Finite Group Databasebeta

← C19×#62224 #18068183

Subgroups — C19×#62224 #18068183

Order 4864.

1698 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3565C211yesmaximal, characteristic, complemented
2C19×#3520C211yesmaximal, characteristic, complemented
3C19×#3386C211yesmaximal, characteristic, complemented
4C19×#3384C211yesmaximal, characteristic, complemented
5C19×#3377C211yesmaximal, characteristic, complemented
6C19×#3376C211yesmaximal, characteristic, complemented
7C19×#3357C211yesmaximal, characteristic, complemented
8C19×#3356C211yesmaximal, characteristic, complemented
9C19×#3346C211yesmaximal, characteristic, complemented
10C19×#3345C211yesmaximal, characteristic, complemented
11C19×#3344C211yesmaximal, characteristic, complemented
12C19×#3343C211yesmaximal, characteristic, complemented
13C19×#3323C211yesmaximal, characteristic, complemented
14C19×#3322C211yesmaximal, characteristic, complemented
15C19×#3319C211yesmaximal, characteristic, complemented
16C19×#3315C211yesmaximal, characteristic, complemented
17C19×#3311C211yesmaximal, characteristic, complemented
18C19×#3307C211yesmaximal, characteristic, complemented
19C19×#3263C211yesmaximal, characteristic, complemented
20C19×#3262C211yesmaximal, characteristic, complemented
21C19×#3252C211yesmaximal, characteristic, complemented
22C19×#3244C211yesmaximal, characteristic, complemented
23C19×#3243C211yesmaximal, characteristic, complemented
24C19×#3237C211yesmaximal, characteristic, complemented
25C19×#3125C211yesmaximal, characteristic, complemented
26C19×#3124C211yesmaximal, characteristic, complemented
27C19×#3114C211yesmaximal, characteristic, complemented
28C19×#3084C211yesmaximal, characteristic, complemented
29C19×#3083C211yesmaximal, characteristic, complemented
30C19×#3077C211yesmaximal, characteristic, complemented
31C19×#2995C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#562—21no—
34C19×#557C2211yescharacteristic, complemented
35C19×#556—21no—
36C19×#556C2211yescharacteristic
37C19×#556C2211yescharacteristic
38C19×#555C2211yescharacteristic
39C19×#554C2211yescharacteristic
40C19×#554C2211yescharacteristic
41C19×#554C2211yescharacteristic, complemented
42C19×#553C2211yescharacteristic
43C19×#553C2211yescharacteristic, complemented
44C19×#552—21no—
45C19×#552—21no—
46C19×#552C2211yescharacteristic
47C19×#552C2211yescharacteristic, complemented
48C19×#551—21no—
49C19×#551—21no—
50D4×Q8×C19C2211yescharacteristic
51C19×#548—21no—
52C19×#547C2211yescharacteristic
53C19×#547C2211yescharacteristic
54C19×#546C2211yescharacteristic
55C19×#546C2211yescharacteristic
56C19×#544C2211yescharacteristic, complemented
57C19×#544C2211yescharacteristic, complemented
58C19×#542—21no—
59C19×#542—21no—
60C19×#542C2211yescharacteristic
61C19×#542C2211yescharacteristic
62C19×#542C2211yescharacteristic, complemented
63C19×#542C2211yescharacteristic, complemented
64C19×#541—21no—
65C19×#539—21no—
66C19×#539—21no—
67C19×#539—21no—
68C19×#533C2211yescharacteristic
69C19×#533C2211yescharacteristic
70C19×#529C2211yescharacteristic
71C19×#529C2211yescharacteristic
72C19×#525—21no—
73C2×C19×C22⋊Q8—21no—
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic
76C2×C4×D4×C19C2211yescharacteristic
77C19×#501C2211yescharacteristic, complemented
78C19×#501C2211yescharacteristic, complemented
79C19×#501C2211yescharacteristic, complemented
80C19×#501C2211yescharacteristic, complemented
81C19×#500C2211yescharacteristic, complemented
82C19×#498C2211yescharacteristic, complemented
83C19×#491C2211yescharacteristic, complemented
84C19×#491C2211yescharacteristic, complemented
85C19×#489C2211yescharacteristic
86C19×#489C2211yescharacteristic
87C19×#488C2211yescharacteristic
88C19×#488C2211yescharacteristic
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic, complemented
96C19×#484C2211yescharacteristic, complemented
97C19×#483C2211yescharacteristic
98C19×#483C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic, complemented
100C19×#482C2211yescharacteristic
101C19×#482C2211yescharacteristic
102C19×#481C2211yescharacteristic
103C19×#481C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic
105C19×#480C2211yescharacteristic
106C19×#480C2211yescharacteristic, complemented
107C19×#479C2211yescharacteristic, complemented
108C19×#479C2211yescharacteristic, complemented
109C19×#479C2211yescharacteristic, complemented
110C19×#479C2211yescharacteristic, complemented
111C19×#478C2211yescharacteristic
112C19×#478C2211yescharacteristic
113C19×#478C2211yescharacteristic
114C19×#478C2211yescharacteristic
115C19×#478C2211yescharacteristic
116C19×#478C2211yescharacteristic
117C19×#478C2211yescharacteristic
118C19×#478C2211yescharacteristic
119C19×#477C2211yescharacteristic, complemented
120C19×#477C2211yescharacteristic, complemented
121C19×#477C2211yescharacteristic, complemented
122C19×#477C2211yescharacteristic, complemented
123C19×#477C2211yescharacteristic, complemented
124C19×#476C2211yescharacteristic
125C19×#476C2211yescharacteristic
126C19×#476C2211yescharacteristic
127C19×#476C2211yescharacteristic, complemented
128C19×#476C2211yescharacteristic, complemented
129C19×#475C2211yescharacteristic, complemented
130C19×#475C2211yescharacteristic, complemented
131C19×#475C2211yescharacteristic, complemented
132C19×#475C2211yescharacteristic, complemented
133C19×#474C2211yescharacteristic
134C19×#474C2211yescharacteristic
135C19×#474C2211yescharacteristic
136C19×#474C2211yescharacteristic, complemented
137C19×#470C2211yescharacteristic
138C19×#470C2211yescharacteristic
139C19×#470C2211yescharacteristic, complemented
140C19×#469C2211yescharacteristic
141C19×#468C2211yescharacteristic
142C19×#468C2211yescharacteristic
143C19×#468C2211yescharacteristic
144C19×#468C2211yescharacteristic, complemented
145C19×#467C2211yescharacteristic, complemented
146C19×#466C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#464C2211yescharacteristic, complemented
152C19×#464C2211yescharacteristic, complemented
153C19×#463C2211yescharacteristic
154C19×#463C2211yescharacteristic
155C19×#463C2211yescharacteristic
156C19×#463C2211yescharacteristic
157C19×#462C2211yescharacteristic, complemented
158C19×#461C2211yescharacteristic, complemented
159C19×#452C2211yescharacteristic
160C19×#452C2211yescharacteristic
161C19×#450C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#449C2211yescharacteristic
164C19×#447C2211yescharacteristic
165C19×#446C2211yescharacteristic, complemented
166C19×#446C2211yescharacteristic, complemented
167C19×#442C2211yescharacteristic
168C19×#442C2211yescharacteristic
169C19×#442C2211yescharacteristic
170C19×#441C2211yescharacteristic, complemented
171C19×#440C2211yescharacteristic
172C19×#440C2211yescharacteristic
173C19×#440C2211yescharacteristic
174C19×#440C2211yescharacteristic, complemented
175C4×Q16×C19C2211yescharacteristic, complemented
176C4×SD16×C19C2211yescharacteristic
177C4×SD16×C19C2211yescharacteristic, complemented
178C4×D8×C19C2211yescharacteristic
179C19×#436C2211yescharacteristic
180C19×#436C2211yescharacteristic
181C19×#435C2211yescharacteristic
182C19×#435C2211yescharacteristic
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C19×#433C2211yescharacteristic, complemented
186C19×#433C2211yescharacteristic, complemented
187C19×#432C2211yescharacteristic
188C19×#428C2211yescharacteristic
189C19×#428C2211yescharacteristic
190C19×#428C2211yescharacteristic, complemented
191C19×#428C2211yescharacteristic, complemented
192C2×C19×#107C2211yescharacteristic, complemented
193C2×C19×#106C2211yescharacteristic, complemented
194C19×#424C2211yescharacteristic, complemented
195C19×#424C2211yescharacteristic, complemented
196C19×#423C2211yescharacteristic
197C19×#418C2211yescharacteristic
198C19×#418C2211yescharacteristic
199C19×#417C2211yescharacteristic
200C19×#417C2211yescharacteristic
201C19×#416C2211yescharacteristic
202C19×#416C2211yescharacteristic
203C2×#41×C19—21no—
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C22×Q8×C19—21no—
207C22×D4×C19C2311yescharacteristic
208C23×C4×C19—21no—
209C2×Q16×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×SD16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×D8×C19C2311yescharacteristic
216C2×D8×C19C2311yescharacteristic
217C2×M16×C19C2311yescharacteristic
218C2×M16×C19C2311yescharacteristic
219C2×M16×C19C2311yescharacteristic
220C2×M16×C19C2311yescharacteristic
221C22×C8×C19C2311yescharacteristic
222C22×C8×C19C2311yescharacteristic
223C19×C4⋊Q8—21no—
224C19×C4⋊Q8—21no—
225C19×C4⋊Q8—21no—
226C19×C4⋊Q8C2311yescharacteristic
227C19×C4⋊Q8C2311yescharacteristic
228C19×C4⋊Q8C2311yescharacteristic
229C19×C4⋊Q8C2311yescharacteristic
230C19×C4⋊Q8C2311yescharacteristic
231C19×C4⋊Q8C2311yescharacteristic
232C19×C4⋊Q8C2311yescharacteristic
233C19×C4⋊Q8C2311yescharacteristic
234C19×#126—21no—
235C19×#126—21no—
236C19×#126—21no—
237C19×#126—21no—
238C19×#126—21no—
239C19×#126—21no—
240C19×#126—21no—
241C19×#126—21no—
242C19×#126—21no—
243C19×#126—21no—
244C19×#126—21no—
245C19×#126—21no—
246C19×#126—21no—
247C19×#126D411yescharacteristic
248C19×#126D411yescharacteristic
249C19×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125—21no—
253C19×#125—21no—
254C19×#125—21no—
255C19×#125—21no—
256C19×#125—21no—
257C19×#125—21no—
258C19×#125D411yescharacteristic
259C19×#125C2311yescharacteristic
260C19×#125C2311yescharacteristic
261C19×#125C2311yescharacteristic
262C19×#125C2311yescharacteristic
263C19×#125C2311yescharacteristic
264C19×#124—21no—
265C19×#124—21no—
266C19×#124—21no—
267C19×#124—21no—
268C19×#124—21no—
269C19×#124—21no—
270C19×#124—21no—
271C19×#124D411yescharacteristic
272C19×#124C2311yescharacteristic
273C19×#124C2311yescharacteristic
274C19×#124C2311yescharacteristic
275C19×#123—21no—
276C19×#123—21no—
277C19×#123—21no—
278C19×#123—21no—
279C19×#123—21no—
280C19×#123—21no—
281C19×#123—21no—
282C19×#123—21no—
283C19×#123—21no—
284C19×#123—21no—
285C19×#123—21no—
286C19×#123—21no—
287C19×#123—21no—
288C19×#123—21no—
289C19×#123—21no—
290C19×#123D411yescharacteristic
291C19×#123D411yescharacteristic
292C19×C22⋊Q8—21no—
293C19×C22⋊Q8—21no—
294C19×C22⋊Q8—21no—
295C19×C22⋊Q8—21no—
296C19×C22⋊Q8—21no—
297C19×C22⋊Q8—21no—
298C19×C22⋊Q8—21no—
299C19×C22⋊Q8—21no—
300C19×C22⋊Q8—21no—
301C19×C22⋊Q8—21no—
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8—21no—
306C19×C22⋊Q8—21no—
307C19×C22⋊Q8—21no—
308C19×C22⋊Q8—21no—
309C19×C22⋊Q8—21no—
310C19×C22⋊Q8—21no—
311C19×C22⋊Q8—21no—
312C19×C22⋊Q8—21no—
313C19×C22⋊Q8—21no—
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8D411yescharacteristic
316C19×C22⋊Q8C2311yescharacteristic
317C19×C22⋊Q8C2311yescharacteristic
318C19×C22⋊Q8C2311yescharacteristic
319C19×C22⋊Q8C2311yescharacteristic
320C19×C22⋊Q8C2311yescharacteristic
321C19×C22⋊Q8C2311yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×#121—21no—
324C19×#121—21no—
325C19×#121—21no—
326C19×#121—21no—
327C19×#121—21no—
328C19×#121—21no—
329C19×#121D411yescharacteristic
330C19×#121C2311yescharacteristic
331C19×#121C2311yescharacteristic
332C19×#121C2311yescharacteristic
333C19×#121C2311yescharacteristic
334C19×#121C2311yescharacteristic
335C19×#120—21no—
336C19×#120—21no—
337C4×Q8×C19—21no—
338C4×Q8×C19—21no—
339C4×Q8×C19—21no—
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
342C4×Q8×C19C2311yescharacteristic
343C4×Q8×C19C2311yescharacteristic
344C4×Q8×C19C2311yescharacteristic
345C4×Q8×C19C2311yescharacteristic
346C4×Q8×C19C2311yescharacteristic
347C4×Q8×C19C2311yescharacteristic
348C4×Q8×C19C2311yescharacteristic
349C4×Q8×C19C2311yescharacteristic
350C4×D4×C19—21no—
351C4×D4×C19—21no—
352C4×D4×C19—21no—
353C4×D4×C19—21no—
354C4×D4×C19—21no—
355C4×D4×C19—21no—
356C4×D4×C19—21no—
357C4×D4×C19—21no—
358C4×D4×C19—21no—
359C4×D4×C19—21no—
360C4×D4×C19—21no—
361C4×D4×C19C2311yescharacteristic
362C4×D4×C19C2311yescharacteristic
363C4×D4×C19C2311yescharacteristic
364C4×D4×C19C2311yescharacteristic
365C4×D4×C19C2311yescharacteristic
366C4×D4×C19C2311yescharacteristic
367C4×D4×C19C2311yescharacteristic
368C4×D4×C19C2311yescharacteristic
369C4×D4×C19C2311yescharacteristic
370C4×D4×C19C2311yescharacteristic
371C4×D4×C19C2311yescharacteristic
372C4×D4×C19C2311yescharacteristic
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117—21no—
378C19×#117—21no—
379C19×#117—21no—
380C19×#117—21no—
381C19×#117C2311yescharacteristic
382C19×#117C2311yescharacteristic
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C2×C4⋊C4×C19—21no—
388C2×C4⋊C4×C19—21no—
389C2×C4⋊C4×C19—21no—
390C2×C4⋊C4×C19—21no—
391C2×C4⋊C4×C19C2311yescharacteristic
392C2×C4⋊C4×C19C2311yescharacteristic
393C2×C4⋊C4×C19C2311yescharacteristic
394C2×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C22⋊C4×C19—21no—
397C2×C22⋊C4×C19—21no—
398C2×C22⋊C4×C19—21no—
399C2×C42×C19C2311yescharacteristic
400C19×#107C2311yescharacteristic
401C19×#107C2311yescharacteristic
402C19×#107C2311yescharacteristic
403C19×#107C2311yescharacteristic
404C19×#107C2311yescharacteristic
405C19×#107C2311yescharacteristic
406C19×#107C2311yescharacteristic
407C19×#107C2311yescharacteristic
408C19×#107C2311yescharacteristic
409C19×#107C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#106C2311yescharacteristic
413C19×#106C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×#106C2311yescharacteristic
419C19×#106C2311yescharacteristic
420C19×#106C2311yescharacteristic
421C19×#106C2311yescharacteristic
422C19×#106C2311yescharacteristic
423C19×#106C2311yescharacteristic
424C19×C4⋊C8C2311yescharacteristic
425C19×C4⋊C8C2311yescharacteristic
426C19×C4⋊C8C2311yescharacteristic
427C19×C4⋊C8C2311yescharacteristic
428C19×C4⋊C8C2311yescharacteristic
429C19×C4⋊C8C2311yescharacteristic
430C19×C4⋊C8C2311yescharacteristic
431C19×C4⋊C8C2311yescharacteristic
432C19×C4⋊C8C2311yescharacteristic
433C19×C4⋊C8C2311yescharacteristic
434C19×#103C2311yescharacteristic
435C19×#103C2311yescharacteristic
436C19×#103C2311yescharacteristic
437C19×#103C2311yescharacteristic
438C19×#103C2311yescharacteristic
439C19×#103C2311yescharacteristic
440C19×#103C2311yescharacteristic
441C19×#103C2311yescharacteristic
442C19×#103C2311yescharacteristic
443C19×#103C2311yescharacteristic
444C19×#103C2311yescharacteristic
445C19×#103C2311yescharacteristic
446C19×#103C2311yescharacteristic
447C19×#103C2311yescharacteristic
448C19×#103C2311yescharacteristic
449C19×#103C2311yescharacteristic
450C19×#102C2311yescharacteristic
451C19×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
467C19×C22⋊C8C2311yescharacteristic
468C19×C22⋊C8C2311yescharacteristic
469C19×C22⋊C8C2311yescharacteristic
470C19×C22⋊C8C2311yescharacteristic
471C19×C22⋊C8C2311yescharacteristic
472C19×#97C2311yescharacteristic
473C19×#97C2311yescharacteristic
474C19×#97C2311yescharacteristic
475C19×#97C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478C24×C19—21no—
479#41×C19—22no—
480#41×C19—22no—
481#41×C19—41no—
482#41×C19—41no—
483#41×C19—82no—
484C2×Q8×C19—21no—
485C2×Q8×C19—21no—
486C2×Q8×C19—21no—
487C2×Q8×C19—21no—
488C2×Q8×C19—21no—
489C2×Q8×C19—21no—
490C2×Q8×C19—21no—
491C2×Q8×C19—82no—
492C2×Q8×C19C2×D411yescharacteristic
493C2×Q8×C19C2411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×Q8×C19C2411yescharacteristic
496C2×D4×C19—22no—
497C2×D4×C19—21no—
498C2×D4×C19—21no—
499C2×D4×C19—21no—
500C2×D4×C19—21no—
501C2×D4×C19—21no—
502C2×D4×C19—21no—
503C2×D4×C19—21no—
504C2×D4×C19—21no—
505C2×D4×C19—41no—
506C2×D4×C19C2×D411yescharacteristic
507C2×D4×C19C2×D411yescharacteristic
508C2×D4×C19C2×D411yescharacteristic
509C2×D4×C19C2411yescharacteristic
510C2×D4×C19C2411yescharacteristic
511C2×D4×C19C2411yescharacteristic
512C22×C4×C19—21no—
513C22×C4×C19—21no—
514C22×C4×C19—21no—
515C22×C4×C19—21no—
516C22×C4×C19—21no—
517C22×C4×C19—21no—
518C22×C4×C19—21no—
519C22×C4×C19—21no—
520C22×C4×C19—21no—
521C22×C4×C19—21no—
522C22×C4×C19—21no—
523C22×C4×C19—21no—
524C22×C4×C19—21no—
525C22×C4×C19—21no—
526C22×C4×C19—21no—
527C22×C4×C19—21no—
528C22×C4×C19—82no—
529C22×C4×C19C2×D411yescharacteristic
530C22×C4×C19C2×D411yescharacteristic
531C22×C4×C19C2411yescharacteristic
532C22×C4×C19C2411yescharacteristic
533C22×C4×C19C2411yescharacteristic
534Q16×C19—41no—
535Q16×C19—41no—
536SD16×C19—22no—
537SD16×C19—41no—
538SD16×C19—41no—
539SD16×C19—41no—
540D8×C19—22no—
541D8×C19—41no—
542M16×C19—41no—
543M16×C19—41no—
544M16×C19—41no—
545M16×C19—41no—
546C2×C8×C19—41no—
547C2×C8×C19—41no—
548C2×C8×C19C2411yescharacteristic
549C2×C8×C19C2411yescharacteristic
550C2×C8×C19C2411yescharacteristic
551C2×C8×C19C2411yescharacteristic
552C2×C8×C19C2411yescharacteristic
553C2×C8×C19C2411yescharacteristic
554C2×C8×C19C2411yescharacteristic
555C2×C8×C19C2411yescharacteristic
556C4⋊C4×C19—21no—
557C4⋊C4×C19—21no—
558C4⋊C4×C19—21no—
559C4⋊C4×C19—21no—
560C4⋊C4×C19—21no—
561C4⋊C4×C19—21no—
562C4⋊C4×C19—21no—
563C4⋊C4×C19—21no—
564C4⋊C4×C19—21no—
565C4⋊C4×C19—21no—
566C4⋊C4×C19—21no—
567C4⋊C4×C19—21no—
568C4⋊C4×C19—21no—
569C4⋊C4×C19—21no—
570C4⋊C4×C19—21no—
571C4⋊C4×C19—21no—
572C4⋊C4×C19—21no—
573C4⋊C4×C19—21no—
574C4⋊C4×C19—21no—
575C4⋊C4×C19—21no—
576C4⋊C4×C19—21no—
577C4⋊C4×C19—21no—
578C4⋊C4×C19—21no—
579C4⋊C4×C19—21no—
580C4⋊C4×C19—21no—
581C4⋊C4×C19—21no—
582C4⋊C4×C19—21no—
583C4⋊C4×C19—21no—
584C4⋊C4×C19—21no—
585C4⋊C4×C19—21no—
586C4⋊C4×C19—21no—
587C4⋊C4×C19—21no—
588C4⋊C4×C19—21no—
589C4⋊C4×C19—21no—
590C4⋊C4×C19—21no—
591C4⋊C4×C19—21no—
592C4⋊C4×C19—21no—
593C4⋊C4×C19—21no—
594C4⋊C4×C19C2×D411yescharacteristic
595C4⋊C4×C19C2×D411yescharacteristic
596C4⋊C4×C19C2×D411yescharacteristic
597C4⋊C4×C19C2×D411yescharacteristic
598C4⋊C4×C19C2×D411yescharacteristic
599C4⋊C4×C19C2×D411yescharacteristic
600C4⋊C4×C19C2×D411yescharacteristic
601C4⋊C4×C19C2×D411yescharacteristic
602C4⋊C4×C19C2×D411yescharacteristic
603C4⋊C4×C19C2×D411yescharacteristic
604C4⋊C4×C19C2411yescharacteristic
605C4⋊C4×C19C2411yescharacteristic
606C4⋊C4×C19C2411yescharacteristic
607C4⋊C4×C19C2411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C4⋊C4×C19C2411yescharacteristic
610C4⋊C4×C19C2411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C22⋊C4×C19—21no—
615C22⋊C4×C19—21no—
616C22⋊C4×C19—21no—
617C22⋊C4×C19—21no—
618C22⋊C4×C19—21no—
619C22⋊C4×C19—21no—
620C22⋊C4×C19—21no—
621C22⋊C4×C19—21no—
622C22⋊C4×C19—21no—
623C22⋊C4×C19—21no—
624C22⋊C4×C19—21no—
625C22⋊C4×C19—21no—
626C22⋊C4×C19—21no—
627C22⋊C4×C19—21no—
628C22⋊C4×C19—21no—
629C22⋊C4×C19—21no—
630C22⋊C4×C19—21no—
631C22⋊C4×C19—21no—
632C22⋊C4×C19—21no—
633C22⋊C4×C19—21no—
634C22⋊C4×C19—21no—
635C22⋊C4×C19—21no—
636C22⋊C4×C19—21no—
637C22⋊C4×C19—21no—
638C22⋊C4×C19—21no—
639C22⋊C4×C19—21no—
640C22⋊C4×C19—21no—
641C22⋊C4×C19—21no—
642C22⋊C4×C19—21no—
643C22⋊C4×C19—21no—
644C22⋊C4×C19—21no—
645C22⋊C4×C19C2×D411yescharacteristic
646C22⋊C4×C19C2×D411yescharacteristic
647C22⋊C4×C19C2×D411yescharacteristic
648C22⋊C4×C19C2×D411yescharacteristic
649C22⋊C4×C19C2×D411yescharacteristic
650C22⋊C4×C19C2×D411yescharacteristic
651C22⋊C4×C19C2×D411yescharacteristic
652C22⋊C4×C19C2×D411yescharacteristic
653C22⋊C4×C19C2×D411yescharacteristic
654C22⋊C4×C19C2×D411yescharacteristic
655C42×C19—21no—
656C42×C19—21no—
657C42×C19—21no—
658C42×C19—21no—
659C42×C19—21no—
660C42×C19—21no—
661C42×C19—21no—
662C42×C19—21no—
663C42×C19—21no—
664C42×C19—21no—
665C42×C19—21no—
666C42×C19C2×D411yescharacteristic
667C42×C19C2×D411yescharacteristic
668C42×C19C2411yescharacteristic
669C42×C19C2411yescharacteristic
670C42×C19C2411yescharacteristic
671C42×C19C2411yescharacteristic
672#62224C1911yesmaximal, characteristic, direct product factor, Sylow
673C23×C19—21no—
674C23×C19—21no—
675C23×C19—21no—
676C23×C19—42no—
677C23×C19—42no—
678C23×C19—81no—
679C23×C19C22×D411yescharacteristic
680C23×C19C22×D411yescharacteristic
681C23×C19C22×D411yescharacteristic
682Q8×C19—21no—
683Q8×C19—21no—
684Q8×C19—21no—
685Q8×C19—21no—
686Q8×C19—21no—
687Q8×C19—21no—
688Q8×C19—41no—
689Q8×C19—42no—
690Q8×C19—81no—
691Q8×C19—81no—
692Q8×C19—81no—
693Q8×C19—81no—
694Q8×C19—81no—
695Q8×C19—81no—
696D4×C19—21no—
697D4×C19—21no—
698D4×C19—21no—
699D4×C19—21no—
700D4×C19—21no—
701D4×C19—41no—
702D4×C19—41no—
703D4×C19—41no—
704D4×C19—42no—
705D4×C19—42no—
706D4×C19—42no—
707D4×C19—81no—
708D4×C19—81no—
709D4×C19—81no—
710D4×C19—81no—
711D4×C19—81no—
712D4×C192−1+412yes—
713C2×C4×C19—21no—
714C2×C4×C19—21no—
715C2×C4×C19—21no—
716C2×C4×C19—21no—
717C2×C4×C19—21no—
718C2×C4×C19—21no—
719C2×C4×C19—21no—
720C2×C4×C19—21no—
721C2×C4×C19—21no—
722C2×C4×C19—21no—
723C2×C4×C19—21no—
724C2×C4×C19—21no—
725C2×C4×C19—21no—
726C2×C4×C19—21no—
727C2×C4×C19—21no—
728C2×C4×C19—21no—
729C2×C4×C19—21no—
730C2×C4×C19—21no—
731C2×C4×C19—21no—
732C2×C4×C19—41no—
733C2×C4×C19—41no—
734C2×C4×C19—42no—
735C2×C4×C19—42no—
736C2×C4×C19—42no—
737C2×C4×C19—42no—
738C2×C4×C19—81no—
739C2×C4×C19—81no—
740C2×C4×C19—81no—
741C2×C4×C19—81no—
742C2×C4×C19—81no—
743C2×C4×C19—81no—
744C2×C4×C19—81no—
745C2×C4×C19—81no—
746C2×C4×C19—81no—
747C2×C4×C19—81no—
748C2×C4×C19—81no—
749C2×C4×C19—81no—
750C2×C4×C19C22×D411yescharacteristic
751C2×C4×C19C22×D411yescharacteristic
752C2×C4×C19C22×D411yescharacteristic
753C2×C4×C19C22×D411yescharacteristic
754C2×C4×C19C22×D411yescharacteristic
755C2×C4×C19C22×D411yescharacteristic
756C2×C4×C19C22×D411yescharacteristic
757C2×C4×C19C22×D411yescharacteristic
758C2×C4×C19C22×D411yescharacteristic
759C2×C4×C19C22×D411yescharacteristic
760C2×C4×C19C22×D411yescharacteristic
761C2×C4×C19C2511yescharacteristic
762C8×C19—21no—
763C8×C19—21no—
764C8×C19—21no—
765C8×C19—21no—
766C8×C19—21no—
767C8×C19—21no—
768C8×C19—21no—
769C8×C19—21no—
770#3565C2×C1911yescharacteristic, complemented
771#3520C2×C1911yescharacteristic, complemented
772#3386C2×C1911yescharacteristic, complemented
773#3384C2×C1911yescharacteristic, complemented
774#3377C2×C1911yescharacteristic, complemented
775#3376C2×C1911yescharacteristic, complemented
776#3357C2×C1911yescharacteristic, complemented
777#3356C2×C1911yescharacteristic, complemented
778#3346C2×C1911yescharacteristic, complemented
779#3345C2×C1911yescharacteristic, complemented
780#3344C2×C1911yescharacteristic, complemented
781#3343C2×C1911yescharacteristic, complemented
782#3323C2×C1911yescharacteristic, complemented
783#3322C2×C1911yescharacteristic, complemented
784#3319C2×C1911yescharacteristic, complemented
785#3315C2×C1911yescharacteristic, complemented
786#3311C2×C1911yescharacteristic, complemented
787#3307C2×C1911yescharacteristic, complemented
788#3263C2×C1911yescharacteristic, complemented
789#3262C2×C1911yescharacteristic, complemented
790#3252C2×C1911yescharacteristic, complemented
791#3244C2×C1911yescharacteristic, complemented
792#3243C2×C1911yescharacteristic, complemented
793#3237C2×C1911yescharacteristic, complemented
794#3125C2×C1911yescharacteristic, complemented
795#3124C2×C1911yescharacteristic, complemented
796#3114C2×C1911yescharacteristic, complemented
797#3084C2×C1911yescharacteristic, complemented
798#3083C2×C1911yescharacteristic, complemented
799#3077C2×C1911yescharacteristic, complemented
800#2995C2×C1911yescharacteristic, complemented
801C22×C19—21no—
802C22×C19—21no—
803C22×C19—21no—
804C22×C19—21no—
805C22×C19—21no—
806C22×C19—21no—
807C22×C19—21no—
808C22×C19—21no—
809C22×C19—21no—
810C22×C19—22no—
811C22×C19—41no—
812C22×C19—41no—
813C22×C19—41no—
814C22×C19—41no—
815C22×C19—41no—
816C22×C19—41no—
817C22×C19—41no—
818C22×C19—41no—
819C22×C19—84no—
820C22×C19C23×D411yescharacteristic
821C4×C19—21no—
822C4×C19—21no—
823C4×C19—21no—
824C4×C19—21no—
825C4×C19—21no—
826C4×C19—21no—
827C4×C19—21no—
828C4×C19—21no—
829C4×C19—21no—
830C4×C19—21no—
831C4×C19—21no—
832C4×C19—41no—
833C4×C19—41no—
834C4×C19—41no—
835C4×C19—41no—
836C4×C19—41no—
837C4×C19—41no—
838C4×C19—41no—
839C4×C19—41no—
840C4×C19—41no—
841C4×C19—41no—
842C4×C19—41no—
843C4×C19—41no—
844C4×C19—41no—
845C4×C19C2×2−1+411yescharacteristic
846C4×C19#58511yescharacteristic
847#563—21no—
848#562—21no—
849#557C22×C1911yescharacteristic, complemented
850#556—21no—
851#556C22×C1911yescharacteristic
852#556C22×C1911yescharacteristic
853#555C22×C1911yescharacteristic
854#554C22×C1911yescharacteristic
855#554C22×C1911yescharacteristic
856#554C22×C1911yescharacteristic, complemented
857#553C22×C1911yescharacteristic
858#553C22×C1911yescharacteristic, complemented
859#552—21no—
860#552—21no—
861#552C22×C1911yescharacteristic
862#552C22×C1911yescharacteristic, complemented
863#551—21no—
864#551—21no—
865D4×Q8C22×C1911yescharacteristic
866#548—21no—
867#547C22×C1911yescharacteristic
868#547C22×C1911yescharacteristic
869#546C22×C1911yescharacteristic
870#546C22×C1911yescharacteristic
871#544C22×C1911yescharacteristic, complemented
872#544C22×C1911yescharacteristic, complemented
873#542—21no—
874#542—21no—
875#542C22×C1911yescharacteristic
876#542C22×C1911yescharacteristic
877#542C22×C1911yescharacteristic, complemented
878#542C22×C1911yescharacteristic, complemented
879#541—21no—
880#539—21no—
881#539—21no—
882#539—21no—
883#533C22×C1911yescharacteristic
884#533C22×C1911yescharacteristic
885#529C22×C1911yescharacteristic
886#529C22×C1911yescharacteristic
887#525—21no—
888C2×C22⋊Q8—21no—
889#520C22×C1911yescharacteristic
890#520C22×C1911yescharacteristic
891C2×C4×D4C22×C1911yescharacteristic
892#501C22×C1911yescharacteristic, complemented
893#501C22×C1911yescharacteristic, complemented
894#501C22×C1911yescharacteristic, complemented
895#501C22×C1911yescharacteristic, complemented
896#500C22×C1911yescharacteristic, complemented
897#498C22×C1911yescharacteristic, complemented
898#491C22×C1911yescharacteristic, complemented
899#491C22×C1911yescharacteristic, complemented
900#489C22×C1911yescharacteristic
901#489C22×C1911yescharacteristic
902#488C22×C1911yescharacteristic
903#488C22×C1911yescharacteristic
904#485C22×C1911yescharacteristic
905#485C22×C1911yescharacteristic
906#485C22×C1911yescharacteristic
907#485C22×C1911yescharacteristic
908#485C22×C1911yescharacteristic, complemented
909#485C22×C1911yescharacteristic, complemented
910#484C22×C1911yescharacteristic, complemented
911#484C22×C1911yescharacteristic, complemented
912#483C22×C1911yescharacteristic
913#483C22×C1911yescharacteristic, complemented
914#483C22×C1911yescharacteristic, complemented
915#482C22×C1911yescharacteristic
916#482C22×C1911yescharacteristic
917#481C22×C1911yescharacteristic
918#481C22×C1911yescharacteristic, complemented
919#480C22×C1911yescharacteristic
920#480C22×C1911yescharacteristic
921#480C22×C1911yescharacteristic, complemented
922#479C22×C1911yescharacteristic, complemented
923#479C22×C1911yescharacteristic, complemented
924#479C22×C1911yescharacteristic, complemented
925#479C22×C1911yescharacteristic, complemented
926#478C22×C1911yescharacteristic
927#478C22×C1911yescharacteristic
928#478C22×C1911yescharacteristic
929#478C22×C1911yescharacteristic
930#478C22×C1911yescharacteristic
931#478C22×C1911yescharacteristic
932#478C22×C1911yescharacteristic
933#478C22×C1911yescharacteristic
934#477C22×C1911yescharacteristic, complemented
935#477C22×C1911yescharacteristic, complemented
936#477C22×C1911yescharacteristic, complemented
937#477C22×C1911yescharacteristic, complemented
938#477C22×C1911yescharacteristic, complemented
939#476C22×C1911yescharacteristic
940#476C22×C1911yescharacteristic
941#476C22×C1911yescharacteristic
942#476C22×C1911yescharacteristic, complemented
943#476C22×C1911yescharacteristic, complemented
944#475C22×C1911yescharacteristic, complemented
945#475C22×C1911yescharacteristic, complemented
946#475C22×C1911yescharacteristic, complemented
947#475C22×C1911yescharacteristic, complemented
948#474C22×C1911yescharacteristic
949#474C22×C1911yescharacteristic
950#474C22×C1911yescharacteristic
951#474C22×C1911yescharacteristic, complemented
952#470C22×C1911yescharacteristic
953#470C22×C1911yescharacteristic
954#470C22×C1911yescharacteristic, complemented
955#469C22×C1911yescharacteristic
956#468C22×C1911yescharacteristic
957#468C22×C1911yescharacteristic
958#468C22×C1911yescharacteristic
959#468C22×C1911yescharacteristic, complemented
960#467C22×C1911yescharacteristic, complemented
961#466C22×C1911yescharacteristic
962#465C22×C1911yescharacteristic
963#465C22×C1911yescharacteristic, complemented
964#464C22×C1911yescharacteristic
965#464C22×C1911yescharacteristic
966#464C22×C1911yescharacteristic, complemented
967#464C22×C1911yescharacteristic, complemented
968#463C22×C1911yescharacteristic
969#463C22×C1911yescharacteristic
970#463C22×C1911yescharacteristic
971#463C22×C1911yescharacteristic
972#462C22×C1911yescharacteristic, complemented
973#461C22×C1911yescharacteristic, complemented
974#452C22×C1911yescharacteristic
975#452C22×C1911yescharacteristic
976#450C22×C1911yescharacteristic
977#449C22×C1911yescharacteristic
978#449C22×C1911yescharacteristic
979#447C22×C1911yescharacteristic
980#446C22×C1911yescharacteristic, complemented
981#446C22×C1911yescharacteristic, complemented
982#442C22×C1911yescharacteristic
983#442C22×C1911yescharacteristic
984#442C22×C1911yescharacteristic
985#441C22×C1911yescharacteristic, complemented
986#440C22×C1911yescharacteristic
987#440C22×C1911yescharacteristic
988#440C22×C1911yescharacteristic
989#440C22×C1911yescharacteristic, complemented
990C4×Q16C22×C1911yescharacteristic, complemented
991C4×SD16C22×C1911yescharacteristic
992C4×SD16C22×C1911yescharacteristic, complemented
993C4×D8C22×C1911yescharacteristic
994#436C22×C1911yescharacteristic
995#436C22×C1911yescharacteristic
996#435C22×C1911yescharacteristic
997#435C22×C1911yescharacteristic
998#435C22×C1911yescharacteristic, complemented
999#435C22×C1911yescharacteristic, complemented
1000#433C22×C1911yescharacteristic, complemented
1001#433C22×C1911yescharacteristic, complemented
1002#432C22×C1911yescharacteristic
1003#428C22×C1911yescharacteristic
1004#428C22×C1911yescharacteristic
1005#428C22×C1911yescharacteristic, complemented
1006#428C22×C1911yescharacteristic, complemented
1007C2×#107C22×C1911yescharacteristic, complemented
1008C2×#106C22×C1911yescharacteristic, complemented
1009#424C22×C1911yescharacteristic, complemented
1010#424C22×C1911yescharacteristic, complemented
1011#423C22×C1911yescharacteristic
1012#418C22×C1911yescharacteristic
1013#418C22×C1911yescharacteristic
1014#417C22×C1911yescharacteristic
1015#417C22×C1911yescharacteristic
1016#416C22×C1911yescharacteristic
1017#416C22×C1911yescharacteristic
1018C2×C19—41no—
1019C2×C19—41no—
1020C2×C19—41no—
1021C2×C19—42no—
1022C2×C19—81no—
1023C2×C19—81no—
1024C2×C19#348911yescharacteristic
1025C2×C19#358511yescharacteristic
1026C2×C19#358611yescharacteristic
1027C2×#41—21no—
1028C2×#41C23×C1911yescharacteristic
1029C2×#41C23×C1911yescharacteristic
1030C22×Q8—21no—
1031C22×D4C23×C1911yescharacteristic
1032C23×C4—21no—
1033C2×Q16C23×C1911yescharacteristic
1034C2×Q16C23×C1911yescharacteristic
1035C2×SD16C23×C1911yescharacteristic
1036C2×SD16C23×C1911yescharacteristic
1037C2×SD16C23×C1911yescharacteristic
1038C2×SD16C23×C1911yescharacteristic
1039C2×D8C23×C1911yescharacteristic
1040C2×D8C23×C1911yescharacteristic
1041C2×M16C23×C1911yescharacteristic
1042C2×M16C23×C1911yescharacteristic
1043C2×M16C23×C1911yescharacteristic
1044C2×M16C23×C1911yescharacteristic
1045C22×C8C23×C1911yescharacteristic
1046C22×C8C23×C1911yescharacteristic
1047C4⋊Q8—21no—
1048C4⋊Q8—21no—
1049C4⋊Q8—21no—
1050C4⋊Q8C23×C1911yescharacteristic
1051C4⋊Q8C23×C1911yescharacteristic
1052C4⋊Q8C23×C1911yescharacteristic
1053C4⋊Q8C23×C1911yescharacteristic
1054C4⋊Q8C23×C1911yescharacteristic
1055C4⋊Q8C23×C1911yescharacteristic
1056C4⋊Q8C23×C1911yescharacteristic
1057C4⋊Q8C23×C1911yescharacteristic
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126—21no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126D4×C1911yescharacteristic
1072#126D4×C1911yescharacteristic
1073#125—21no—
1074#125—21no—
1075#125—21no—
1076#125—21no—
1077#125—21no—
1078#125—21no—
1079#125—21no—
1080#125—21no—
1081#125—21no—
1082#125D4×C1911yescharacteristic
1083#125C23×C1911yescharacteristic
1084#125C23×C1911yescharacteristic
1085#125C23×C1911yescharacteristic
1086#125C23×C1911yescharacteristic
1087#125C23×C1911yescharacteristic
1088#124—21no—
1089#124—21no—
1090#124—21no—
1091#124—21no—
1092#124—21no—
1093#124—21no—
1094#124—21no—
1095#124D4×C1911yescharacteristic
1096#124C23×C1911yescharacteristic
1097#124C23×C1911yescharacteristic
1098#124C23×C1911yescharacteristic
1099#123—21no—
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—21no—
1104#123—21no—
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123D4×C1911yescharacteristic
1115#123D4×C1911yescharacteristic
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8D4×C1911yescharacteristic
1140C22⋊Q8C23×C1911yescharacteristic
1141C22⋊Q8C23×C1911yescharacteristic
1142C22⋊Q8C23×C1911yescharacteristic
1143C22⋊Q8C23×C1911yescharacteristic
1144C22⋊Q8C23×C1911yescharacteristic
1145C22⋊Q8C23×C1911yescharacteristic
1146C22⋊Q8C23×C1911yescharacteristic
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121D4×C1911yescharacteristic
1154#121C23×C1911yescharacteristic
1155#121C23×C1911yescharacteristic
1156#121C23×C1911yescharacteristic
1157#121C23×C1911yescharacteristic
1158#121C23×C1911yescharacteristic
1159#120—21no—
1160#120—21no—
1161C4×Q8—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8—21no—
1165C4×Q8—21no—
1166C4×Q8C23×C1911yescharacteristic
1167C4×Q8C23×C1911yescharacteristic
1168C4×Q8C23×C1911yescharacteristic
1169C4×Q8C23×C1911yescharacteristic
1170C4×Q8C23×C1911yescharacteristic
1171C4×Q8C23×C1911yescharacteristic
1172C4×Q8C23×C1911yescharacteristic
1173C4×Q8C23×C1911yescharacteristic
1174C4×D4—21no—
1175C4×D4—21no—
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—21no—
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4C23×C1911yescharacteristic
1186C4×D4C23×C1911yescharacteristic
1187C4×D4C23×C1911yescharacteristic
1188C4×D4C23×C1911yescharacteristic
1189C4×D4C23×C1911yescharacteristic
1190C4×D4C23×C1911yescharacteristic
1191C4×D4C23×C1911yescharacteristic
1192C4×D4C23×C1911yescharacteristic
1193C4×D4C23×C1911yescharacteristic
1194C4×D4C23×C1911yescharacteristic
1195C4×D4C23×C1911yescharacteristic
1196C4×D4C23×C1911yescharacteristic
1197#117—21no—
1198#117—21no—
1199#117—21no—
1200#117—21no—
1201#117—21no—
1202#117—21no—
1203#117—21no—
1204#117—21no—
1205#117C23×C1911yescharacteristic
1206#117C23×C1911yescharacteristic
1207#117C23×C1911yescharacteristic
1208#117C23×C1911yescharacteristic
1209#117C23×C1911yescharacteristic
1210#117C23×C1911yescharacteristic
1211C2×C4⋊C4—21no—
1212C2×C4⋊C4—21no—
1213C2×C4⋊C4—21no—
1214C2×C4⋊C4—21no—
1215C2×C4⋊C4C23×C1911yescharacteristic
1216C2×C4⋊C4C23×C1911yescharacteristic
1217C2×C4⋊C4C23×C1911yescharacteristic
1218C2×C4⋊C4C23×C1911yescharacteristic
1219C2×C4⋊C4C23×C1911yescharacteristic
1220C2×C22⋊C4—21no—
1221C2×C22⋊C4—21no—
1222C2×C22⋊C4—21no—
1223C2×C42C23×C1911yescharacteristic
1224#107C23×C1911yescharacteristic
1225#107C23×C1911yescharacteristic
1226#107C23×C1911yescharacteristic
1227#107C23×C1911yescharacteristic
1228#107C23×C1911yescharacteristic
1229#107C23×C1911yescharacteristic
1230#107C23×C1911yescharacteristic
1231#107C23×C1911yescharacteristic
1232#107C23×C1911yescharacteristic
1233#107C23×C1911yescharacteristic
1234#107C23×C1911yescharacteristic
1235#107C23×C1911yescharacteristic
1236#106C23×C1911yescharacteristic
1237#106C23×C1911yescharacteristic
1238#106C23×C1911yescharacteristic
1239#106C23×C1911yescharacteristic
1240#106C23×C1911yescharacteristic
1241#106C23×C1911yescharacteristic
1242#106C23×C1911yescharacteristic
1243#106C23×C1911yescharacteristic
1244#106C23×C1911yescharacteristic
1245#106C23×C1911yescharacteristic
1246#106C23×C1911yescharacteristic
1247#106C23×C1911yescharacteristic
1248C4⋊C8C23×C1911yescharacteristic
1249C4⋊C8C23×C1911yescharacteristic
1250C4⋊C8C23×C1911yescharacteristic
1251C4⋊C8C23×C1911yescharacteristic
1252C4⋊C8C23×C1911yescharacteristic
1253C4⋊C8C23×C1911yescharacteristic
1254C4⋊C8C23×C1911yescharacteristic
1255C4⋊C8C23×C1911yescharacteristic
1256C4⋊C8C23×C1911yescharacteristic
1257C4⋊C8C23×C1911yescharacteristic
1258#103C23×C1911yescharacteristic
1259#103C23×C1911yescharacteristic
1260#103C23×C1911yescharacteristic
1261#103C23×C1911yescharacteristic
1262#103C23×C1911yescharacteristic
1263#103C23×C1911yescharacteristic
1264#103C23×C1911yescharacteristic
1265#103C23×C1911yescharacteristic
1266#103C23×C1911yescharacteristic
1267#103C23×C1911yescharacteristic
1268#103C23×C1911yescharacteristic
1269#103C23×C1911yescharacteristic
1270#103C23×C1911yescharacteristic
1271#103C23×C1911yescharacteristic
1272#103C23×C1911yescharacteristic
1273#103C23×C1911yescharacteristic
1274#102C23×C1911yescharacteristic
1275#102C23×C1911yescharacteristic
1276#102C23×C1911yescharacteristic
1277#102C23×C1911yescharacteristic
1278#102C23×C1911yescharacteristic
1279#102C23×C1911yescharacteristic
1280#102C23×C1911yescharacteristic
1281#102C23×C1911yescharacteristic
1282#102C23×C1911yescharacteristic
1283#102C23×C1911yescharacteristic
1284#102C23×C1911yescharacteristic
1285#102C23×C1911yescharacteristic
1286#102C23×C1911yescharacteristic
1287#102C23×C1911yescharacteristic
1288#102C23×C1911yescharacteristic
1289#102C23×C1911yescharacteristic
1290C22⋊C8C23×C1911yescharacteristic
1291C22⋊C8C23×C1911yescharacteristic
1292C22⋊C8C23×C1911yescharacteristic
1293C22⋊C8C23×C1911yescharacteristic
1294C22⋊C8C23×C1911yescharacteristic
1295C22⋊C8C23×C1911yescharacteristic
1296#97C23×C1911yescharacteristic
1297#97C23×C1911yescharacteristic
1298#97C23×C1911yescharacteristic
1299#97C23×C1911yescharacteristic
1300C4×C8C23×C1911yescharacteristic
1301C4×C8C23×C1911yescharacteristic
1302C19#6222411yescharacteristic, direct product factor, Sylow
1303C24—21no—
1304#41—22no—
1305#41—22no—
1306#41—41no—
1307#41—41no—
1308#41—82no—
1309C2×Q8—21no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—21no—
1314C2×Q8—21no—
1315C2×Q8—21no—
1316C2×Q8—82no—
1317C2×Q8C2×D4×C1911yescharacteristic
1318C2×Q8C24×C1911yescharacteristic
1319C2×Q8C24×C1911yescharacteristic
1320C2×Q8C24×C1911yescharacteristic
1321C2×D4—22no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—41no—
1331C2×D4C2×D4×C1911yescharacteristic
1332C2×D4C2×D4×C1911yescharacteristic
1333C2×D4C2×D4×C1911yescharacteristic
1334C2×D4C24×C1911yescharacteristic
1335C2×D4C24×C1911yescharacteristic
1336C2×D4C24×C1911yescharacteristic
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—82no—
1354C22×C4C2×D4×C1911yescharacteristic
1355C22×C4C2×D4×C1911yescharacteristic
1356C22×C4C24×C1911yescharacteristic
1357C22×C4C24×C1911yescharacteristic
1358C22×C4C24×C1911yescharacteristic
1359Q16—41no—
1360Q16—41no—
1361SD16—22no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365D8—22no—
1366D8—41no—
1367M16—41no—
1368M16—41no—
1369M16—41no—
1370M16—41no—
1371C2×C8—41no—
1372C2×C8—41no—
1373C2×C8C24×C1911yescharacteristic
1374C2×C8C24×C1911yescharacteristic
1375C2×C8C24×C1911yescharacteristic
1376C2×C8C24×C1911yescharacteristic
1377C2×C8C24×C1911yescharacteristic
1378C2×C8C24×C1911yescharacteristic
1379C2×C8C24×C1911yescharacteristic
1380C2×C8C24×C1911yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4C2×D4×C1911yescharacteristic
1420C4⋊C4C2×D4×C1911yescharacteristic
1421C4⋊C4C2×D4×C1911yescharacteristic
1422C4⋊C4C2×D4×C1911yescharacteristic
1423C4⋊C4C2×D4×C1911yescharacteristic
1424C4⋊C4C2×D4×C1911yescharacteristic
1425C4⋊C4C2×D4×C1911yescharacteristic
1426C4⋊C4C2×D4×C1911yescharacteristic
1427C4⋊C4C2×D4×C1911yescharacteristic
1428C4⋊C4C2×D4×C1911yescharacteristic
1429C4⋊C4C24×C1911yescharacteristic
1430C4⋊C4C24×C1911yescharacteristic
1431C4⋊C4C24×C1911yescharacteristic
1432C4⋊C4C24×C1911yescharacteristic
1433C4⋊C4C24×C1911yescharacteristic
1434C4⋊C4C24×C1911yescharacteristic
1435C4⋊C4C24×C1911yescharacteristic
1436C4⋊C4C24×C1911yescharacteristic
1437C4⋊C4C24×C1911yescharacteristic
1438C4⋊C4C24×C1911yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4C2×D4×C1911yescharacteristic
1471C22⋊C4C2×D4×C1911yescharacteristic
1472C22⋊C4C2×D4×C1911yescharacteristic
1473C22⋊C4C2×D4×C1911yescharacteristic
1474C22⋊C4C2×D4×C1911yescharacteristic
1475C22⋊C4C2×D4×C1911yescharacteristic
1476C22⋊C4C2×D4×C1911yescharacteristic
1477C22⋊C4C2×D4×C1911yescharacteristic
1478C22⋊C4C2×D4×C1911yescharacteristic
1479C22⋊C4C2×D4×C1911yescharacteristic
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42C2×D4×C1911yescharacteristic
1492C42C2×D4×C1911yescharacteristic
1493C42C24×C1911yescharacteristic
1494C42C24×C1911yescharacteristic
1495C42C24×C1911yescharacteristic
1496C42C24×C1911yescharacteristic
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—42no—
1501C23—42no—
1502C23—81no—
1503C23C22×D4×C1911yescharacteristic
1504C23C22×D4×C1911yescharacteristic
1505C23C22×D4×C1911yescharacteristic
1506Q8—21no—
1507Q8—21no—
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—41no—
1513Q8—42no—
1514Q8—81no—
1515Q8—81no—
1516Q8—81no—
1517Q8—81no—
1518Q8—81no—
1519Q8—81no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—42no—
1529D4—42no—
1530D4—42no—
1531D4—81no—
1532D4—81no—
1533D4—81no—
1534D4—81no—
1535D4—81no—
1536D4C19×2−1+412yes—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4C22×D4×C1911yescharacteristic
1575C2×C4C22×D4×C1911yescharacteristic
1576C2×C4C22×D4×C1911yescharacteristic
1577C2×C4C22×D4×C1911yescharacteristic
1578C2×C4C22×D4×C1911yescharacteristic
1579C2×C4C22×D4×C1911yescharacteristic
1580C2×C4C22×D4×C1911yescharacteristic
1581C2×C4C22×D4×C1911yescharacteristic
1582C2×C4C22×D4×C1911yescharacteristic
1583C2×C4C22×D4×C1911yescharacteristic
1584C2×C4C22×D4×C1911yescharacteristic
1585C2×C4C25×C1911yescharacteristic
1586C8—21no—
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—22no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—84no—
1613C22C23×D4×C1911yescharacteristic
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4C2×C19×2−1+411yescharacteristic
1639C4C19×#58511yescharacteristic
1640C2—41no—
1641C2—41no—
1642C2—41no—
1643C2—42no—
1644C2—81no—
1645C2—81no—
1646C2C19×#348911yescharacteristic
1647C2C19×#358511yescharacteristic
1648C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3565C2semidirect
2. C19×#3520C2semidirect
3. C19×#3386C2semidirect
4. C19×#3384C2semidirect
5. C19×#3377C2semidirect
6. C19×#3376C2semidirect
7. C19×#3357C2semidirect
8. C19×#3356C2semidirect
9. C19×#3346C2semidirect
10. C19×#3345C2semidirect
11. C19×#3344C2semidirect
12. C19×#3343C2semidirect
13. C19×#3323C2semidirect
14. C19×#3322C2semidirect
15. C19×#3319C2semidirect
16. C19×#3315C2semidirect
17. C19×#3311C2semidirect
18. C19×#3307C2semidirect
19. C19×#3263C2semidirect
20. C19×#3262C2semidirect
21. C19×#3252C2semidirect
22. C19×#3244C2semidirect
23. C19×#3243C2semidirect
24. C19×#3237C2semidirect
25. C19×#3125C2semidirect
26. C19×#3124C2semidirect
27. C19×#3114C2semidirect
28. C19×#3084C2semidirect
29. C19×#3083C2semidirect
30. C19×#3077C2semidirect
31. C19×#2995C2semidirect
34. C19×#557C22semidirect
41. C19×#554C22semidirect
43. C19×#553C22semidirect
47. C19×#552C22semidirect
56. C19×#544C22semidirect
57. C19×#544C22semidirect
62. C19×#542C22semidirect
63. C19×#542C22semidirect
77. C19×#501C22semidirect
78. C19×#501C22semidirect
79. C19×#501C22semidirect
80. C19×#501C22semidirect
81. C19×#500C22semidirect
82. C19×#498C22semidirect
83. C19×#491C22semidirect
84. C19×#491C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#484C22semidirect
96. C19×#484C22semidirect
98. C19×#483C22semidirect
99. C19×#483C22semidirect
103. C19×#481C22semidirect
106. C19×#480C22semidirect
107. C19×#479C22semidirect
108. C19×#479C22semidirect
109. C19×#479C22semidirect
110. C19×#479C22semidirect
119. C19×#477C22semidirect
120. C19×#477C22semidirect
121. C19×#477C22semidirect
122. C19×#477C22semidirect
123. C19×#477C22semidirect
127. C19×#476C22semidirect
128. C19×#476C22semidirect
129. C19×#475C22semidirect
130. C19×#475C22semidirect
131. C19×#475C22semidirect
132. C19×#475C22semidirect
136. C19×#474C22semidirect
139. C19×#470C22semidirect
144. C19×#468C22semidirect
145. C19×#467C22semidirect
148. C19×#465C22semidirect
151. C19×#464C22semidirect
152. C19×#464C22semidirect
157. C19×#462C22semidirect
158. C19×#461C22semidirect
165. C19×#446C22semidirect
166. C19×#446C22semidirect
170. C19×#441C22semidirect
174. C19×#440C22semidirect
175. C4×Q16×C19C22semidirect
177. C4×SD16×C19C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C19×#433C22semidirect
186. C19×#433C22semidirect
190. C19×#428C22semidirect
191. C19×#428C22semidirect
192. C2×C19×#107C22semidirect
193. C2×C19×#106C22semidirect
194. C19×#424C22semidirect
195. C19×#424C22semidirect
672. #62224C19direct (N × H)
770. #3565C2×C19semidirect
771. #3520C2×C19semidirect
772. #3386C2×C19semidirect
773. #3384C2×C19semidirect
774. #3377C2×C19semidirect
775. #3376C2×C19semidirect
776. #3357C2×C19semidirect
777. #3356C2×C19semidirect
778. #3346C2×C19semidirect
779. #3345C2×C19semidirect
780. #3344C2×C19semidirect
781. #3343C2×C19semidirect
782. #3323C2×C19semidirect
783. #3322C2×C19semidirect
784. #3319C2×C19semidirect
785. #3315C2×C19semidirect
786. #3311C2×C19semidirect
787. #3307C2×C19semidirect
788. #3263C2×C19semidirect
789. #3262C2×C19semidirect
790. #3252C2×C19semidirect
791. #3244C2×C19semidirect
792. #3243C2×C19semidirect
793. #3237C2×C19semidirect
794. #3125C2×C19semidirect
795. #3124C2×C19semidirect
796. #3114C2×C19semidirect
797. #3084C2×C19semidirect
798. #3083C2×C19semidirect
799. #3077C2×C19semidirect
800. #2995C2×C19semidirect
849. #557C22×C19semidirect
856. #554C22×C19semidirect
858. #553C22×C19semidirect
862. #552C22×C19semidirect
871. #544C22×C19semidirect
872. #544C22×C19semidirect
877. #542C22×C19semidirect
878. #542C22×C19semidirect
892. #501C22×C19semidirect
893. #501C22×C19semidirect
894. #501C22×C19semidirect
895. #501C22×C19semidirect
896. #500C22×C19semidirect
897. #498C22×C19semidirect
898. #491C22×C19semidirect
899. #491C22×C19semidirect
908. #485C22×C19semidirect
909. #485C22×C19semidirect
910. #484C22×C19semidirect
911. #484C22×C19semidirect
913. #483C22×C19semidirect
914. #483C22×C19semidirect
918. #481C22×C19semidirect
921. #480C22×C19semidirect
922. #479C22×C19semidirect
923. #479C22×C19semidirect
924. #479C22×C19semidirect
925. #479C22×C19semidirect
934. #477C22×C19semidirect
935. #477C22×C19semidirect
936. #477C22×C19semidirect
937. #477C22×C19semidirect
938. #477C22×C19semidirect
942. #476C22×C19semidirect
943. #476C22×C19semidirect
944. #475C22×C19semidirect
945. #475C22×C19semidirect
946. #475C22×C19semidirect
947. #475C22×C19semidirect
951. #474C22×C19semidirect
954. #470C22×C19semidirect
959. #468C22×C19semidirect
960. #467C22×C19semidirect
963. #465C22×C19semidirect
966. #464C22×C19semidirect
967. #464C22×C19semidirect
972. #462C22×C19semidirect
973. #461C22×C19semidirect
980. #446C22×C19semidirect
981. #446C22×C19semidirect
985. #441C22×C19semidirect
989. #440C22×C19semidirect
990. C4×Q16C22×C19semidirect
992. C4×SD16C22×C19semidirect
998. #435C22×C19semidirect
999. #435C22×C19semidirect
1000. #433C22×C19semidirect
1001. #433C22×C19semidirect
1005. #428C22×C19semidirect
1006. #428C22×C19semidirect
1007. C2×#107C22×C19semidirect
1008. C2×#106C22×C19semidirect
1009. #424C22×C19semidirect
1010. #424C22×C19semidirect
1302. C19#62224direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35652
C19×#35202
C19×#33862
C19×#33842
C19×#33772
C19×#33762
C19×#33572
C19×#33562
C19×#33462
C19×#33452
C19×#33442
C19×#33432
C19×#33232
C19×#33222
C19×#33192
C19×#33152
C19×#33112
C19×#33072
C19×#32632
C19×#32622
C19×#32522
C19×#32442
C19×#32432
C19×#32372
C19×#31252
C19×#31242
C19×#31142
C19×#30842
C19×#30832
C19×#30772
C19×#29952
#6222419