1034#525C22×C1911yescharacteristic
1035#525C22×C1911yescharacteristic
1036#525C22×C1911yescharacteristic, complemented
1037C2×C22⋊Q8C22×C1911yescharacteristic, complemented
1038C2×#120—21no—
1039C2×#120—21no—
1040#518C22×C1911yescharacteristic
1041#497C22×C1911yescharacteristic, complemented
1042#496C22×C1911yescharacteristic, complemented
1043#495C22×C1911yescharacteristic, complemented
1044#492C22×C1911yescharacteristic, complemented
1045#490C22×C1911yescharacteristic, complemented
1046#489C22×C1911yescharacteristic, complemented
1047#488C22×C1911yescharacteristic, complemented
1048#486C22×C1911yescharacteristic, complemented
1049#485C22×C1911yescharacteristic, complemented
1050#485C22×C1911yescharacteristic, complemented
1051#485C22×C1911yescharacteristic, complemented
1052#485C22×C1911yescharacteristic, complemented
1053#484C22×C1911yescharacteristic, complemented
1054#482C22×C1911yescharacteristic, complemented
1055#482C22×C1911yescharacteristic, complemented
1056#482C22×C1911yescharacteristic, complemented
1057#482C22×C1911yescharacteristic, complemented
1058#481C22×C1911yescharacteristic, complemented
1059#481C22×C1911yescharacteristic, complemented
1060#480C22×C1911yescharacteristic, complemented
1061#478C22×C1911yescharacteristic, complemented
1062#478C22×C1911yescharacteristic, complemented
1063#476C22×C1911yescharacteristic, complemented
1064#474C22×C1911yescharacteristic, complemented
1065#470C22×C1911yescharacteristic, complemented
1066#470C22×C1911yescharacteristic, complemented
1067#469C22×C1911yescharacteristic, complemented
1068#468C22×C1911yescharacteristic, complemented
1069#468C22×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#465C22×C1911yescharacteristic, complemented
1077#465C22×C1911yescharacteristic, complemented
1078#465C22×C1911yescharacteristic, complemented
1079#465C22×C1911yescharacteristic, complemented
1080#465C22×C1911yescharacteristic, complemented
1081#464C22×C1911yescharacteristic, complemented
1082#464C22×C1911yescharacteristic, complemented
1083#464C22×C1911yescharacteristic, complemented
1084#463C22×C1911yescharacteristic, complemented
1085#463C22×C1911yescharacteristic, complemented
1086#463C22×C1911yescharacteristic, complemented
1087#461C22×C1911yescharacteristic, complemented
1088#461C22×C1911yescharacteristic, complemented
1089#460C22×C1911yescharacteristic, complemented
1090#460C22×C1911yescharacteristic, complemented
1091#460C22×C1911yescharacteristic, complemented
1092#459C22×C1911yescharacteristic, complemented
1093#452C22×C1911yescharacteristic, complemented
1094#452C22×C1911yescharacteristic, complemented
1095#452C22×C1911yescharacteristic, complemented
1096#452C22×C1911yescharacteristic, complemented
1097#452C22×C1911yescharacteristic, complemented
1098#452C22×C1911yescharacteristic, complemented
1099#452C22×C1911yescharacteristic, complemented
1100#451C22×C1911yescharacteristic, complemented
1101#450C22×C1911yescharacteristic
1102#450C22×C1911yescharacteristic
1103#450C22×C1911yescharacteristic
1104#450C22×C1911yescharacteristic, complemented
1105#450C22×C1911yescharacteristic, complemented
1106#450C22×C1911yescharacteristic, complemented
1107#450C22×C1911yescharacteristic, complemented
1108#450C22×C1911yescharacteristic, complemented
1109#450C22×C1911yescharacteristic, complemented
1110#450C22×C1911yescharacteristic, complemented
1111#450C22×C1911yescharacteristic, complemented
1112#450C22×C1911yescharacteristic, complemented
1113#450C22×C1911yescharacteristic, complemented
1114#450C22×C1911yescharacteristic, complemented
1115#450C22×C1911yescharacteristic, complemented
1116#449C22×C1911yescharacteristic, complemented
1117#449C22×C1911yescharacteristic, complemented
1118#449C22×C1911yescharacteristic, complemented
1119#449C22×C1911yescharacteristic, complemented
1120#449C22×C1911yescharacteristic, complemented
1121#448C22×C1911yescharacteristic, complemented
1122#448C22×C1911yescharacteristic, complemented
1123#448C22×C1911yescharacteristic, complemented
1124#447C22×C1911yescharacteristic
1125#447C22×C1911yescharacteristic, complemented
1126#447C22×C1911yescharacteristic, complemented
1127#447C22×C1911yescharacteristic, complemented
1128#447C22×C1911yescharacteristic, complemented
1129#442C22×C1911yescharacteristic, complemented
1130#440C22×C1911yescharacteristic, complemented
1131#440C22×C1911yescharacteristic, complemented
1132#440C22×C1911yescharacteristic, complemented
1133C4×SD16C22×C1911yescharacteristic, complemented
1134C4×SD16C22×C1911yescharacteristic, complemented
1135C4×SD16C22×C1911yescharacteristic, complemented
1136C4×D8C22×C1911yescharacteristic, complemented
1137#436C22×C1911yescharacteristic, complemented
1138#436C22×C1911yescharacteristic, complemented
1139#435C22×C1911yescharacteristic, complemented
1140#435C22×C1911yescharacteristic, complemented
1141#435C22×C1911yescharacteristic, complemented
1142#435C22×C1911yescharacteristic, complemented
1143C8×D4C22×C1911yescharacteristic, complemented
1144C8×D4C22×C1911yescharacteristic, complemented
1145#433C22×C1911yescharacteristic, complemented
1146#433C22×C1911yescharacteristic, complemented
1147#418C22×C1911yescharacteristic, complemented
1148#418C22×C1911yescharacteristic, complemented
1149#418C22×C1911yescharacteristic, complemented
1150#417C22×C1911yescharacteristic, complemented
1151#416C22×C1911yescharacteristic, complemented
1152C2×#102C22×C1911yescharacteristic, complemented
1153C2×#102C22×C1911yescharacteristic, complemented
1154C2×#102C22×C1911yescharacteristic, complemented
1155#408C22×C1911yescharacteristic, complemented
1156#408C22×C1911yescharacteristic, complemented
1157#407C22×C1911yescharacteristic, complemented
1158C2×C22⋊C8C22×C1911yescharacteristic, complemented
1159C2×C19—22no—
1160C2×C19—41no—
1161C2×C19—41no—
1162C2×C19—41no—
1163C2×C19—41no—
1164C2×C19—42no—
1165C2×C19—42no—
1166C2×C19—81no—
1167C2×C19—81no—
1168C2×C19—81no—
1169C2×C19—81no—
1170C2×C19#348411yescharacteristic
1171C2×C19C2×#57711yescharacteristic
1172C2×C19#358511yescharacteristic
1173C25—21no—
1174H(5,𝔽2)—42no—
1175H(5,𝔽2)—42no—
1176C2×#41—21no—
1177C2×#41C23×C1911yescharacteristic
1178C2×#41C23×C1911yescharacteristic
1179C2×#41C23×C1911yescharacteristic
1180C2×#41C23×C1911yescharacteristic
1181C2×#41C23×C1911yescharacteristic
1182C2×#41C23×C1911yescharacteristic, complemented
1183C22×Q8C23×C1911yescharacteristic
1184C22×Q8C23×C1911yescharacteristic, complemented
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—42no—
1196C22×D4—42no—
1197C22×D4C23×C1911yescharacteristic
1198C22×D4C23×C1911yescharacteristic
1199C22×D4C23×C1911yescharacteristic
1200C22×D4C23×C1911yescharacteristic
1201C22×D4C23×C1911yescharacteristic
1202C22×D4C23×C1911yescharacteristic
1203C22×D4C23×C1911yescharacteristic
1204C22×D4C23×C1911yescharacteristic
1205C23×C4C23×C1911yescharacteristic
1206#137—42no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—42no—
1210#135—42no—
1211C2×Q16C23×C1911yescharacteristic, complemented
1212C2×Q16C23×C1911yescharacteristic, complemented
1213C2×Q16C23×C1911yescharacteristic, complemented
1214C2×SD16—42no—
1215C2×SD16—42no—
1216C2×SD16—42no—
1217C2×SD16C23×C1911yescharacteristic
1218C2×SD16C23×C1911yescharacteristic
1219C2×SD16C23×C1911yescharacteristic
1220C2×SD16C23×C1911yescharacteristic
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, complemented
1230C2×SD16C23×C1911yescharacteristic, complemented
1231C2×SD16C23×C1911yescharacteristic, complemented
1232C2×SD16C23×C1911yescharacteristic, complemented
1233C2×D8C23×C1911yescharacteristic
1234C2×D8C23×C1911yescharacteristic
1235C2×D8C23×C1911yescharacteristic
1236C2×D8C23×C1911yescharacteristic
1237C2×D8C23×C1911yescharacteristic, complemented
1238C2×M16C23×C1911yescharacteristic
1239C2×M16C23×C1911yescharacteristic
1240C2×M16C23×C1911yescharacteristic, complemented
1241C2×M16C23×C1911yescharacteristic, complemented
1242C22×C8C23×C1911yescharacteristic
1243C22×C8C23×C1911yescharacteristic
1244C22×C8C23×C1911yescharacteristic, complemented
1245C22×C8C23×C1911yescharacteristic, complemented
1246C4⋊Q8—21no—
1247C4⋊Q8—21no—
1248C4⋊Q8C23×C1911yescharacteristic, complemented
1249C4⋊Q8C23×C1911yescharacteristic, complemented
1250#127—21no—
1251#127C23×C1911yescharacteristic
1252#127C23×C1911yescharacteristic
1253#126—21no—
1254#126—21no—
1255#126—21no—
1256#126—21no—
1257#126—21no—
1258#126—21no—
1259#126—21no—
1260#125—21no—
1261#125—21no—
1262#125—21no—
1263#125—21no—
1264#125C23×C1911yescharacteristic, complemented
1265#124—21no—
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124C23×C1911yescharacteristic
1272#124C23×C1911yescharacteristic
1273#124C23×C1911yescharacteristic, complemented
1274#123—21no—
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⋊Q8—21no—
1296C22⋊Q8—21no—
1297C22⋊Q8—21no—
1298C22⋊Q8—21no—
1299C22⋊Q8D4×C1911yescharacteristic
1300C22⋊Q8D4×C1911yescharacteristic
1301C22⋊Q8C23×C1911yescharacteristic
1302C22⋊Q8C23×C1911yescharacteristic
1303C22⋊Q8C23×C1911yescharacteristic
1304C22⋊Q8C23×C1911yescharacteristic
1305C22⋊Q8C23×C1911yescharacteristic
1306C22⋊Q8C23×C1911yescharacteristic
1307C22⋊Q8C23×C1911yescharacteristic
1308C22⋊Q8C23×C1911yescharacteristic
1309C22⋊Q8C23×C1911yescharacteristic, complemented
1310C22⋊Q8C23×C1911yescharacteristic, complemented
1311C22⋊Q8C23×C1911yescharacteristic, complemented
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#121D4×C1911yescharacteristic
1330#121D4×C1911yescharacteristic
1331#121C23×C1911yescharacteristic
1332#121C23×C1911yescharacteristic
1333#121C23×C1911yescharacteristic
1334#121C23×C1911yescharacteristic
1335#121C23×C1911yescharacteristic
1336#121C23×C1911yescharacteristic
1337#121C23×C1911yescharacteristic
1338#121C23×C1911yescharacteristic
1339#121C23×C1911yescharacteristic, complemented
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
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#120D4×C1911yescharacteristic
1359#120D4×C1911yescharacteristic
1360C4×Q8—21no—
1361C4×Q8C23×C1911yescharacteristic, complemented
1362C4×Q8C23×C1911yescharacteristic, complemented
1363C4×Q8C23×C1911yescharacteristic, complemented
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—21no—
1370C4×D4—21no—
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4C23×C1911yescharacteristic
1376C4×D4C23×C1911yescharacteristic
1377C4×D4C23×C1911yescharacteristic
1378C4×D4C23×C1911yescharacteristic
1379C4×D4C23×C1911yescharacteristic
1380C4×D4C23×C1911yescharacteristic
1381C4×D4C23×C1911yescharacteristic
1382C4×D4C23×C1911yescharacteristic
1383C4×D4C23×C1911yescharacteristic, complemented
1384#117—21no—
1385#117C23×C1911yescharacteristic
1386#117C23×C1911yescharacteristic
1387#117C23×C1911yescharacteristic
1388#117C23×C1911yescharacteristic, complemented
1389C2×C4⋊C4—21no—
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4C23×C1911yescharacteristic
1392C2×C4⋊C4C23×C1911yescharacteristic, complemented
1393C2×C22⋊C4—21no—
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—21no—
1396C2×C22⋊C4—21no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—21no—
1400#107C23×C1911yescharacteristic, complemented
1401#107C23×C1911yescharacteristic, complemented
1402#107C23×C1911yescharacteristic, complemented
1403#107C23×C1911yescharacteristic, complemented
1404#106C23×C1911yescharacteristic, complemented
1405#106C23×C1911yescharacteristic, complemented
1406#106C23×C1911yescharacteristic, complemented
1407#106C23×C1911yescharacteristic, complemented
1408C4⋊C8C23×C1911yescharacteristic, complemented
1409C4⋊C8C23×C1911yescharacteristic, complemented
1410C4⋊C8C23×C1911yescharacteristic, complemented
1411C4⋊C8C23×C1911yescharacteristic, complemented
1412#103C23×C1911yescharacteristic, complemented
1413#103C23×C1911yescharacteristic, complemented
1414#103C23×C1911yescharacteristic, complemented
1415#103C23×C1911yescharacteristic, complemented
1416#103C23×C1911yescharacteristic, complemented
1417#103C23×C1911yescharacteristic, complemented
1418#103C23×C1911yescharacteristic, complemented
1419#103C23×C1911yescharacteristic, complemented
1420#103C23×C1911yescharacteristic, complemented
1421#103C23×C1911yescharacteristic, complemented
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
1433#102C23×C1911yescharacteristic
1434#102C23×C1911yescharacteristic
1435#102C23×C1911yescharacteristic
1436#102C23×C1911yescharacteristic
1437#102C23×C1911yescharacteristic
1438#102C23×C1911yescharacteristic, complemented
1439#102C23×C1911yescharacteristic, complemented
1440#102C23×C1911yescharacteristic, complemented
1441#102C23×C1911yescharacteristic, complemented
1442#102C23×C1911yescharacteristic, complemented
1443#102C23×C1911yescharacteristic, complemented
1444C22⋊C8C23×C1911yescharacteristic
1445C22⋊C8C23×C1911yescharacteristic
1446C22⋊C8C23×C1911yescharacteristic
1447C22⋊C8C23×C1911yescharacteristic
1448C22⋊C8C23×C1911yescharacteristic
1449C22⋊C8C23×C1911yescharacteristic
1450C22⋊C8C23×C1911yescharacteristic
1451C22⋊C8C23×C1911yescharacteristic
1452C22⋊C8C23×C1911yescharacteristic, complemented
1453C22⋊C8C23×C1911yescharacteristic, complemented
1454C22⋊C8C23×C1911yescharacteristic, complemented
1455C22⋊C8C23×C1911yescharacteristic, complemented
1456#97C23×C1911yescharacteristic, complemented
1457#97C23×C1911yescharacteristic, complemented
1458C4×C8C23×C1911yescharacteristic, complemented
1459C4×C8C23×C1911yescharacteristic, complemented
1460C19#6161011yescharacteristic, direct product factor, Sylow
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—21no—
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—44no—
1470C24—82no—
1471C24—82no—
1472C24C2×D4×C1911yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—44no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—21no—
1489C2×Q8—41no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—41no—
1493C2×Q8C2×D4×C1911yescharacteristic
1494C2×Q8C24×C1911yescharacteristic
1495C2×Q8C24×C1911yescharacteristic
1496C2×Q8C24×C1911yescharacteristic
1497C2×Q8C24×C1911yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—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—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—82no—
1548C2×D4—82no—
1549C2×D4—82no—
1550C2×D4C2×D4×C1911yescharacteristic
1551C2×D4C2×D4×C1911yescharacteristic
1552C2×D4C2×D4×C1911yescharacteristic
1553C2×D4C2×D4×C1911yescharacteristic
1554C2×D4C2×D4×C1911yescharacteristic
1555C2×D4C2×D4×C1911yescharacteristic
1556C2×D4C2×D4×C1911yescharacteristic
1557C2×D4C24×C1911yescharacteristic
1558C2×D4C24×C1911yescharacteristic
1559C2×D4C24×C1911yescharacteristic
1560C2×D4C24×C1911yescharacteristic
1561C2×D4C24×C1911yescharacteristic
1562C2×D4C24×C1911yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4C2×D4×C1911yescharacteristic
1580C22×C4C2×D4×C1911yescharacteristic
1581C22×C4C2×D4×C1911yescharacteristic
1582C22×C4C24×C1911yescharacteristic
1583C22×C4C24×C1911yescharacteristic
1584C22×C4C24×C1911yescharacteristic
1585C22×C4C24×C1911yescharacteristic
1586C22×C4C24×C1911yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—41no—
1590SD16—22no—
1591SD16—22no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—41no—
1600SD16—41no—
1601SD16—41no—
1602SD16—41no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—41no—
1610D8—41no—
1611M16—41no—
1612M16—41no—
1613M16—41no—
1614M16—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8C24×C1911yescharacteristic
1620C2×C8C24×C1911yescharacteristic
1621C2×C8C24×C1911yescharacteristic
1622C2×C8C24×C1911yescharacteristic
1623C2×C8C24×C1911yescharacteristic
1624C2×C8C24×C1911yescharacteristic
1625C2×C8C24×C1911yescharacteristic
1626C2×C8C24×C1911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—21no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4C2×D4×C1911yescharacteristic
1649C4⋊C4C2×D4×C1911yescharacteristic
1650C4⋊C4C2×D4×C1911yescharacteristic
1651C4⋊C4C2×D4×C1911yescharacteristic
1652C4⋊C4C2×D4×C1911yescharacteristic
1653C4⋊C4C2×D4×C1911yescharacteristic
1654C4⋊C4C24×C1911yescharacteristic
1655C4⋊C4C24×C1911yescharacteristic
1656C4⋊C4C24×C1911yescharacteristic
1657C4⋊C4C24×C1911yescharacteristic
1658C4⋊C4C24×C1911yescharacteristic
1659C4⋊C4C24×C1911yescharacteristic
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⋊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⋊C4C2×D4×C1911yescharacteristic
1695C22⋊C4C2×D4×C1911yescharacteristic
1696C22⋊C4C2×D4×C1911yescharacteristic
1697C22⋊C4C2×D4×C1911yescharacteristic
1698C22⋊C4C2×D4×C1911yescharacteristic
1699C22⋊C4C2×D4×C1911yescharacteristic
1700C22⋊C4C2×D4×C1911yescharacteristic
1701C22⋊C4C2×D4×C1911yescharacteristic
1702C22⋊C4C2×D4×C1911yescharacteristic
1703C22⋊C4C2×D4×C1911yescharacteristic
1704C42—21no—
1705C42—21no—
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—21no—
1710C42C24×C1911yescharacteristic
1711C42C24×C1911yescharacteristic
1712C23—24no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—41no—
1721C23—41no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
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—
1745C23—816no—
1746C23C22×D4×C1911yescharacteristic
1747C23C22×D4×C1911yescharacteristic
1748C23C22×D4×C1911yescharacteristic
1749C23C22×D4×C1911yescharacteristic
1750C23C22×D4×C1911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—21no—
1757Q8—21no—
1758Q8—21no—
1759Q8—41no—
1760Q8—81no—
1761Q8—81no—
1762Q8—81no—
1763D4—24no—
1764D4—22no—
1765D4—22no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—41no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4C19×H(5,𝔽2)12yes—
1807D4C19×H(5,𝔽2)12yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
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—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4C22×D4×C1911yescharacteristic
1846C2×C4C22×D4×C1911yescharacteristic
1847C2×C4C22×D4×C1911yescharacteristic
1848C2×C4C22×D4×C1911yescharacteristic
1849C2×C4C22×D4×C1911yescharacteristic
1850C2×C4C22×D4×C1911yescharacteristic
1851C2×C4C22×D4×C1911yescharacteristic
1852C2×C4C22×D4×C1911yescharacteristic
1853C2×C4C22×D4×C1911yescharacteristic
1854C2×C4C25×C1911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—21no—
1860C8—21no—
1861C8—21no—
1862C8—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—22no—
1870C22—22no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—84no—
1897C22—84no—
1898C22—84no—
1899C22—84no—
1900C22—84no—
1901C22—84no—
1902C22—162no—
1903C22—162no—
1904C22C19×#57712yes—
1905C22C23×D4×C1911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4C2×C19×H(5,𝔽2)11yescharacteristic
1926C4C2×C19×H(5,𝔽2)11yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—81no—
1938C2C19×#348411yescharacteristic
1939C2C2×C19×#57711yescharacteristic
1940C2C19×#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×#3541C2semidirect
2. C19×#3484C2semidirect
3. C19×#3324C2semidirect
4. C19×#3323C2semidirect
5. C19×#3318C2semidirect
6. C19×#3314C2semidirect
7. C19×#3311C2semidirect
8. C19×#3310C2semidirect
9. C19×#3297C2semidirect
10. C19×#3295C2semidirect
11. C19×#3282C2semidirect
12. D4×SD16×C19C2semidirect
13. C19×#3275C2semidirect
14. C19×#3272C2semidirect
15. C19×#3267C2semidirect
16. C19×#3266C2semidirect
17. C19×#3265C2semidirect
18. C19×#3265C2semidirect
19. C19×#3224C2semidirect
20. C19×#3222C2semidirect
21. C19×#3200C2semidirect
22. C19×#3198C2semidirect
23. C19×#3196C2semidirect
24. C19×#3191C2semidirect
25. C19×#3123C2semidirect
26. C19×#3118C2semidirect
27. C19×#3012C2semidirect
28. C19×#3009C2semidirect
29. C19×#3003C2semidirect
30. C2×C19×#450C2semidirect
31. C19×#2976C2semidirect
34. C2×C19×#137C22semidirect
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. C22×SD16×C19C22semidirect
40. C22×SD16×C19C22semidirect
41. C22×SD16×C19C22semidirect
44. C19×#556C22semidirect
46. C19×#554C22semidirect
48. C19×#553C22semidirect
49. C19×#552C22semidirect
50. D4×Q8×C19C22semidirect
51. C19×#548C22semidirect
52. C19×#548C22semidirect
53. C19×#547C22semidirect
67. C19×#542C22semidirect
68. C19×#541C22semidirect
72. C19×#537C22semidirect
73. C19×#536C22semidirect
80. C19×#525C22semidirect
81. C2×C19×C22⋊Q8C22semidirect
85. C19×#497C22semidirect
86. C19×#496C22semidirect
87. C19×#495C22semidirect
88. C19×#492C22semidirect
89. C19×#490C22semidirect
90. C19×#489C22semidirect
91. C19×#488C22semidirect
92. C19×#486C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#484C22semidirect
98. C19×#482C22semidirect
99. C19×#482C22semidirect
100. C19×#482C22semidirect
101. C19×#482C22semidirect
102. C19×#481C22semidirect
103. C19×#481C22semidirect
104. C19×#480C22semidirect
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×#464C22semidirect
127. C19×#464C22semidirect
128. C19×#463C22semidirect
129. C19×#463C22semidirect
130. C19×#463C22semidirect
131. C19×#461C22semidirect
132. C19×#461C22semidirect
133. C19×#460C22semidirect
134. C19×#460C22semidirect
135. C19×#460C22semidirect
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
148. C19×#450C22semidirect
149. C19×#450C22semidirect
150. C19×#450C22semidirect
151. C19×#450C22semidirect
152. C19×#450C22semidirect
153. C19×#450C22semidirect
154. C19×#450C22semidirect
155. C19×#450C22semidirect
156. C19×#450C22semidirect
157. C19×#450C22semidirect
158. C19×#450C22semidirect
159. C19×#450C22semidirect
160. C19×#449C22semidirect
161. C19×#449C22semidirect
162. C19×#449C22semidirect
163. C19×#449C22semidirect
164. C19×#449C22semidirect
165. C19×#448C22semidirect
166. C19×#448C22semidirect
167. C19×#448C22semidirect
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×SD16×C19C22semidirect
178. C4×SD16×C19C22semidirect
179. C4×SD16×C19C22semidirect
180. C4×D8×C19C22semidirect
181. C19×#436C22semidirect
182. C19×#436C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C19×#435C22semidirect
186. C19×#435C22semidirect
187. C8×D4×C19C22semidirect
188. C8×D4×C19C22semidirect
189. C19×#433C22semidirect
190. C19×#433C22semidirect
191. C19×#418C22semidirect
192. C19×#418C22semidirect
193. C19×#418C22semidirect
194. C19×#417C22semidirect
195. C19×#416C22semidirect
196. C2×C19×#102C22semidirect
197. C2×C19×#102C22semidirect
198. C2×C19×#102C22semidirect
199. C19×#408C22semidirect
200. C19×#408C22semidirect
201. C19×#407C22semidirect
202. C2×C19×C22⋊C8C22semidirect
212. C2×#41×C19C23semidirect
214. C22×Q8×C19C23semidirect
241. C2×Q16×C19C23semidirect
242. C2×Q16×C19C23semidirect
243. C2×Q16×C19C23semidirect
259. C2×SD16×C19C23semidirect
260. C2×SD16×C19C23semidirect
261. C2×SD16×C19C23semidirect
262. C2×SD16×C19C23semidirect
267. C2×D8×C19C23semidirect
270. C2×M16×C19C23semidirect
271. C2×M16×C19C23semidirect
274. C22×C8×C19C23semidirect
275. C22×C8×C19C23semidirect
278. C19×C4⋊Q8C23semidirect
279. C19×C4⋊Q8C23semidirect
294. C19×#125C23semidirect
303. C19×#124C23semidirect
339. C19×C22⋊Q8C23semidirect
340. C19×C22⋊Q8C23semidirect
341. C19×C22⋊Q8C23semidirect
369. C19×#121C23semidirect
391. C4×Q8×C19C23semidirect
392. C4×Q8×C19C23semidirect
393. C4×Q8×C19C23semidirect
413. C4×D4×C19C23semidirect
418. C19×#117C23semidirect
422. C2×C4⋊C4×C19C23semidirect
430. C19×#107C23semidirect
431. C19×#107C23semidirect
432. C19×#107C23semidirect
433. C19×#107C23semidirect
434. C19×#106C23semidirect
435. C19×#106C23semidirect
436. C19×#106C23semidirect
437. C19×#106C23semidirect
438. C19×C4⋊C8C23semidirect
439. C19×C4⋊C8C23semidirect
440. C19×C4⋊C8C23semidirect
441. C19×C4⋊C8C23semidirect
442. C19×#103C23semidirect
443. C19×#103C23semidirect
444. C19×#103C23semidirect
445. C19×#103C23semidirect
446. C19×#103C23semidirect
447. C19×#103C23semidirect
448. C19×#103C23semidirect
449. C19×#103C23semidirect
450. C19×#103C23semidirect
451. C19×#103C23semidirect
468. C19×#102C23semidirect
469. C19×#102C23semidirect
470. C19×#102C23semidirect
471. C19×#102C23semidirect
472. C19×#102C23semidirect
473. C19×#102C23semidirect
482. C19×C22⋊C8C23semidirect
483. C19×C22⋊C8C23semidirect
484. C19×C22⋊C8C23semidirect
485. C19×C22⋊C8C23semidirect
486. C19×#97C23semidirect
487. C19×#97C23semidirect
488. C4×C8×C19C23semidirect
489. C4×C8×C19C23semidirect
741. #61610C19direct (N × H)
893. #3541C2×C19semidirect
894. #3484C2×C19semidirect
895. #3324C2×C19semidirect
896. #3323C2×C19semidirect
897. #3318C2×C19semidirect
898. #3314C2×C19semidirect
899. #3311C2×C19semidirect
900. #3310C2×C19semidirect
901. #3297C2×C19semidirect
902. #3295C2×C19semidirect
903. #3282C2×C19semidirect
904. D4×SD16C2×C19semidirect
905. #3275C2×C19semidirect
906. #3272C2×C19semidirect
907. #3267C2×C19semidirect
908. #3266C2×C19semidirect
909. #3265C2×C19semidirect
910. #3265C2×C19semidirect
911. #3224C2×C19semidirect
912. #3222C2×C19semidirect
913. #3200C2×C19semidirect
914. #3198C2×C19semidirect
915. #3196C2×C19semidirect
916. #3191C2×C19semidirect
917. #3123C2×C19semidirect
918. #3118C2×C19semidirect
919. #3012C2×C19semidirect
920. #3009C2×C19semidirect
921. #3003C2×C19semidirect
922. C2×#450C2×C19semidirect
923. #2976C2×C19semidirect
990. C2×#137C22×C19semidirect
991. C2×AGL(1,ℤ/8)C22×C19semidirect
992. C2×AGL(1,ℤ/8)C22×C19semidirect
993. C2×AGL(1,ℤ/8)C22×C19semidirect
994. C2×#135C22×C19semidirect
995. C22×SD16C22×C19semidirect
996. C22×SD16C22×C19semidirect
997. C22×SD16C22×C19semidirect
1000. #556C22×C19semidirect
1002. #554C22×C19semidirect
1004. #553C22×C19semidirect
1005. #552C22×C19semidirect
1006. D4×Q8C22×C19semidirect
1007. #548C22×C19semidirect
1008. #548C22×C19semidirect
1009. #547C22×C19semidirect
1023. #542C22×C19semidirect
1024. #541C22×C19semidirect
1028. #537C22×C19semidirect
1029. #536C22×C19semidirect
1036. #525C22×C19semidirect
1037. C2×C22⋊Q8C22×C19semidirect
1041. #497C22×C19semidirect
1042. #496C22×C19semidirect
1043. #495C22×C19semidirect
1044. #492C22×C19semidirect
1045. #490C22×C19semidirect
1046. #489C22×C19semidirect
1047. #488C22×C19semidirect
1048. #486C22×C19semidirect
1049. #485C22×C19semidirect
1050. #485C22×C19semidirect
1051. #485C22×C19semidirect
1052. #485C22×C19semidirect
1053. #484C22×C19semidirect
1054. #482C22×C19semidirect
1055. #482C22×C19semidirect
1056. #482C22×C19semidirect
1057. #482C22×C19semidirect
1058. #481C22×C19semidirect
1059. #481C22×C19semidirect
1060. #480C22×C19semidirect
1061. #478C22×C19semidirect
1062. #478C22×C19semidirect
1063. #476C22×C19semidirect
1064. #474C22×C19semidirect
1065. #470C22×C19semidirect
1066. #470C22×C19semidirect
1067. #469C22×C19semidirect
1068. #468C22×C19semidirect
1069. #468C22×C19semidirect
1070. #468C22×C19semidirect
1071. #468C22×C19semidirect
1072. #468C22×C19semidirect
1073. #467C22×C19semidirect
1074. #466C22×C19semidirect
1075. #466C22×C19semidirect
1076. #465C22×C19semidirect
1077. #465C22×C19semidirect
1078. #465C22×C19semidirect
1079. #465C22×C19semidirect
1080. #465C22×C19semidirect
1081. #464C22×C19semidirect
1082. #464C22×C19semidirect
1083. #464C22×C19semidirect
1084. #463C22×C19semidirect
1085. #463C22×C19semidirect
1086. #463C22×C19semidirect
1087. #461C22×C19semidirect
1088. #461C22×C19semidirect
1089. #460C22×C19semidirect
1090. #460C22×C19semidirect
1091. #460C22×C19semidirect
1092. #459C22×C19semidirect
1093. #452C22×C19semidirect
1094. #452C22×C19semidirect
1095. #452C22×C19semidirect
1096. #452C22×C19semidirect
1097. #452C22×C19semidirect
1098. #452C22×C19semidirect
1099. #452C22×C19semidirect
1100. #451C22×C19semidirect
1104. #450C22×C19semidirect
1105. #450C22×C19semidirect
1106. #450C22×C19semidirect
1107. #450C22×C19semidirect
1108. #450C22×C19semidirect
1109. #450C22×C19semidirect
1110. #450C22×C19semidirect
1111. #450C22×C19semidirect
1112. #450C22×C19semidirect
1113. #450C22×C19semidirect
1114. #450C22×C19semidirect
1115. #450C22×C19semidirect
1116. #449C22×C19semidirect
1117. #449C22×C19semidirect
1118. #449C22×C19semidirect
1119. #449C22×C19semidirect
1120. #449C22×C19semidirect
1121. #448C22×C19semidirect
1122. #448C22×C19semidirect
1123. #448C22×C19semidirect
1125. #447C22×C19semidirect
1126. #447C22×C19semidirect
1127. #447C22×C19semidirect
1128. #447C22×C19semidirect
1129. #442C22×C19semidirect
1130. #440C22×C19semidirect
1131. #440C22×C19semidirect
1132. #440C22×C19semidirect
1133. C4×SD16C22×C19semidirect
1134. C4×SD16C22×C19semidirect
1135. C4×SD16C22×C19semidirect
1136. C4×D8C22×C19semidirect
1137. #436C22×C19semidirect
1138. #436C22×C19semidirect
1139. #435C22×C19semidirect
1140. #435C22×C19semidirect
1141. #435C22×C19semidirect
1142. #435C22×C19semidirect
1143. C8×D4C22×C19semidirect
1144. C8×D4C22×C19semidirect
1145. #433C22×C19semidirect
1146. #433C22×C19semidirect
1147. #418C22×C19semidirect
1148. #418C22×C19semidirect
1149. #418C22×C19semidirect
1150. #417C22×C19semidirect
1151. #416C22×C19semidirect
1152. C2×#102C22×C19semidirect
1153. C2×#102C22×C19semidirect
1154. C2×#102C22×C19semidirect
1155. #408C22×C19semidirect
1156. #408C22×C19semidirect
1157. #407C22×C19semidirect
1158. C2×C22⋊C8C22×C19semidirect
1182. C2×#41C23×C19semidirect
1184. C22×Q8C23×C19semidirect
1211. C2×Q16C23×C19semidirect
1212. C2×Q16C23×C19semidirect
1213. C2×Q16C23×C19semidirect
1229. C2×SD16C23×C19semidirect
1230. C2×SD16C23×C19semidirect
1231. C2×SD16C23×C19semidirect
1232. C2×SD16C23×C19semidirect
1237. C2×D8C23×C19semidirect
1240. C2×M16C23×C19semidirect
1241. C2×M16C23×C19semidirect
1244. C22×C8C23×C19semidirect
1245. C22×C8C23×C19semidirect
1248. C4⋊Q8C23×C19semidirect
1249. C4⋊Q8C23×C19semidirect
1264. #125C23×C19semidirect
1273. #124C23×C19semidirect
1309. C22⋊Q8C23×C19semidirect
1310. C22⋊Q8C23×C19semidirect
1311. C22⋊Q8C23×C19semidirect
1339. #121C23×C19semidirect
1361. C4×Q8C23×C19semidirect
1362. C4×Q8C23×C19semidirect
1363. C4×Q8C23×C19semidirect
1383. C4×D4C23×C19semidirect
1388. #117C23×C19semidirect
1392. C2×C4⋊C4C23×C19semidirect
1400. #107C23×C19semidirect
1401. #107C23×C19semidirect
1402. #107C23×C19semidirect
1403. #107C23×C19semidirect
1404. #106C23×C19semidirect
1405. #106C23×C19semidirect
1406. #106C23×C19semidirect
1407. #106C23×C19semidirect
1408. C4⋊C8C23×C19semidirect
1409. C4⋊C8C23×C19semidirect
1410. C4⋊C8C23×C19semidirect
1411. C4⋊C8C23×C19semidirect
1412. #103C23×C19semidirect
1413. #103C23×C19semidirect
1414. #103C23×C19semidirect
1415. #103C23×C19semidirect
1416. #103C23×C19semidirect
1417. #103C23×C19semidirect
1418. #103C23×C19semidirect
1419. #103C23×C19semidirect
1420. #103C23×C19semidirect
1421. #103C23×C19semidirect
1438. #102C23×C19semidirect
1439. #102C23×C19semidirect
1440. #102C23×C19semidirect
1441. #102C23×C19semidirect
1442. #102C23×C19semidirect
1443. #102C23×C19semidirect
1452. C22⋊C8C23×C19semidirect
1453. C22⋊C8C23×C19semidirect
1454. C22⋊C8C23×C19semidirect
1455. C22⋊C8C23×C19semidirect
1456. #97C23×C19semidirect
1457. #97C23×C19semidirect
1458. C4×C8C23×C19semidirect
1459. C4×C8C23×C19semidirect
1460. C19#61610direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35412
C19×#34842
C19×#33242
C19×#33232
C19×#33182
C19×#33142
C19×#33112
C19×#33102
C19×#32972
C19×#32952
C19×#32822
D4×SD16×C192
C19×#32752
C19×#32722
C19×#32672
C19×#32662
C19×#32652
C19×#32242
C19×#32222
C19×#32002
C19×#31982
C19×#31962
C19×#31912
C19×#31232
C19×#31182
C19×#30122
C19×#30092
C19×#30032
C2×C19×#4502
C19×#29762
#6161019