Finite Group Databasebeta

← C19×#62172 #18068131

Subgroups — C19×#62172 #18068131

Order 4864.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3555C211yesmaximal, characteristic, complemented
2C19×#3521C211yesmaximal, characteristic
3C19×#3388C211yesmaximal, characteristic, complemented
4C19×#3385C211yesmaximal, characteristic, complemented
5C19×#3377C211yesmaximal, characteristic, complemented
6C19×#3369C211yesmaximal, characteristic, complemented
7C19×#3350C211yesmaximal, characteristic, complemented
8C19×#3349C211yesmaximal, characteristic, complemented
9C19×#3349C211yesmaximal, characteristic, complemented
10C19×#3344C211yesmaximal, characteristic, complemented
11C19×#3342C211yesmaximal, characteristic, complemented
12C19×#3337C211yesmaximal, characteristic, complemented
13C19×#3315C211yesmaximal, characteristic, complemented
14C19×#3314C211yesmaximal, characteristic, complemented
15C19×#3311C211yesmaximal, characteristic, complemented
16C19×#3311C211yesmaximal, characteristic, complemented
17C19×#3302C211yesmaximal, characteristic, complemented
18C19×#3296C211yesmaximal, characteristic, complemented
19C19×#3261C211yesmaximal, characteristic, complemented
20C19×#3258C211yesmaximal, characteristic, complemented
21C19×#3248C211yesmaximal, characteristic, complemented
22C19×#3243C211yesmaximal, characteristic, complemented
23C19×#3242C211yesmaximal, characteristic, complemented
24C19×#3240C211yesmaximal, characteristic, complemented
25C19×#3123C211yesmaximal, characteristic, complemented
26C19×#3120C211yesmaximal, characteristic, complemented
27C19×#3116C211yesmaximal, characteristic, complemented
28C19×#3084C211yesmaximal, characteristic, complemented
29C19×#3081C211yesmaximal, characteristic, complemented
30C19×#3076C211yesmaximal, characteristic, complemented
31C19×#2992C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#563—21no—
34Q82×C19C2211yescharacteristic, complemented
35C19×#557—21no—
36C19×#557C2211yescharacteristic, complemented
37C19×#556—21no—
38C19×#556C2211yescharacteristic
39C19×#556C2211yescharacteristic
40C19×#556C2211yescharacteristic
41C19×#556C2211yescharacteristic
42C19×#556C2211yescharacteristic, complemented
43C19×#554C2211yescharacteristic
44C19×#554C2211yescharacteristic
45C19×#553—21no—
46C19×#553C2211yescharacteristic
47C19×#552—21no—
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic
50C19×#552C2211yescharacteristic, complemented
51C19×#551—21no—
52C19×#551—21no—
53C19×#547C2211yescharacteristic
54C19×#546C2211yescharacteristic
55C19×#546C2211yescharacteristic
56C19×#544C2211yescharacteristic
57C19×#544C2211yescharacteristic, complemented
58C19×#542—21no—
59C19×#542C2211yescharacteristic
60C19×#541—21no—
61C19×#541—21no—
62C19×#541—21no—
63C19×#541C2211yescharacteristic
64C19×#541C2211yescharacteristic
65C19×#541C2211yescharacteristic, complemented
66C19×#539—21no—
67C19×#538—21no—
68C19×#533C2211yescharacteristic, complemented
69C19×#533C2211yescharacteristic, complemented
70C19×#529—21no—
71C19×#529C2211yescharacteristic
72C19×#529C2211yescharacteristic
73C2×C19×#126—21no—
74C19×#520C2211yescharacteristic
75C19×#518C2211yescharacteristic
76C4×#41×C19C2211yescharacteristic
77C19×#501C2211yescharacteristic, complemented
78C19×#501C2211yescharacteristic, complemented
79C19×#501C2211yescharacteristic, complemented
80C19×#501C2211yescharacteristic, complemented
81C19×#500C2211yescharacteristic, complemented
82C19×#499C2211yescharacteristic, complemented
83C19×#491C2211yescharacteristic, complemented
84C19×#489C2211yescharacteristic
85C19×#489C2211yescharacteristic
86C19×#489C2211yescharacteristic
87C19×#488C2211yescharacteristic
88C19×#487C2211yescharacteristic, complemented
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#485C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic
99C19×#484C2211yescharacteristic, complemented
100C19×#484C2211yescharacteristic, complemented
101C19×#483C2211yescharacteristic
102C19×#483C2211yescharacteristic, complemented
103C19×#482C2211yescharacteristic
104C19×#482C2211yescharacteristic
105C19×#482C2211yescharacteristic
106C19×#480C2211yescharacteristic
107C19×#479C2211yescharacteristic, complemented
108C19×#479C2211yescharacteristic, complemented
109C19×#479C2211yescharacteristic, complemented
110C19×#479C2211yescharacteristic, complemented
111C19×#479C2211yescharacteristic, complemented
112C19×#479C2211yescharacteristic, complemented
113C19×#479C2211yescharacteristic, complemented
114C19×#479C2211yescharacteristic, complemented
115C19×#479C2211yescharacteristic, complemented
116C19×#478C2211yescharacteristic
117C19×#478C2211yescharacteristic
118C19×#478C2211yescharacteristic
119C19×#478C2211yescharacteristic
120C19×#478C2211yescharacteristic
121C19×#478C2211yescharacteristic
122C19×#478C2211yescharacteristic
123C19×#477C2211yescharacteristic, complemented
124C19×#477C2211yescharacteristic, complemented
125C19×#477C2211yescharacteristic, complemented
126C19×#476C2211yescharacteristic
127C19×#476C2211yescharacteristic
128C19×#476C2211yescharacteristic
129C19×#476C2211yescharacteristic
130C19×#475C2211yescharacteristic, complemented
131C19×#475C2211yescharacteristic, complemented
132C19×#475C2211yescharacteristic, complemented
133C19×#475C2211yescharacteristic, complemented
134C19×#474C2211yescharacteristic
135C19×#474C2211yescharacteristic
136C19×#474C2211yescharacteristic
137C19×#470C2211yescharacteristic
138C19×#470C2211yescharacteristic
139C19×#470C2211yescharacteristic, complemented
140C19×#468C2211yescharacteristic
141C19×#467C2211yescharacteristic
142C19×#467C2211yescharacteristic
143C19×#467C2211yescharacteristic, complemented
144C19×#467C2211yescharacteristic, complemented
145C19×#467C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic
149C19×#464C2211yescharacteristic
150C19×#464C2211yescharacteristic
151C19×#464C2211yescharacteristic
152C19×#464C2211yescharacteristic
153C19×#462C2211yescharacteristic, complemented
154C19×#462C2211yescharacteristic, complemented
155C19×#462C2211yescharacteristic, complemented
156C19×#462C2211yescharacteristic, complemented
157C19×#461C2211yescharacteristic
158C19×#461C2211yescharacteristic
159C19×#452C2211yescharacteristic
160C19×#452C2211yescharacteristic
161C19×#452C2211yescharacteristic
162C19×#452C2211yescharacteristic
163C19×#450C2211yescharacteristic
164C19×#450C2211yescharacteristic
165C19×#446C2211yescharacteristic, complemented
166C19×#446C2211yescharacteristic, complemented
167C19×#441C2211yescharacteristic, complemented
168C19×#441C2211yescharacteristic, complemented
169C19×#441C2211yescharacteristic, complemented
170C19×#440C2211yescharacteristic
171C19×#440C2211yescharacteristic
172C19×#440C2211yescharacteristic
173C19×#440C2211yescharacteristic
174C19×#440C2211yescharacteristic
175C4×Q16×C19C2211yescharacteristic, complemented
176C4×SD16×C19C2211yescharacteristic
177C4×SD16×C19C2211yescharacteristic
178C4×SD16×C19C2211yescharacteristic
179C19×#435C2211yescharacteristic
180C19×#435C2211yescharacteristic
181C19×#435C2211yescharacteristic
182C19×#435C2211yescharacteristic, complemented
183C8×D4×C19C2211yescharacteristic
184C8×D4×C19C2211yescharacteristic, complemented
185C19×#433C2211yescharacteristic
186C19×#433C2211yescharacteristic, complemented
187C19×#432C2211yescharacteristic, complemented
188C19×#428C2211yescharacteristic
189C19×#428C2211yescharacteristic, complemented
190C19×#427C2211yescharacteristic
191C19×#427C2211yescharacteristic, complemented
192C19×#427C2211yescharacteristic, complemented
193C2×C19×#106C2211yescharacteristic, complemented
194C19×#424C2211yescharacteristic
195C19×#424C2211yescharacteristic, complemented
196C2×C19×C4⋊C8C2211yescharacteristic, complemented
197C19×#418C2211yescharacteristic
198C19×#417C2211yescharacteristic
199C19×#416C2211yescharacteristic
200C19×#416C2211yescharacteristic
201C19×#416C2211yescharacteristic
202C2×C19×#102C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×#41×C19C2311yescharacteristic
205C22×D4×C19C2311yescharacteristic
206C2×Q16×C19C2311yescharacteristic
207C2×Q16×C19C2311yescharacteristic
208C2×Q16×C19C2311yescharacteristic
209C2×Q16×C19C2311yescharacteristic
210C2×SD16×C19C2311yescharacteristic
211C2×SD16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×M16×C19C2311yescharacteristic
215C2×M16×C19C2311yescharacteristic
216C22×C8×C19C2311yescharacteristic
217C22×C8×C19C2311yescharacteristic
218C22×C8×C19C2311yescharacteristic
219C22×C8×C19C2311yescharacteristic
220C19×C4⋊Q8—21no—
221C19×C4⋊Q8—21no—
222C19×C4⋊Q8—21no—
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×#126—21no—
248C19×#126—21no—
249C19×#126—21no—
250C19×#126—21no—
251C19×#126—21no—
252C19×#126—21no—
253C19×#126—21no—
254C19×#126—21no—
255C19×#126—21no—
256C19×#126D411yescharacteristic
257C19×#126D411yescharacteristic
258C19×#125—21no—
259C19×#125—21no—
260C19×#125—21no—
261C19×#125—21no—
262C19×#125—21no—
263C19×#125—21no—
264C19×#125—21no—
265C19×#125—21no—
266C19×#125—21no—
267C19×#125—21no—
268C19×#125—21no—
269C19×#125—21no—
270C19×#125—21no—
271C19×#125—21no—
272C19×#125—21no—
273C19×#125D411yescharacteristic
274C19×#125C2311yescharacteristic
275C19×#125C2311yescharacteristic
276C19×#125C2311yescharacteristic
277C19×#125C2311yescharacteristic
278C19×#125C2311yescharacteristic
279C19×#125C2311yescharacteristic
280C19×#124—21no—
281C19×#124—21no—
282C19×#124—21no—
283C19×#124—21no—
284C19×#124—21no—
285C19×#124D411yescharacteristic
286C19×#124C2311yescharacteristic
287C19×#124C2311yescharacteristic
288C19×#123—21no—
289C19×#123—21no—
290C19×#123—21no—
291C19×#123—21no—
292C19×#123—21no—
293C19×#123—21no—
294C19×#123—21no—
295C19×#123—21no—
296C19×#123—21no—
297C19×#123—21no—
298C19×#123D411yescharacteristic
299C19×#123D411yescharacteristic
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⋊Q8D411yescharacteristic
315C19×C22⋊Q8C2311yescharacteristic
316C19×C22⋊Q8C2311yescharacteristic
317C19×C22⋊Q8C2311yescharacteristic
318C19×C22⋊Q8C2311yescharacteristic
319C19×C22⋊Q8C2311yescharacteristic
320C19×C22⋊Q8C2311yescharacteristic
321C19×C22⋊Q8C2311yescharacteristic
322C19×C22⋊Q8C2311yescharacteristic
323C19×C22⋊Q8C2311yescharacteristic
324C19×C22⋊Q8C2311yescharacteristic
325C19×#121—21no—
326C19×#121—21no—
327C19×#121—21no—
328C19×#121—21no—
329C19×#121D411yescharacteristic
330C19×#121C2311yescharacteristic
331C19×#121C2311yescharacteristic
332C19×#120—21no—
333C19×#120—21no—
334C4×Q8×C19—21no—
335C4×Q8×C19—21no—
336C4×Q8×C19—21no—
337C4×Q8×C19—21no—
338C4×Q8×C19—21no—
339C4×Q8×C19—21no—
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
342C4×Q8×C19—21no—
343C4×Q8×C19C2311yescharacteristic
344C4×Q8×C19C2311yescharacteristic
345C4×Q8×C19C2311yescharacteristic
346C4×Q8×C19C2311yescharacteristic
347C4×Q8×C19C2311yescharacteristic
348C4×Q8×C19C2311yescharacteristic
349C4×Q8×C19C2311yescharacteristic
350C4×Q8×C19C2311yescharacteristic
351C4×Q8×C19C2311yescharacteristic
352C4×Q8×C19C2311yescharacteristic
353C4×Q8×C19C2311yescharacteristic
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×C19—21no—
362C4×D4×C19—21no—
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
372C19×#117—21no—
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117—21no—
378C19×#117—21no—
379C19×#117—21no—
380C19×#117C2311yescharacteristic
381C19×#117C2311yescharacteristic
382C19×#117C2311yescharacteristic
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C19×#117C2311yescharacteristic
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×C22⋊C4×C19—21no—
395C2×C22⋊C4×C19—21no—
396C2×C22⋊C4×C19—21no—
397C2×C22⋊C4×C19—21no—
398C2×C42×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×#103C2311yescharacteristic
451C19×#103C2311yescharacteristic
452C19×#103C2311yescharacteristic
453C19×#103C2311yescharacteristic
454C19×#102C2311yescharacteristic
455C19×#102C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×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—
483C2×Q8×C19—21no—
484C2×Q8×C19—21no—
485C2×Q8×C19—21no—
486C2×Q8×C19—21no—
487C2×Q8×C19—21no—
488C2×Q8×C19—21no—
489C2×Q8×C19C2×D411yescharacteristic
490C2×Q8×C19C2411yescharacteristic
491C2×Q8×C19C2411yescharacteristic
492C2×Q8×C19C2411yescharacteristic
493C2×Q8×C19C2411yescharacteristic
494C2×D4×C19—22no—
495C2×D4×C19—21no—
496C2×D4×C19—21no—
497C2×D4×C19—21no—
498C2×D4×C19—21no—
499C2×D4×C19—21no—
500C2×D4×C19—41no—
501C2×D4×C19C2×D411yescharacteristic
502C2×D4×C19C2×D411yescharacteristic
503C2×D4×C19C2×D411yescharacteristic
504C2×D4×C19C2411yescharacteristic
505C2×D4×C19C2411yescharacteristic
506C22×C4×C19—21no—
507C22×C4×C19—21no—
508C22×C4×C19—21no—
509C22×C4×C19—21no—
510C22×C4×C19—21no—
511C22×C4×C19—21no—
512C22×C4×C19—21no—
513C22×C4×C19—21no—
514C22×C4×C19—21no—
515C22×C4×C19—21no—
516C22×C4×C19—21no—
517C22×C4×C19C2×D411yescharacteristic
518C22×C4×C19C2×D411yescharacteristic
519C22×C4×C19C2411yescharacteristic
520C22×C4×C19C2411yescharacteristic
521C22×C4×C19C2411yescharacteristic
522Q16×C19—41no—
523Q16×C19—41no—
524Q16×C19—41no—
525Q16×C19—41no—
526SD16×C19—22no—
527SD16×C19—22no—
528SD16×C19—41no—
529SD16×C19—41no—
530M16×C19—41no—
531M16×C19—41no—
532C2×C8×C19—41no—
533C2×C8×C19—41no—
534C2×C8×C19—41no—
535C2×C8×C19—41no—
536C2×C8×C19C2411yescharacteristic
537C2×C8×C19C2411yescharacteristic
538C2×C8×C19C2411yescharacteristic
539C2×C8×C19C2411yescharacteristic
540C2×C8×C19C2411yescharacteristic
541C2×C8×C19C2411yescharacteristic
542C2×C8×C19C2411yescharacteristic
543C2×C8×C19C2411yescharacteristic
544C4⋊C4×C19—21no—
545C4⋊C4×C19—21no—
546C4⋊C4×C19—21no—
547C4⋊C4×C19—21no—
548C4⋊C4×C19—21no—
549C4⋊C4×C19—21no—
550C4⋊C4×C19—21no—
551C4⋊C4×C19—21no—
552C4⋊C4×C19—21no—
553C4⋊C4×C19—21no—
554C4⋊C4×C19—21no—
555C4⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
590C4⋊C4×C19C2×D411yescharacteristic
591C4⋊C4×C19C2×D411yescharacteristic
592C4⋊C4×C19C2×D411yescharacteristic
593C4⋊C4×C19C2×D411yescharacteristic
594C4⋊C4×C19C2×D411yescharacteristic
595C4⋊C4×C19C2×D411yescharacteristic
596C4⋊C4×C19C2×D411yescharacteristic
597C4⋊C4×C19C2×D411yescharacteristic
598C4⋊C4×C19C2×D411yescharacteristic
599C4⋊C4×C19C2411yescharacteristic
600C4⋊C4×C19C2411yescharacteristic
601C4⋊C4×C19C2411yescharacteristic
602C4⋊C4×C19C2411yescharacteristic
603C4⋊C4×C19C2411yescharacteristic
604C4⋊C4×C19C2411yescharacteristic
605C4⋊C4×C19C2411yescharacteristic
606C4⋊C4×C19C2411yescharacteristic
607C4⋊C4×C19C2411yescharacteristic
608C4⋊C4×C19C2411yescharacteristic
609C22⋊C4×C19—21no—
610C22⋊C4×C19—21no—
611C22⋊C4×C19—21no—
612C22⋊C4×C19—21no—
613C22⋊C4×C19—21no—
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×C19C2×D411yescharacteristic
638C22⋊C4×C19C2×D411yescharacteristic
639C22⋊C4×C19C2×D411yescharacteristic
640C22⋊C4×C19C2×D411yescharacteristic
641C22⋊C4×C19C2×D411yescharacteristic
642C22⋊C4×C19C2×D411yescharacteristic
643C22⋊C4×C19C2×D411yescharacteristic
644C22⋊C4×C19C2×D411yescharacteristic
645C22⋊C4×C19C2×D411yescharacteristic
646C22⋊C4×C19C2×D411yescharacteristic
647C42×C19—21no—
648C42×C19—21no—
649C42×C19—21no—
650C42×C19—21no—
651C42×C19—21no—
652C42×C19—21no—
653C42×C19—21no—
654C42×C19—21no—
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×C19C2×D411yescharacteristic
664C42×C19C2×D411yescharacteristic
665C42×C19C2411yescharacteristic
666C42×C19C2411yescharacteristic
667C42×C19C2411yescharacteristic
668C42×C19C2411yescharacteristic
669#62172C1911yesmaximal, characteristic, direct product factor, Sylow
670C23×C19—21no—
671C23×C19—21no—
672C23×C19—42no—
673C23×C19—81no—
674C23×C19—81no—
675C23×C19C22×D411yescharacteristic
676C23×C19C22×D411yescharacteristic
677C23×C19C22×D411yescharacteristic
678Q8×C19—21no—
679Q8×C19—21no—
680Q8×C19—21no—
681Q8×C19—21no—
682Q8×C19—21no—
683Q8×C19—21no—
684Q8×C19—21no—
685Q8×C19—21no—
686Q8×C19—41no—
687Q8×C19—42no—
688Q8×C19—81no—
689Q8×C19—81no—
690Q8×C19—81no—
691Q8×C19—81no—
692Q8×C19—81no—
693D4×C19—21no—
694D4×C19—21no—
695D4×C19—21no—
696D4×C19—41no—
697D4×C19—41no—
698D4×C19—41no—
699D4×C19—42no—
700D4×C19—42no—
701D4×C19—42no—
702D4×C19—81no—
703D4×C19—81no—
704D4×C192−1+412yes—
705C2×C4×C19—21no—
706C2×C4×C19—21no—
707C2×C4×C19—21no—
708C2×C4×C19—21no—
709C2×C4×C19—21no—
710C2×C4×C19—21no—
711C2×C4×C19—21no—
712C2×C4×C19—21no—
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—41no—
726C2×C4×C19—41no—
727C2×C4×C19—42no—
728C2×C4×C19—42no—
729C2×C4×C19—81no—
730C2×C4×C19—81no—
731C2×C4×C19—81no—
732C2×C4×C19—81no—
733C2×C4×C19—81no—
734C2×C4×C19—81no—
735C2×C4×C19—81no—
736C2×C4×C19—81no—
737C2×C4×C19—81no—
738C2×C4×C19C22×D411yescharacteristic
739C2×C4×C19C22×D411yescharacteristic
740C2×C4×C19C22×D411yescharacteristic
741C2×C4×C19C22×D411yescharacteristic
742C2×C4×C19C22×D411yescharacteristic
743C2×C4×C19C22×D411yescharacteristic
744C2×C4×C19C22×D411yescharacteristic
745C2×C4×C19C22×D411yescharacteristic
746C2×C4×C19C22×D411yescharacteristic
747C2×C4×C19C22×D411yescharacteristic
748C2×C4×C19C22×D411yescharacteristic
749C2×C4×C19C2511yescharacteristic
750C8×C19—21no—
751C8×C19—21no—
752C8×C19—21no—
753C8×C19—21no—
754C8×C19—21no—
755C8×C19—21no—
756C8×C19—21no—
757C8×C19—21no—
758#3555C2×C1911yescharacteristic, complemented
759#3521C2×C1911yescharacteristic
760#3388C2×C1911yescharacteristic, complemented
761#3385C2×C1911yescharacteristic, complemented
762#3377C2×C1911yescharacteristic, complemented
763#3369C2×C1911yescharacteristic, complemented
764#3350C2×C1911yescharacteristic, complemented
765#3349C2×C1911yescharacteristic, complemented
766#3349C2×C1911yescharacteristic, complemented
767#3344C2×C1911yescharacteristic, complemented
768#3342C2×C1911yescharacteristic, complemented
769#3337C2×C1911yescharacteristic, complemented
770#3315C2×C1911yescharacteristic, complemented
771#3314C2×C1911yescharacteristic, complemented
772#3311C2×C1911yescharacteristic, complemented
773#3311C2×C1911yescharacteristic, complemented
774#3302C2×C1911yescharacteristic, complemented
775#3296C2×C1911yescharacteristic, complemented
776#3261C2×C1911yescharacteristic, complemented
777#3258C2×C1911yescharacteristic, complemented
778#3248C2×C1911yescharacteristic, complemented
779#3243C2×C1911yescharacteristic, complemented
780#3242C2×C1911yescharacteristic, complemented
781#3240C2×C1911yescharacteristic, complemented
782#3123C2×C1911yescharacteristic, complemented
783#3120C2×C1911yescharacteristic, complemented
784#3116C2×C1911yescharacteristic, complemented
785#3084C2×C1911yescharacteristic, complemented
786#3081C2×C1911yescharacteristic, complemented
787#3076C2×C1911yescharacteristic, complemented
788#2992C2×C1911yescharacteristic, complemented
789C22×C19—21no—
790C22×C19—21no—
791C22×C19—21no—
792C22×C19—21no—
793C22×C19—21no—
794C22×C19—21no—
795C22×C19—21no—
796C22×C19—21no—
797C22×C19—21no—
798C22×C19—22no—
799C22×C19—41no—
800C22×C19—41no—
801C22×C19—41no—
802C22×C19—41no—
803C22×C19—41no—
804C22×C19—162no—
805C22×C19C23×D411yescharacteristic
806C4×C19—21no—
807C4×C19—21no—
808C4×C19—21no—
809C4×C19—21no—
810C4×C19—21no—
811C4×C19—21no—
812C4×C19—21no—
813C4×C19—21no—
814C4×C19—21no—
815C4×C19—21no—
816C4×C19—21no—
817C4×C19—41no—
818C4×C19—41no—
819C4×C19—41no—
820C4×C19—41no—
821C4×C19—41no—
822C4×C19—41no—
823C4×C19—41no—
824C4×C19—41no—
825C4×C19—41no—
826C4×C19—41no—
827C4×C19—41no—
828C4×C19—41no—
829C4×C19—41no—
830C4×C19—41no—
831C4×C19C2×2−1+411yescharacteristic
832C4×C19#58511yescharacteristic
833#563—21no—
834#563—21no—
835Q82C22×C1911yescharacteristic, complemented
836#557—21no—
837#557C22×C1911yescharacteristic, complemented
838#556—21no—
839#556C22×C1911yescharacteristic
840#556C22×C1911yescharacteristic
841#556C22×C1911yescharacteristic
842#556C22×C1911yescharacteristic
843#556C22×C1911yescharacteristic, complemented
844#554C22×C1911yescharacteristic
845#554C22×C1911yescharacteristic
846#553—21no—
847#553C22×C1911yescharacteristic
848#552—21no—
849#552C22×C1911yescharacteristic
850#552C22×C1911yescharacteristic
851#552C22×C1911yescharacteristic, complemented
852#551—21no—
853#551—21no—
854#547C22×C1911yescharacteristic
855#546C22×C1911yescharacteristic
856#546C22×C1911yescharacteristic
857#544C22×C1911yescharacteristic
858#544C22×C1911yescharacteristic, complemented
859#542—21no—
860#542C22×C1911yescharacteristic
861#541—21no—
862#541—21no—
863#541—21no—
864#541C22×C1911yescharacteristic
865#541C22×C1911yescharacteristic
866#541C22×C1911yescharacteristic, complemented
867#539—21no—
868#538—21no—
869#533C22×C1911yescharacteristic, complemented
870#533C22×C1911yescharacteristic, complemented
871#529—21no—
872#529C22×C1911yescharacteristic
873#529C22×C1911yescharacteristic
874C2×#126—21no—
875#520C22×C1911yescharacteristic
876#518C22×C1911yescharacteristic
877C4×#41C22×C1911yescharacteristic
878#501C22×C1911yescharacteristic, complemented
879#501C22×C1911yescharacteristic, complemented
880#501C22×C1911yescharacteristic, complemented
881#501C22×C1911yescharacteristic, complemented
882#500C22×C1911yescharacteristic, complemented
883#499C22×C1911yescharacteristic, complemented
884#491C22×C1911yescharacteristic, complemented
885#489C22×C1911yescharacteristic
886#489C22×C1911yescharacteristic
887#489C22×C1911yescharacteristic
888#488C22×C1911yescharacteristic
889#487C22×C1911yescharacteristic, complemented
890#485C22×C1911yescharacteristic
891#485C22×C1911yescharacteristic
892#485C22×C1911yescharacteristic
893#485C22×C1911yescharacteristic
894#485C22×C1911yescharacteristic, complemented
895#485C22×C1911yescharacteristic, complemented
896#485C22×C1911yescharacteristic, complemented
897#485C22×C1911yescharacteristic, complemented
898#485C22×C1911yescharacteristic, complemented
899#484C22×C1911yescharacteristic
900#484C22×C1911yescharacteristic, complemented
901#484C22×C1911yescharacteristic, complemented
902#483C22×C1911yescharacteristic
903#483C22×C1911yescharacteristic, complemented
904#482C22×C1911yescharacteristic
905#482C22×C1911yescharacteristic
906#482C22×C1911yescharacteristic
907#480C22×C1911yescharacteristic
908#479C22×C1911yescharacteristic, complemented
909#479C22×C1911yescharacteristic, complemented
910#479C22×C1911yescharacteristic, complemented
911#479C22×C1911yescharacteristic, complemented
912#479C22×C1911yescharacteristic, complemented
913#479C22×C1911yescharacteristic, complemented
914#479C22×C1911yescharacteristic, complemented
915#479C22×C1911yescharacteristic, complemented
916#479C22×C1911yescharacteristic, complemented
917#478C22×C1911yescharacteristic
918#478C22×C1911yescharacteristic
919#478C22×C1911yescharacteristic
920#478C22×C1911yescharacteristic
921#478C22×C1911yescharacteristic
922#478C22×C1911yescharacteristic
923#478C22×C1911yescharacteristic
924#477C22×C1911yescharacteristic, complemented
925#477C22×C1911yescharacteristic, complemented
926#477C22×C1911yescharacteristic, complemented
927#476C22×C1911yescharacteristic
928#476C22×C1911yescharacteristic
929#476C22×C1911yescharacteristic
930#476C22×C1911yescharacteristic
931#475C22×C1911yescharacteristic, complemented
932#475C22×C1911yescharacteristic, complemented
933#475C22×C1911yescharacteristic, complemented
934#475C22×C1911yescharacteristic, complemented
935#474C22×C1911yescharacteristic
936#474C22×C1911yescharacteristic
937#474C22×C1911yescharacteristic
938#470C22×C1911yescharacteristic
939#470C22×C1911yescharacteristic
940#470C22×C1911yescharacteristic, complemented
941#468C22×C1911yescharacteristic
942#467C22×C1911yescharacteristic
943#467C22×C1911yescharacteristic
944#467C22×C1911yescharacteristic, complemented
945#467C22×C1911yescharacteristic, complemented
946#467C22×C1911yescharacteristic, complemented
947#465C22×C1911yescharacteristic
948#465C22×C1911yescharacteristic
949#465C22×C1911yescharacteristic
950#464C22×C1911yescharacteristic
951#464C22×C1911yescharacteristic
952#464C22×C1911yescharacteristic
953#464C22×C1911yescharacteristic
954#462C22×C1911yescharacteristic, complemented
955#462C22×C1911yescharacteristic, complemented
956#462C22×C1911yescharacteristic, complemented
957#462C22×C1911yescharacteristic, complemented
958#461C22×C1911yescharacteristic
959#461C22×C1911yescharacteristic
960#452C22×C1911yescharacteristic
961#452C22×C1911yescharacteristic
962#452C22×C1911yescharacteristic
963#452C22×C1911yescharacteristic
964#450C22×C1911yescharacteristic
965#450C22×C1911yescharacteristic
966#446C22×C1911yescharacteristic, complemented
967#446C22×C1911yescharacteristic, complemented
968#441C22×C1911yescharacteristic, complemented
969#441C22×C1911yescharacteristic, complemented
970#441C22×C1911yescharacteristic, complemented
971#440C22×C1911yescharacteristic
972#440C22×C1911yescharacteristic
973#440C22×C1911yescharacteristic
974#440C22×C1911yescharacteristic
975#440C22×C1911yescharacteristic
976C4×Q16C22×C1911yescharacteristic, complemented
977C4×SD16C22×C1911yescharacteristic
978C4×SD16C22×C1911yescharacteristic
979C4×SD16C22×C1911yescharacteristic
980#435C22×C1911yescharacteristic
981#435C22×C1911yescharacteristic
982#435C22×C1911yescharacteristic
983#435C22×C1911yescharacteristic, complemented
984C8×D4C22×C1911yescharacteristic
985C8×D4C22×C1911yescharacteristic, complemented
986#433C22×C1911yescharacteristic
987#433C22×C1911yescharacteristic, complemented
988#432C22×C1911yescharacteristic, complemented
989#428C22×C1911yescharacteristic
990#428C22×C1911yescharacteristic, complemented
991#427C22×C1911yescharacteristic
992#427C22×C1911yescharacteristic, complemented
993#427C22×C1911yescharacteristic, complemented
994C2×#106C22×C1911yescharacteristic, complemented
995#424C22×C1911yescharacteristic
996#424C22×C1911yescharacteristic, complemented
997C2×C4⋊C8C22×C1911yescharacteristic, complemented
998#418C22×C1911yescharacteristic
999#417C22×C1911yescharacteristic
1000#416C22×C1911yescharacteristic
1001#416C22×C1911yescharacteristic
1002#416C22×C1911yescharacteristic
1003C2×#102C22×C1911yescharacteristic
1004C2×C19—41no—
1005C2×C19—41no—
1006C2×C19—41no—
1007C2×C19—42no—
1008C2×C19—81no—
1009C2×C19#348911yescharacteristic
1010C2×C19#358411yescharacteristic
1011C2×C19#358611yescharacteristic
1012C2×#41C23×C1911yescharacteristic
1013C2×#41C23×C1911yescharacteristic
1014C22×D4C23×C1911yescharacteristic
1015C2×Q16C23×C1911yescharacteristic
1016C2×Q16C23×C1911yescharacteristic
1017C2×Q16C23×C1911yescharacteristic
1018C2×Q16C23×C1911yescharacteristic
1019C2×SD16C23×C1911yescharacteristic
1020C2×SD16C23×C1911yescharacteristic
1021C2×SD16C23×C1911yescharacteristic
1022C2×SD16C23×C1911yescharacteristic
1023C2×M16C23×C1911yescharacteristic
1024C2×M16C23×C1911yescharacteristic
1025C22×C8C23×C1911yescharacteristic
1026C22×C8C23×C1911yescharacteristic
1027C22×C8C23×C1911yescharacteristic
1028C22×C8C23×C1911yescharacteristic
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—21no—
1033C4⋊Q8—21no—
1034C4⋊Q8—21no—
1035C4⋊Q8C23×C1911yescharacteristic
1036C4⋊Q8C23×C1911yescharacteristic
1037C4⋊Q8C23×C1911yescharacteristic
1038C4⋊Q8C23×C1911yescharacteristic
1039C4⋊Q8C23×C1911yescharacteristic
1040C4⋊Q8C23×C1911yescharacteristic
1041C4⋊Q8C23×C1911yescharacteristic
1042C4⋊Q8C23×C1911yescharacteristic
1043#126—21no—
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—21no—
1053#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—21no—
1057#126—21no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—21no—
1062#126—21no—
1063#126—21no—
1064#126—21no—
1065#126D4×C1911yescharacteristic
1066#126D4×C1911yescharacteristic
1067#125—21no—
1068#125—21no—
1069#125—21no—
1070#125—21no—
1071#125—21no—
1072#125—21no—
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#125C23×C1911yescharacteristic
1089#124—21no—
1090#124—21no—
1091#124—21no—
1092#124—21no—
1093#124—21no—
1094#124D4×C1911yescharacteristic
1095#124C23×C1911yescharacteristic
1096#124C23×C1911yescharacteristic
1097#123—21no—
1098#123—21no—
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#123D4×C1911yescharacteristic
1108#123D4×C1911yescharacteristic
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—21no—
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8D4×C1911yescharacteristic
1124C22⋊Q8C23×C1911yescharacteristic
1125C22⋊Q8C23×C1911yescharacteristic
1126C22⋊Q8C23×C1911yescharacteristic
1127C22⋊Q8C23×C1911yescharacteristic
1128C22⋊Q8C23×C1911yescharacteristic
1129C22⋊Q8C23×C1911yescharacteristic
1130C22⋊Q8C23×C1911yescharacteristic
1131C22⋊Q8C23×C1911yescharacteristic
1132C22⋊Q8C23×C1911yescharacteristic
1133C22⋊Q8C23×C1911yescharacteristic
1134#121—21no—
1135#121—21no—
1136#121—21no—
1137#121—21no—
1138#121D4×C1911yescharacteristic
1139#121C23×C1911yescharacteristic
1140#121C23×C1911yescharacteristic
1141#120—21no—
1142#120—21no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—21no—
1147C4×Q8—21no—
1148C4×Q8—21no—
1149C4×Q8—21no—
1150C4×Q8—21no—
1151C4×Q8—21no—
1152C4×Q8C23×C1911yescharacteristic
1153C4×Q8C23×C1911yescharacteristic
1154C4×Q8C23×C1911yescharacteristic
1155C4×Q8C23×C1911yescharacteristic
1156C4×Q8C23×C1911yescharacteristic
1157C4×Q8C23×C1911yescharacteristic
1158C4×Q8C23×C1911yescharacteristic
1159C4×Q8C23×C1911yescharacteristic
1160C4×Q8C23×C1911yescharacteristic
1161C4×Q8C23×C1911yescharacteristic
1162C4×Q8C23×C1911yescharacteristic
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—21no—
1171C4×D4—21no—
1172C4×D4C23×C1911yescharacteristic
1173C4×D4C23×C1911yescharacteristic
1174C4×D4C23×C1911yescharacteristic
1175C4×D4C23×C1911yescharacteristic
1176C4×D4C23×C1911yescharacteristic
1177C4×D4C23×C1911yescharacteristic
1178C4×D4C23×C1911yescharacteristic
1179C4×D4C23×C1911yescharacteristic
1180C4×D4C23×C1911yescharacteristic
1181#117—21no—
1182#117—21no—
1183#117—21no—
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117C23×C1911yescharacteristic
1190#117C23×C1911yescharacteristic
1191#117C23×C1911yescharacteristic
1192#117C23×C1911yescharacteristic
1193#117C23×C1911yescharacteristic
1194#117C23×C1911yescharacteristic
1195#117C23×C1911yescharacteristic
1196#117C23×C1911yescharacteristic
1197C2×C4⋊C4—21no—
1198C2×C4⋊C4—21no—
1199C2×C4⋊C4—21no—
1200C2×C4⋊C4C23×C1911yescharacteristic
1201C2×C4⋊C4C23×C1911yescharacteristic
1202C2×C4⋊C4C23×C1911yescharacteristic
1203C2×C22⋊C4—21no—
1204C2×C22⋊C4—21no—
1205C2×C22⋊C4—21no—
1206C2×C22⋊C4—21no—
1207C2×C42—21no—
1208C2×C42C23×C1911yescharacteristic
1209#107C23×C1911yescharacteristic
1210#107C23×C1911yescharacteristic
1211#107C23×C1911yescharacteristic
1212#107C23×C1911yescharacteristic
1213#107C23×C1911yescharacteristic
1214#107C23×C1911yescharacteristic
1215#107C23×C1911yescharacteristic
1216#107C23×C1911yescharacteristic
1217#107C23×C1911yescharacteristic
1218#107C23×C1911yescharacteristic
1219#107C23×C1911yescharacteristic
1220#107C23×C1911yescharacteristic
1221#106C23×C1911yescharacteristic
1222#106C23×C1911yescharacteristic
1223#106C23×C1911yescharacteristic
1224#106C23×C1911yescharacteristic
1225#106C23×C1911yescharacteristic
1226#106C23×C1911yescharacteristic
1227#106C23×C1911yescharacteristic
1228#106C23×C1911yescharacteristic
1229#106C23×C1911yescharacteristic
1230#106C23×C1911yescharacteristic
1231#106C23×C1911yescharacteristic
1232#106C23×C1911yescharacteristic
1233C4⋊C8C23×C1911yescharacteristic
1234C4⋊C8C23×C1911yescharacteristic
1235C4⋊C8C23×C1911yescharacteristic
1236C4⋊C8C23×C1911yescharacteristic
1237C4⋊C8C23×C1911yescharacteristic
1238C4⋊C8C23×C1911yescharacteristic
1239C4⋊C8C23×C1911yescharacteristic
1240C4⋊C8C23×C1911yescharacteristic
1241C4⋊C8C23×C1911yescharacteristic
1242C4⋊C8C23×C1911yescharacteristic
1243#103C23×C1911yescharacteristic
1244#103C23×C1911yescharacteristic
1245#103C23×C1911yescharacteristic
1246#103C23×C1911yescharacteristic
1247#103C23×C1911yescharacteristic
1248#103C23×C1911yescharacteristic
1249#103C23×C1911yescharacteristic
1250#103C23×C1911yescharacteristic
1251#103C23×C1911yescharacteristic
1252#103C23×C1911yescharacteristic
1253#103C23×C1911yescharacteristic
1254#103C23×C1911yescharacteristic
1255#103C23×C1911yescharacteristic
1256#103C23×C1911yescharacteristic
1257#103C23×C1911yescharacteristic
1258#103C23×C1911yescharacteristic
1259#103C23×C1911yescharacteristic
1260#103C23×C1911yescharacteristic
1261#103C23×C1911yescharacteristic
1262#103C23×C1911yescharacteristic
1263#102C23×C1911yescharacteristic
1264#102C23×C1911yescharacteristic
1265#102C23×C1911yescharacteristic
1266#102C23×C1911yescharacteristic
1267#102C23×C1911yescharacteristic
1268#102C23×C1911yescharacteristic
1269#102C23×C1911yescharacteristic
1270#102C23×C1911yescharacteristic
1271#102C23×C1911yescharacteristic
1272#102C23×C1911yescharacteristic
1273#102C23×C1911yescharacteristic
1274#102C23×C1911yescharacteristic
1275C22⋊C8C23×C1911yescharacteristic
1276C22⋊C8C23×C1911yescharacteristic
1277C22⋊C8C23×C1911yescharacteristic
1278C22⋊C8C23×C1911yescharacteristic
1279C22⋊C8C23×C1911yescharacteristic
1280C22⋊C8C23×C1911yescharacteristic
1281#97C23×C1911yescharacteristic
1282#97C23×C1911yescharacteristic
1283#97C23×C1911yescharacteristic
1284#97C23×C1911yescharacteristic
1285C4×C8C23×C1911yescharacteristic
1286C4×C8C23×C1911yescharacteristic
1287C19#6217211yescharacteristic, direct product factor, Sylow
1288C24—21no—
1289#41—22no—
1290#41—22no—
1291#41—41no—
1292#41—41no—
1293C2×Q8—21no—
1294C2×Q8—21no—
1295C2×Q8—21no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—21no—
1299C2×Q8C2×D4×C1911yescharacteristic
1300C2×Q8C24×C1911yescharacteristic
1301C2×Q8C24×C1911yescharacteristic
1302C2×Q8C24×C1911yescharacteristic
1303C2×Q8C24×C1911yescharacteristic
1304C2×D4—22no—
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—21no—
1310C2×D4—41no—
1311C2×D4C2×D4×C1911yescharacteristic
1312C2×D4C2×D4×C1911yescharacteristic
1313C2×D4C2×D4×C1911yescharacteristic
1314C2×D4C24×C1911yescharacteristic
1315C2×D4C24×C1911yescharacteristic
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4C2×D4×C1911yescharacteristic
1328C22×C4C2×D4×C1911yescharacteristic
1329C22×C4C24×C1911yescharacteristic
1330C22×C4C24×C1911yescharacteristic
1331C22×C4C24×C1911yescharacteristic
1332Q16—41no—
1333Q16—41no—
1334Q16—41no—
1335Q16—41no—
1336SD16—22no—
1337SD16—22no—
1338SD16—41no—
1339SD16—41no—
1340M16—41no—
1341M16—41no—
1342C2×C8—41no—
1343C2×C8—41no—
1344C2×C8—41no—
1345C2×C8—41no—
1346C2×C8C24×C1911yescharacteristic
1347C2×C8C24×C1911yescharacteristic
1348C2×C8C24×C1911yescharacteristic
1349C2×C8C24×C1911yescharacteristic
1350C2×C8C24×C1911yescharacteristic
1351C2×C8C24×C1911yescharacteristic
1352C2×C8C24×C1911yescharacteristic
1353C2×C8C24×C1911yescharacteristic
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1400C4⋊C4C2×D4×C1911yescharacteristic
1401C4⋊C4C2×D4×C1911yescharacteristic
1402C4⋊C4C2×D4×C1911yescharacteristic
1403C4⋊C4C2×D4×C1911yescharacteristic
1404C4⋊C4C2×D4×C1911yescharacteristic
1405C4⋊C4C2×D4×C1911yescharacteristic
1406C4⋊C4C2×D4×C1911yescharacteristic
1407C4⋊C4C2×D4×C1911yescharacteristic
1408C4⋊C4C2×D4×C1911yescharacteristic
1409C4⋊C4C24×C1911yescharacteristic
1410C4⋊C4C24×C1911yescharacteristic
1411C4⋊C4C24×C1911yescharacteristic
1412C4⋊C4C24×C1911yescharacteristic
1413C4⋊C4C24×C1911yescharacteristic
1414C4⋊C4C24×C1911yescharacteristic
1415C4⋊C4C24×C1911yescharacteristic
1416C4⋊C4C24×C1911yescharacteristic
1417C4⋊C4C24×C1911yescharacteristic
1418C4⋊C4C24×C1911yescharacteristic
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1448C22⋊C4C2×D4×C1911yescharacteristic
1449C22⋊C4C2×D4×C1911yescharacteristic
1450C22⋊C4C2×D4×C1911yescharacteristic
1451C22⋊C4C2×D4×C1911yescharacteristic
1452C22⋊C4C2×D4×C1911yescharacteristic
1453C22⋊C4C2×D4×C1911yescharacteristic
1454C22⋊C4C2×D4×C1911yescharacteristic
1455C22⋊C4C2×D4×C1911yescharacteristic
1456C22⋊C4C2×D4×C1911yescharacteristic
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42C2×D4×C1911yescharacteristic
1474C42C2×D4×C1911yescharacteristic
1475C42C24×C1911yescharacteristic
1476C42C24×C1911yescharacteristic
1477C42C24×C1911yescharacteristic
1478C42C24×C1911yescharacteristic
1479C23—21no—
1480C23—21no—
1481C23—42no—
1482C23—81no—
1483C23—81no—
1484C23C22×D4×C1911yescharacteristic
1485C23C22×D4×C1911yescharacteristic
1486C23C22×D4×C1911yescharacteristic
1487Q8—21no—
1488Q8—21no—
1489Q8—21no—
1490Q8—21no—
1491Q8—21no—
1492Q8—21no—
1493Q8—21no—
1494Q8—21no—
1495Q8—41no—
1496Q8—42no—
1497Q8—81no—
1498Q8—81no—
1499Q8—81no—
1500Q8—81no—
1501Q8—81no—
1502D4—21no—
1503D4—21no—
1504D4—21no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—42no—
1509D4—42no—
1510D4—42no—
1511D4—81no—
1512D4—81no—
1513D4C19×2−1+412yes—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—42no—
1537C2×C4—42no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—81no—
1547C2×C4C22×D4×C1911yescharacteristic
1548C2×C4C22×D4×C1911yescharacteristic
1549C2×C4C22×D4×C1911yescharacteristic
1550C2×C4C22×D4×C1911yescharacteristic
1551C2×C4C22×D4×C1911yescharacteristic
1552C2×C4C22×D4×C1911yescharacteristic
1553C2×C4C22×D4×C1911yescharacteristic
1554C2×C4C22×D4×C1911yescharacteristic
1555C2×C4C22×D4×C1911yescharacteristic
1556C2×C4C22×D4×C1911yescharacteristic
1557C2×C4C22×D4×C1911yescharacteristic
1558C2×C4C25×C1911yescharacteristic
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—22no—
1571C22—21no—
1572C22—21no—
1573C22—21no—
1574C22—21no—
1575C22—21no—
1576C22—21no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—162no—
1583C22C23×D4×C1911yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4C2×C19×2−1+411yescharacteristic
1610C4C19×#58511yescharacteristic
1611C2—41no—
1612C2—41no—
1613C2—41no—
1614C2—42no—
1615C2—81no—
1616C2C19×#348911yescharacteristic
1617C2C19×#358411yescharacteristic
1618C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
prime radicalC19×#3521C2
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×#3555C2semidirect
3. C19×#3388C2semidirect
4. C19×#3385C2semidirect
5. C19×#3377C2semidirect
6. C19×#3369C2semidirect
7. C19×#3350C2semidirect
8. C19×#3349C2semidirect
9. C19×#3349C2semidirect
10. C19×#3344C2semidirect
11. C19×#3342C2semidirect
12. C19×#3337C2semidirect
13. C19×#3315C2semidirect
14. C19×#3314C2semidirect
15. C19×#3311C2semidirect
16. C19×#3311C2semidirect
17. C19×#3302C2semidirect
18. C19×#3296C2semidirect
19. C19×#3261C2semidirect
20. C19×#3258C2semidirect
21. C19×#3248C2semidirect
22. C19×#3243C2semidirect
23. C19×#3242C2semidirect
24. C19×#3240C2semidirect
25. C19×#3123C2semidirect
26. C19×#3120C2semidirect
27. C19×#3116C2semidirect
28. C19×#3084C2semidirect
29. C19×#3081C2semidirect
30. C19×#3076C2semidirect
31. C19×#2992C2semidirect
34. Q82×C19C22semidirect
36. C19×#557C22semidirect
42. C19×#556C22semidirect
50. C19×#552C22semidirect
57. C19×#544C22semidirect
65. C19×#541C22semidirect
68. C19×#533C22semidirect
69. C19×#533C22semidirect
77. C19×#501C22semidirect
78. C19×#501C22semidirect
79. C19×#501C22semidirect
80. C19×#501C22semidirect
81. C19×#500C22semidirect
82. C19×#499C22semidirect
83. C19×#491C22semidirect
88. C19×#487C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#485C22semidirect
99. C19×#484C22semidirect
100. C19×#484C22semidirect
102. C19×#483C22semidirect
107. C19×#479C22semidirect
108. C19×#479C22semidirect
109. C19×#479C22semidirect
110. C19×#479C22semidirect
111. C19×#479C22semidirect
112. C19×#479C22semidirect
113. C19×#479C22semidirect
114. C19×#479C22semidirect
115. C19×#479C22semidirect
123. C19×#477C22semidirect
124. C19×#477C22semidirect
125. C19×#477C22semidirect
130. C19×#475C22semidirect
131. C19×#475C22semidirect
132. C19×#475C22semidirect
133. C19×#475C22semidirect
139. C19×#470C22semidirect
143. C19×#467C22semidirect
144. C19×#467C22semidirect
145. C19×#467C22semidirect
153. C19×#462C22semidirect
154. C19×#462C22semidirect
155. C19×#462C22semidirect
156. C19×#462C22semidirect
165. C19×#446C22semidirect
166. C19×#446C22semidirect
167. C19×#441C22semidirect
168. C19×#441C22semidirect
169. C19×#441C22semidirect
175. C4×Q16×C19C22semidirect
182. C19×#435C22semidirect
184. C8×D4×C19C22semidirect
186. C19×#433C22semidirect
187. C19×#432C22semidirect
189. C19×#428C22semidirect
191. C19×#427C22semidirect
192. C19×#427C22semidirect
193. C2×C19×#106C22semidirect
195. C19×#424C22semidirect
196. C2×C19×C4⋊C8C22semidirect
669. #62172C19direct (N × H)
758. #3555C2×C19semidirect
760. #3388C2×C19semidirect
761. #3385C2×C19semidirect
762. #3377C2×C19semidirect
763. #3369C2×C19semidirect
764. #3350C2×C19semidirect
765. #3349C2×C19semidirect
766. #3349C2×C19semidirect
767. #3344C2×C19semidirect
768. #3342C2×C19semidirect
769. #3337C2×C19semidirect
770. #3315C2×C19semidirect
771. #3314C2×C19semidirect
772. #3311C2×C19semidirect
773. #3311C2×C19semidirect
774. #3302C2×C19semidirect
775. #3296C2×C19semidirect
776. #3261C2×C19semidirect
777. #3258C2×C19semidirect
778. #3248C2×C19semidirect
779. #3243C2×C19semidirect
780. #3242C2×C19semidirect
781. #3240C2×C19semidirect
782. #3123C2×C19semidirect
783. #3120C2×C19semidirect
784. #3116C2×C19semidirect
785. #3084C2×C19semidirect
786. #3081C2×C19semidirect
787. #3076C2×C19semidirect
788. #2992C2×C19semidirect
835. Q82C22×C19semidirect
837. #557C22×C19semidirect
843. #556C22×C19semidirect
851. #552C22×C19semidirect
858. #544C22×C19semidirect
866. #541C22×C19semidirect
869. #533C22×C19semidirect
870. #533C22×C19semidirect
878. #501C22×C19semidirect
879. #501C22×C19semidirect
880. #501C22×C19semidirect
881. #501C22×C19semidirect
882. #500C22×C19semidirect
883. #499C22×C19semidirect
884. #491C22×C19semidirect
889. #487C22×C19semidirect
894. #485C22×C19semidirect
895. #485C22×C19semidirect
896. #485C22×C19semidirect
897. #485C22×C19semidirect
898. #485C22×C19semidirect
900. #484C22×C19semidirect
901. #484C22×C19semidirect
903. #483C22×C19semidirect
908. #479C22×C19semidirect
909. #479C22×C19semidirect
910. #479C22×C19semidirect
911. #479C22×C19semidirect
912. #479C22×C19semidirect
913. #479C22×C19semidirect
914. #479C22×C19semidirect
915. #479C22×C19semidirect
916. #479C22×C19semidirect
924. #477C22×C19semidirect
925. #477C22×C19semidirect
926. #477C22×C19semidirect
931. #475C22×C19semidirect
932. #475C22×C19semidirect
933. #475C22×C19semidirect
934. #475C22×C19semidirect
940. #470C22×C19semidirect
944. #467C22×C19semidirect
945. #467C22×C19semidirect
946. #467C22×C19semidirect
954. #462C22×C19semidirect
955. #462C22×C19semidirect
956. #462C22×C19semidirect
957. #462C22×C19semidirect
966. #446C22×C19semidirect
967. #446C22×C19semidirect
968. #441C22×C19semidirect
969. #441C22×C19semidirect
970. #441C22×C19semidirect
976. C4×Q16C22×C19semidirect
983. #435C22×C19semidirect
985. C8×D4C22×C19semidirect
987. #433C22×C19semidirect
988. #432C22×C19semidirect
990. #428C22×C19semidirect
992. #427C22×C19semidirect
993. #427C22×C19semidirect
994. C2×#106C22×C19semidirect
996. #424C22×C19semidirect
997. C2×C4⋊C8C22×C19semidirect
1287. C19#62172direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35552
C19×#35212
C19×#33882
C19×#33852
C19×#33772
C19×#33692
C19×#33502
C19×#33492
C19×#33442
C19×#33422
C19×#33372
C19×#33152
C19×#33142
C19×#33112
C19×#33022
C19×#32962
C19×#32612
C19×#32582
C19×#32482
C19×#32432
C19×#32422
C19×#32402
C19×#31232
C19×#31202
C19×#31162
C19×#30842
C19×#30812
C19×#30762
C19×#29922
#6217219