Finite Group Databasebeta

← C19×#61768 #18067727

Subgroups — C19×#61768 #18067727

Order 4864.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3539C211yesmaximal, characteristic, complemented
2C19×#3493C211yesmaximal, characteristic, complemented
3C19×#3350C211yesmaximal, characteristic, complemented
4C19×#3349C211yesmaximal, characteristic, complemented
5C19×#3348C211yesmaximal, characteristic, complemented
6C19×#3347C211yesmaximal, characteristic, complemented
7C19×#3339C211yesmaximal, characteristic, complemented
8C19×#3337C211yesmaximal, characteristic, complemented
9C19×#3337C211yesmaximal, characteristic, complemented
10C19×#3336C211yesmaximal, characteristic, complemented
11C19×#3317C211yesmaximal, characteristic, complemented
12C19×#3315C211yesmaximal, characteristic, complemented
13C19×#3309C211yesmaximal, characteristic, complemented
14C19×#3307C211yesmaximal, characteristic, complemented
15C19×#3305C211yesmaximal, characteristic, complemented
16C19×#3304C211yesmaximal, characteristic, complemented
17C19×#3303C211yesmaximal, characteristic, complemented
18C19×#3302C211yesmaximal, characteristic, complemented
19C19×#3242C211yesmaximal, characteristic, complemented
20C19×#3241C211yesmaximal, characteristic, complemented
21C19×#3204C211yesmaximal, characteristic, complemented
22C19×#3203C211yesmaximal, characteristic, complemented
23C19×#3191C211yesmaximal, characteristic, complemented
24C19×#3191C211yesmaximal, characteristic, complemented
25C19×#3120C211yesmaximal, characteristic, complemented
26C19×#3119C211yesmaximal, characteristic, complemented
27C19×#3099C211yesmaximal, characteristic, complemented
28C19×#3098C211yesmaximal, characteristic, complemented
29C19×#3091C211yesmaximal, characteristic, complemented
30C19×#3091C211yesmaximal, characteristic, complemented
31C19×#2977C211yesmaximal, characteristic, complemented
32C19×#560—21no—
33C19×#560—21no—
34C19×#556—21no—
35C19×#556C2211yescharacteristic
36C19×#556C2211yescharacteristic
37C19×#555—21no—
38C19×#555C2211yescharacteristic
39C19×#555C2211yescharacteristic
40C19×#553—21no—
41C19×#553—21no—
42C19×#553—21no—
43C19×#553C2211yescharacteristic
44C19×#553C2211yescharacteristic
45C19×#553C2211yescharacteristic
46C19×#553C2211yescharacteristic
47C19×#552—21no—
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic
50C19×#552C2211yescharacteristic
51C19×#552C2211yescharacteristic
52C19×#550C2211yescharacteristic
53C19×#550C2211yescharacteristic
54C19×#547C2211yescharacteristic
55C19×#547C2211yescharacteristic
56C19×#544C2211yescharacteristic
57C19×#541C2211yescharacteristic
58C19×#540—21no—
59C19×#540—21no—
60C19×#540C2211yescharacteristic
61C19×#539—21no—
62C19×#539—21no—
63C19×#538—21no—
64C19×#538—21no—
65C19×#537C2211yescharacteristic
66C19×#537C2211yescharacteristic
67C19×#537C2211yescharacteristic
68C19×#529—21no—
69C19×#529—21no—
70C19×#525C2211yescharacteristic
71C19×#525C2211yescharacteristic
72C19×#525C2211yescharacteristic
73C19×#525C2211yescharacteristic
74C19×#520C2211yescharacteristic
75C19×#520C2211yescharacteristic
76C2×C19×#117C2211yescharacteristic
77C19×#501C2211yescharacteristic, complemented
78C19×#501C2211yescharacteristic, complemented
79C19×#499C2211yescharacteristic, complemented
80C19×#499C2211yescharacteristic, complemented
81C19×#491C2211yescharacteristic, complemented
82C19×#490C2211yescharacteristic, complemented
83C19×#487C2211yescharacteristic, complemented
84C19×#486C2211yescharacteristic, complemented
85C19×#485C2211yescharacteristic
86C19×#485C2211yescharacteristic
87C19×#485C2211yescharacteristic
88C19×#485C2211yescharacteristic
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic, complemented
94C19×#485C2211yescharacteristic, complemented
95C19×#484C2211yescharacteristic
96C19×#484C2211yescharacteristic
97C19×#484C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic
100C19×#483C2211yescharacteristic
101C19×#483C2211yescharacteristic, complemented
102C19×#483C2211yescharacteristic, complemented
103C19×#482C2211yescharacteristic
104C19×#482C2211yescharacteristic
105C19×#482C2211yescharacteristic
106C19×#482C2211yescharacteristic
107C19×#482C2211yescharacteristic
108C19×#482C2211yescharacteristic
109C19×#482C2211yescharacteristic
110C19×#482C2211yescharacteristic
111C19×#482C2211yescharacteristic, complemented
112C19×#482C2211yescharacteristic, complemented
113C19×#481C2211yescharacteristic
114C19×#481C2211yescharacteristic
115C19×#481C2211yescharacteristic, complemented
116C19×#481C2211yescharacteristic, complemented
117C19×#480C2211yescharacteristic
118C19×#480C2211yescharacteristic
119C19×#480C2211yescharacteristic, complemented
120C19×#480C2211yescharacteristic, complemented
121C19×#479C2211yescharacteristic, complemented
122C19×#479C2211yescharacteristic, complemented
123C19×#479C2211yescharacteristic, complemented
124C19×#479C2211yescharacteristic, complemented
125C19×#478C2211yescharacteristic, complemented
126C19×#478C2211yescharacteristic, complemented
127C19×#478C2211yescharacteristic, complemented
128C19×#478C2211yescharacteristic, complemented
129C19×#477C2211yescharacteristic, complemented
130C19×#476C2211yescharacteristic, complemented
131C19×#475C2211yescharacteristic, complemented
132C19×#474C2211yescharacteristic, complemented
133C19×#470C2211yescharacteristic, complemented
134C19×#469C2211yescharacteristic, complemented
135C19×#468C2211yescharacteristic, complemented
136C19×#468C2211yescharacteristic, complemented
137C19×#467C2211yescharacteristic
138C19×#467C2211yescharacteristic
139C19×#467C2211yescharacteristic, complemented
140C19×#466C2211yescharacteristic
141C19×#466C2211yescharacteristic
142C19×#466C2211yescharacteristic, complemented
143C19×#465C2211yescharacteristic
144C19×#465C2211yescharacteristic
145C19×#465C2211yescharacteristic
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic, complemented
148C19×#465C2211yescharacteristic, complemented
149C19×#462C2211yescharacteristic, complemented
150C19×#461C2211yescharacteristic, complemented
151C19×#460C2211yescharacteristic, complemented
152C19×#459C2211yescharacteristic, complemented
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic
156C19×#452C2211yescharacteristic
157C19×#452C2211yescharacteristic, complemented
158C19×#452C2211yescharacteristic, complemented
159C19×#449C2211yescharacteristic
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#449C2211yescharacteristic, complemented
164C19×#449C2211yescharacteristic, complemented
165C19×#442C2211yescharacteristic, complemented
166C19×#441C2211yescharacteristic, complemented
167C19×#440C2211yescharacteristic, complemented
168C19×#440C2211yescharacteristic, complemented
169C4×Q16×C19C2211yescharacteristic, complemented
170C4×SD16×C19C2211yescharacteristic, complemented
171C4×SD16×C19C2211yescharacteristic, complemented
172C4×D8×C19C2211yescharacteristic, complemented
173C19×#435C2211yescharacteristic
174C19×#435C2211yescharacteristic
175C19×#435C2211yescharacteristic
176C19×#435C2211yescharacteristic
177C8×D4×C19C2211yescharacteristic
178C8×D4×C19C2211yescharacteristic
179C8×D4×C19C2211yescharacteristic
180C8×D4×C19C2211yescharacteristic
181C19×#433C2211yescharacteristic
182C19×#433C2211yescharacteristic
183C19×#428C2211yescharacteristic, complemented
184C19×#428C2211yescharacteristic, complemented
185C19×#427C2211yescharacteristic
186C19×#427C2211yescharacteristic
187C19×#427C2211yescharacteristic
188C19×#427C2211yescharacteristic
189C2×C19×#107C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic, complemented
191C19×#417C2211yescharacteristic, complemented
192C19×#417C2211yescharacteristic, complemented
193C19×#416C2211yescharacteristic
194C19×#416C2211yescharacteristic
195C19×#416C2211yescharacteristic
196C19×#416C2211yescharacteristic
197C19×#416C2211yescharacteristic, complemented
198C19×#416C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic
200C19×#408C2211yescharacteristic
201C2×C19×C22⋊C8C2211yescharacteristic
202C2×C19×C22⋊C8C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C2×#41×C19C2311yescharacteristic
208C2×#41×C19C2311yescharacteristic
209C23×C4×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×SD16×C19C2311yescharacteristic
213C2×SD16×C19C2311yescharacteristic
214C2×SD16×C19C2311yescharacteristic
215C2×SD16×C19C2311yescharacteristic
216C2×D8×C19C2311yescharacteristic
217C2×D8×C19C2311yescharacteristic
218C2×M16×C19C2311yescharacteristic
219C2×M16×C19C2311yescharacteristic
220C22×C8×C19C2311yescharacteristic
221C22×C8×C19C2311yescharacteristic
222C22×C8×C19C2311yescharacteristic
223C22×C8×C19C2311yescharacteristic
224C22×C8×C19C2311yescharacteristic
225C22×C8×C19C2311yescharacteristic
226C19×C4⋊Q8—21no—
227C19×C4⋊Q8C2311yescharacteristic
228C19×C4⋊Q8C2311yescharacteristic
229C19×C4⋊Q8C2311yescharacteristic
230C19×#127—21no—
231C19×#127—21no—
232C19×#127C2311yescharacteristic
233C19×#126—21no—
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×#125—21no—
248C19×#125—21no—
249C19×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125—21no—
253C19×#125—21no—
254C19×#125C2311yescharacteristic
255C19×#125C2311yescharacteristic
256C19×#125C2311yescharacteristic
257C19×#125C2311yescharacteristic
258C19×#124—21no—
259C19×#124—21no—
260C19×#124—21no—
261C19×#124—21no—
262C19×#124—21no—
263C19×#124—21no—
264C19×#123—21no—
265C19×#123—21no—
266C19×#123—21no—
267C19×#123—21no—
268C19×#123—21no—
269C19×#123—21no—
270C19×#123—21no—
271C19×#123—21no—
272C19×#123—21no—
273C19×#123—21no—
274C19×#123—21no—
275C19×#123—21no—
276C19×#123—21no—
277C19×#123—21no—
278C19×#123—21no—
279C19×#123—21no—
280C19×#123—21no—
281C19×#123D411yescharacteristic
282C19×#123D411yescharacteristic
283C19×C22⋊Q8—21no—
284C19×C22⋊Q8—21no—
285C19×C22⋊Q8—21no—
286C19×C22⋊Q8—21no—
287C19×C22⋊Q8—21no—
288C19×C22⋊Q8D411yescharacteristic
289C19×C22⋊Q8D411yescharacteristic
290C19×C22⋊Q8C2311yescharacteristic
291C19×C22⋊Q8C2311yescharacteristic
292C19×C22⋊Q8C2311yescharacteristic
293C19×C22⋊Q8C2311yescharacteristic
294C19×C22⋊Q8C2311yescharacteristic
295C19×C22⋊Q8C2311yescharacteristic
296C19×C22⋊Q8C2311yescharacteristic
297C19×C22⋊Q8C2311yescharacteristic
298C19×C22⋊Q8C2311yescharacteristic
299C19×C22⋊Q8C2311yescharacteristic
300C19×#121—21no—
301C19×#121—21no—
302C19×#121—21no—
303C19×#121—21no—
304C19×#121—21no—
305C19×#121—21no—
306C19×#121—21no—
307C19×#121—21no—
308C19×#121—21no—
309C19×#121—21no—
310C19×#121—21no—
311C19×#121—21no—
312C19×#121—21no—
313C19×#121—21no—
314C19×#121—21no—
315C19×#121—21no—
316C19×#121—21no—
317C19×#121—21no—
318C19×#121—21no—
319C19×#121—21no—
320C19×#121—21no—
321C19×#121—21no—
322C19×#121—21no—
323C19×#121D411yescharacteristic
324C19×#121D411yescharacteristic
325C19×#121C2311yescharacteristic
326C19×#121C2311yescharacteristic
327C19×#121C2311yescharacteristic
328C19×#121C2311yescharacteristic
329C19×#121C2311yescharacteristic
330C19×#121C2311yescharacteristic
331C19×#121C2311yescharacteristic
332C19×#121C2311yescharacteristic
333C19×#121C2311yescharacteristic
334C19×#121C2311yescharacteristic
335C19×#120—21no—
336C19×#120—21no—
337C19×#120—21no—
338C19×#120D411yescharacteristic
339C19×#120D411yescharacteristic
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×D4×C19—21no—
348C4×D4×C19—21no—
349C4×D4×C19—21no—
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×C19—21no—
362C4×D4×C19—21no—
363C4×D4×C19—21no—
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×#117—21no—
381C19×#117C2311yescharacteristic
382C19×#117C2311yescharacteristic
383C19×#117C2311yescharacteristic
384C19×#117C2311yescharacteristic
385C19×#117C2311yescharacteristic
386C19×#117C2311yescharacteristic
387C19×#117C2311yescharacteristic
388C19×#117C2311yescharacteristic
389C19×#117C2311yescharacteristic
390C19×#117C2311yescharacteristic
391C2×C4⋊C4×C19—21no—
392C2×C4⋊C4×C19—21no—
393C2×C4⋊C4×C19—21no—
394C2×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C4⋊C4×C19C2311yescharacteristic
397C2×C4⋊C4×C19C2311yescharacteristic
398C2×C4⋊C4×C19C2311yescharacteristic
399C2×C4⋊C4×C19C2311yescharacteristic
400C2×C22⋊C4×C19—21no—
401C2×C42×C19—21no—
402C19×#107C2311yescharacteristic
403C19×#107C2311yescharacteristic
404C19×#107C2311yescharacteristic
405C19×#107C2311yescharacteristic
406C19×#107C2311yescharacteristic
407C19×#107C2311yescharacteristic
408C19×#107C2311yescharacteristic
409C19×#107C2311yescharacteristic
410C19×#107C2311yescharacteristic
411C19×#107C2311yescharacteristic
412C19×#107C2311yescharacteristic
413C19×#107C2311yescharacteristic
414C19×#106C2311yescharacteristic
415C19×#106C2311yescharacteristic
416C19×#106C2311yescharacteristic
417C19×#106C2311yescharacteristic
418C19×#106C2311yescharacteristic
419C19×#106C2311yescharacteristic
420C19×#106C2311yescharacteristic
421C19×#106C2311yescharacteristic
422C19×#106C2311yescharacteristic
423C19×#106C2311yescharacteristic
424C19×#106C2311yescharacteristic
425C19×#106C2311yescharacteristic
426C19×C4⋊C8C2311yescharacteristic
427C19×C4⋊C8C2311yescharacteristic
428C19×C4⋊C8C2311yescharacteristic
429C19×C4⋊C8C2311yescharacteristic
430C19×#103C2311yescharacteristic
431C19×#103C2311yescharacteristic
432C19×#103C2311yescharacteristic
433C19×#103C2311yescharacteristic
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×#102C2311yescharacteristic
447C19×#102C2311yescharacteristic
448C19×#102C2311yescharacteristic
449C19×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
463C19×C22⋊C8C2311yescharacteristic
464C19×C22⋊C8C2311yescharacteristic
465C19×C22⋊C8C2311yescharacteristic
466C19×C22⋊C8C2311yescharacteristic
467C19×C22⋊C8C2311yescharacteristic
468C19×C22⋊C8C2311yescharacteristic
469C19×C22⋊C8C2311yescharacteristic
470C19×C22⋊C8C2311yescharacteristic
471C19×C22⋊C8C2311yescharacteristic
472C19×C22⋊C8C2311yescharacteristic
473C19×C22⋊C8C2311yescharacteristic
474C19×#97C2311yescharacteristic
475C19×#97C2311yescharacteristic
476C4×C8×C19C2311yescharacteristic
477C4×C8×C19C2311yescharacteristic
478C24×C19C2×D411yescharacteristic
479#41×C19—41no—
480#41×C19—41no—
481#41×C19—41no—
482#41×C19—41no—
483#41×C19—41no—
484#41×C19—41no—
485#41×C19—41no—
486#41×C19—41no—
487#41×C19—41no—
488#41×C19—41no—
489#41×C19—41no—
490#41×C19—41no—
491C2×Q8×C19—21no—
492C2×Q8×C19—21no—
493C2×Q8×C19C2×D411yescharacteristic
494C2×Q8×C19C2411yescharacteristic
495C2×Q8×C19C2411yescharacteristic
496C2×Q8×C19C2411yescharacteristic
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—21no—
506C2×D4×C19—21no—
507C2×D4×C19—21no—
508C2×D4×C19—21no—
509C2×D4×C19—21no—
510C2×D4×C19—21no—
511C2×D4×C19—21no—
512C2×D4×C19—21no—
513C2×D4×C19—21no—
514C2×D4×C19C2×D411yescharacteristic
515C2×D4×C19C2×D411yescharacteristic
516C2×D4×C19C2×D411yescharacteristic
517C2×D4×C19C2×D411yescharacteristic
518C2×D4×C19C2×D411yescharacteristic
519C2×D4×C19C2×D411yescharacteristic
520C2×D4×C19C2×D411yescharacteristic
521C2×D4×C19C2411yescharacteristic
522C2×D4×C19C2411yescharacteristic
523C2×D4×C19C2411yescharacteristic
524C22×C4×C19—21no—
525C22×C4×C19—21no—
526C22×C4×C19—21no—
527C22×C4×C19—21no—
528C22×C4×C19—21no—
529C22×C4×C19—21no—
530C22×C4×C19—21no—
531C22×C4×C19—21no—
532C22×C4×C19—21no—
533C22×C4×C19—21no—
534C22×C4×C19—21no—
535C22×C4×C19—21no—
536C22×C4×C19—21no—
537C22×C4×C19—21no—
538C22×C4×C19—21no—
539C22×C4×C19—41no—
540C22×C4×C19—41no—
541C22×C4×C19C2×D411yescharacteristic
542C22×C4×C19C2×D411yescharacteristic
543C22×C4×C19C2×D411yescharacteristic
544C22×C4×C19C2411yescharacteristic
545C22×C4×C19C2411yescharacteristic
546C22×C4×C19C2411yescharacteristic
547C22×C4×C19C2411yescharacteristic
548C22×C4×C19C2411yescharacteristic
549Q16×C19—41no—
550Q16×C19—41no—
551SD16×C19—41no—
552SD16×C19—41no—
553SD16×C19—41no—
554SD16×C19—41no—
555D8×C19—41no—
556D8×C19—41no—
557M16×C19—41no—
558M16×C19—41no—
559C2×C8×C19—41no—
560C2×C8×C19—41no—
561C2×C8×C19—41no—
562C2×C8×C19—41no—
563C2×C8×C19—41no—
564C2×C8×C19—41no—
565C2×C8×C19C2411yescharacteristic
566C2×C8×C19C2411yescharacteristic
567C2×C8×C19C2411yescharacteristic
568C2×C8×C19C2411yescharacteristic
569C2×C8×C19C2411yescharacteristic
570C2×C8×C19C2411yescharacteristic
571C2×C8×C19C2411yescharacteristic
572C2×C8×C19C2411yescharacteristic
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×C19—21no—
595C4⋊C4×C19—21no—
596C4⋊C4×C19—21no—
597C4⋊C4×C19—21no—
598C4⋊C4×C19—21no—
599C4⋊C4×C19—21no—
600C4⋊C4×C19—21no—
601C4⋊C4×C19—21no—
602C4⋊C4×C19—21no—
603C4⋊C4×C19—21no—
604C4⋊C4×C19—21no—
605C4⋊C4×C19C2×D411yescharacteristic
606C4⋊C4×C19C2×D411yescharacteristic
607C4⋊C4×C19C2×D411yescharacteristic
608C4⋊C4×C19C2×D411yescharacteristic
609C4⋊C4×C19C2×D411yescharacteristic
610C4⋊C4×C19C2×D411yescharacteristic
611C4⋊C4×C19C2411yescharacteristic
612C4⋊C4×C19C2411yescharacteristic
613C4⋊C4×C19C2411yescharacteristic
614C4⋊C4×C19C2411yescharacteristic
615C4⋊C4×C19C2411yescharacteristic
616C4⋊C4×C19C2411yescharacteristic
617C4⋊C4×C19C2411yescharacteristic
618C4⋊C4×C19C2411yescharacteristic
619C4⋊C4×C19C2411yescharacteristic
620C4⋊C4×C19C2411yescharacteristic
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×C19—21no—
646C22⋊C4×C19—21no—
647C22⋊C4×C19—21no—
648C22⋊C4×C19—21no—
649C22⋊C4×C19—21no—
650C22⋊C4×C19—21no—
651C22⋊C4×C19—21no—
652C22⋊C4×C19—21no—
653C22⋊C4×C19—21no—
654C22⋊C4×C19C2×D411yescharacteristic
655C22⋊C4×C19C2×D411yescharacteristic
656C22⋊C4×C19C2×D411yescharacteristic
657C22⋊C4×C19C2×D411yescharacteristic
658C22⋊C4×C19C2×D411yescharacteristic
659C22⋊C4×C19C2×D411yescharacteristic
660C22⋊C4×C19C2×D411yescharacteristic
661C22⋊C4×C19C2×D411yescharacteristic
662C22⋊C4×C19C2×D411yescharacteristic
663C22⋊C4×C19C2×D411yescharacteristic
664C42×C19—21no—
665C42×C19—21no—
666C42×C19—21no—
667C42×C19—21no—
668C42×C19—21no—
669C42×C19—21no—
670C42×C19—21no—
671C42×C19—21no—
672C42×C19—21no—
673C42×C19—21no—
674C42×C19—21no—
675C42×C19—21no—
676C42×C19—21no—
677C42×C19C2411yescharacteristic
678C42×C19C2411yescharacteristic
679#61768C1911yesmaximal, characteristic, direct product factor, Sylow
680C23×C19—21no—
681C23×C19—21no—
682C23×C19—21no—
683C23×C19—41no—
684C23×C19—41no—
685C23×C19—41no—
686C23×C19C22×D411yescharacteristic
687C23×C19C22×D411yescharacteristic
688C23×C19C22×D411yescharacteristic
689C23×C19C22×D411yescharacteristic
690C23×C19C22×D411yescharacteristic
691Q8×C19—21no—
692Q8×C19—21no—
693Q8×C19—21no—
694Q8×C19—21no—
695Q8×C19—21no—
696Q8×C19—21no—
697Q8×C19—41no—
698Q8×C19—81no—
699Q8×C19—81no—
700D4×C19—21no—
701D4×C19—21no—
702D4×C19—21no—
703D4×C19—21no—
704D4×C19—21no—
705D4×C19—21no—
706D4×C19—41no—
707D4×C19—41no—
708D4×C19—41no—
709D4×C19—41no—
710D4×C19—41no—
711D4×C19—41no—
712D4×C19—41no—
713D4×C19—42no—
714D4×C19—81no—
715D4×C19—81no—
716D4×C19—81no—
717D4×C19—81no—
718D4×C19—81no—
719D4×C19—81no—
720D4×C19—81no—
721D4×C19—81no—
722D4×C19—81no—
723D4×C19—81no—
724D4×C19—81no—
725D4×C19—81no—
726D4×C19—81no—
727D4×C19—81no—
728D4×C19—81no—
729D4×C19—81no—
730C2×C4×C19—21no—
731C2×C4×C19—21no—
732C2×C4×C19—21no—
733C2×C4×C19—21no—
734C2×C4×C19—21no—
735C2×C4×C19—21no—
736C2×C4×C19—21no—
737C2×C4×C19—21no—
738C2×C4×C19—21no—
739C2×C4×C19—21no—
740C2×C4×C19—21no—
741C2×C4×C19—21no—
742C2×C4×C19—21no—
743C2×C4×C19—21no—
744C2×C4×C19—21no—
745C2×C4×C19—21no—
746C2×C4×C19—21no—
747C2×C4×C19—21no—
748C2×C4×C19—21no—
749C2×C4×C19—21no—
750C2×C4×C19—21no—
751C2×C4×C19—21no—
752C2×C4×C19—21no—
753C2×C4×C19—41no—
754C2×C4×C19—41no—
755C2×C4×C19—41no—
756C2×C4×C19—42no—
757C2×C4×C19—81no—
758C2×C4×C19—81no—
759C2×C4×C19—81no—
760C2×C4×C19—81no—
761C2×C4×C19—81no—
762C2×C4×C19—81no—
763C2×C4×C19—81no—
764C2×C4×C19—81no—
765C2×C4×C19—81no—
766C2×C4×C19—81no—
767C2×C4×C19—81no—
768C2×C4×C19—81no—
769C2×C4×C19—81no—
770C2×C4×C19—81no—
771C2×C4×C19C22×D411yescharacteristic
772C2×C4×C19C22×D411yescharacteristic
773C2×C4×C19C22×D411yescharacteristic
774C2×C4×C19C22×D411yescharacteristic
775C2×C4×C19C22×D411yescharacteristic
776C2×C4×C19C22×D411yescharacteristic
777C2×C4×C19C22×D411yescharacteristic
778C2×C4×C19C22×D411yescharacteristic
779C2×C4×C19C22×D411yescharacteristic
780C2×C4×C19C2511yescharacteristic
781C8×C19—21no—
782C8×C19—21no—
783C8×C19—21no—
784C8×C19—21no—
785C8×C19—21no—
786C8×C19—21no—
787C8×C19—21no—
788C8×C19—21no—
789#3539C2×C1911yescharacteristic, complemented
790#3493C2×C1911yescharacteristic, complemented
791#3350C2×C1911yescharacteristic, complemented
792#3349C2×C1911yescharacteristic, complemented
793#3348C2×C1911yescharacteristic, complemented
794#3347C2×C1911yescharacteristic, complemented
795#3339C2×C1911yescharacteristic, complemented
796#3337C2×C1911yescharacteristic, complemented
797#3337C2×C1911yescharacteristic, complemented
798#3336C2×C1911yescharacteristic, complemented
799#3317C2×C1911yescharacteristic, complemented
800#3315C2×C1911yescharacteristic, complemented
801#3309C2×C1911yescharacteristic, complemented
802#3307C2×C1911yescharacteristic, complemented
803#3305C2×C1911yescharacteristic, complemented
804#3304C2×C1911yescharacteristic, complemented
805#3303C2×C1911yescharacteristic, complemented
806#3302C2×C1911yescharacteristic, complemented
807#3242C2×C1911yescharacteristic, complemented
808#3241C2×C1911yescharacteristic, complemented
809#3204C2×C1911yescharacteristic, complemented
810#3203C2×C1911yescharacteristic, complemented
811#3191C2×C1911yescharacteristic, complemented
812#3191C2×C1911yescharacteristic, complemented
813#3120C2×C1911yescharacteristic, complemented
814#3119C2×C1911yescharacteristic, complemented
815#3099C2×C1911yescharacteristic, complemented
816#3098C2×C1911yescharacteristic, complemented
817#3091C2×C1911yescharacteristic, complemented
818#3091C2×C1911yescharacteristic, complemented
819#2977C2×C1911yescharacteristic, complemented
820C22×C19—21no—
821C22×C19—21no—
822C22×C19—21no—
823C22×C19—21no—
824C22×C19—21no—
825C22×C19—21no—
826C22×C19—21no—
827C22×C19—21no—
828C22×C19—21no—
829C22×C19—21no—
830C22×C19—21no—
831C22×C19—21no—
832C22×C19—21no—
833C22×C19—21no—
834C22×C19—21no—
835C22×C19—41no—
836C22×C19—41no—
837C22×C19—41no—
838C22×C19—41no—
839C22×C19—41no—
840C22×C19—41no—
841C22×C19—41no—
842C22×C19—41no—
843C22×C19—41no—
844C22×C19—82no—
845C22×C19C23×D411yescharacteristic
846C4×C19—21no—
847C4×C19—21no—
848C4×C19—21no—
849C4×C19—21no—
850C4×C19—21no—
851C4×C19—21no—
852C4×C19—21no—
853C4×C19—21no—
854C4×C19—21no—
855C4×C19—41no—
856C4×C19—41no—
857C4×C19—41no—
858C4×C19—41no—
859C4×C19—41no—
860C4×C19—41no—
861C4×C19—41no—
862C4×C19—41no—
863C4×C19—41no—
864C4×C19—41no—
865C4×C19—41no—
866C4×C19—41no—
867C4×C19—41no—
868C4×C19#58511yescharacteristic
869C4×C19#58511yescharacteristic
870#560—21no—
871#560—21no—
872#556—21no—
873#556C22×C1911yescharacteristic
874#556C22×C1911yescharacteristic
875#555—21no—
876#555C22×C1911yescharacteristic
877#555C22×C1911yescharacteristic
878#553—21no—
879#553—21no—
880#553—21no—
881#553C22×C1911yescharacteristic
882#553C22×C1911yescharacteristic
883#553C22×C1911yescharacteristic
884#553C22×C1911yescharacteristic
885#552—21no—
886#552C22×C1911yescharacteristic
887#552C22×C1911yescharacteristic
888#552C22×C1911yescharacteristic
889#552C22×C1911yescharacteristic
890#550C22×C1911yescharacteristic
891#550C22×C1911yescharacteristic
892#547C22×C1911yescharacteristic
893#547C22×C1911yescharacteristic
894#544C22×C1911yescharacteristic
895#541C22×C1911yescharacteristic
896#540—21no—
897#540—21no—
898#540C22×C1911yescharacteristic
899#539—21no—
900#539—21no—
901#538—21no—
902#538—21no—
903#537C22×C1911yescharacteristic
904#537C22×C1911yescharacteristic
905#537C22×C1911yescharacteristic
906#529—21no—
907#529—21no—
908#525C22×C1911yescharacteristic
909#525C22×C1911yescharacteristic
910#525C22×C1911yescharacteristic
911#525C22×C1911yescharacteristic
912#520C22×C1911yescharacteristic
913#520C22×C1911yescharacteristic
914C2×#117C22×C1911yescharacteristic
915#501C22×C1911yescharacteristic, complemented
916#501C22×C1911yescharacteristic, complemented
917#499C22×C1911yescharacteristic, complemented
918#499C22×C1911yescharacteristic, complemented
919#491C22×C1911yescharacteristic, complemented
920#490C22×C1911yescharacteristic, complemented
921#487C22×C1911yescharacteristic, complemented
922#486C22×C1911yescharacteristic, complemented
923#485C22×C1911yescharacteristic
924#485C22×C1911yescharacteristic
925#485C22×C1911yescharacteristic
926#485C22×C1911yescharacteristic
927#485C22×C1911yescharacteristic
928#485C22×C1911yescharacteristic
929#485C22×C1911yescharacteristic
930#485C22×C1911yescharacteristic
931#485C22×C1911yescharacteristic, complemented
932#485C22×C1911yescharacteristic, complemented
933#484C22×C1911yescharacteristic
934#484C22×C1911yescharacteristic
935#484C22×C1911yescharacteristic, complemented
936#484C22×C1911yescharacteristic, complemented
937#483C22×C1911yescharacteristic
938#483C22×C1911yescharacteristic
939#483C22×C1911yescharacteristic, complemented
940#483C22×C1911yescharacteristic, complemented
941#482C22×C1911yescharacteristic
942#482C22×C1911yescharacteristic
943#482C22×C1911yescharacteristic
944#482C22×C1911yescharacteristic
945#482C22×C1911yescharacteristic
946#482C22×C1911yescharacteristic
947#482C22×C1911yescharacteristic
948#482C22×C1911yescharacteristic
949#482C22×C1911yescharacteristic, complemented
950#482C22×C1911yescharacteristic, complemented
951#481C22×C1911yescharacteristic
952#481C22×C1911yescharacteristic
953#481C22×C1911yescharacteristic, complemented
954#481C22×C1911yescharacteristic, complemented
955#480C22×C1911yescharacteristic
956#480C22×C1911yescharacteristic
957#480C22×C1911yescharacteristic, complemented
958#480C22×C1911yescharacteristic, complemented
959#479C22×C1911yescharacteristic, complemented
960#479C22×C1911yescharacteristic, complemented
961#479C22×C1911yescharacteristic, complemented
962#479C22×C1911yescharacteristic, complemented
963#478C22×C1911yescharacteristic, complemented
964#478C22×C1911yescharacteristic, complemented
965#478C22×C1911yescharacteristic, complemented
966#478C22×C1911yescharacteristic, complemented
967#477C22×C1911yescharacteristic, complemented
968#476C22×C1911yescharacteristic, complemented
969#475C22×C1911yescharacteristic, complemented
970#474C22×C1911yescharacteristic, complemented
971#470C22×C1911yescharacteristic, complemented
972#469C22×C1911yescharacteristic, complemented
973#468C22×C1911yescharacteristic, complemented
974#468C22×C1911yescharacteristic, complemented
975#467C22×C1911yescharacteristic
976#467C22×C1911yescharacteristic
977#467C22×C1911yescharacteristic, complemented
978#466C22×C1911yescharacteristic
979#466C22×C1911yescharacteristic
980#466C22×C1911yescharacteristic, complemented
981#465C22×C1911yescharacteristic
982#465C22×C1911yescharacteristic
983#465C22×C1911yescharacteristic
984#465C22×C1911yescharacteristic
985#465C22×C1911yescharacteristic, complemented
986#465C22×C1911yescharacteristic, complemented
987#462C22×C1911yescharacteristic, complemented
988#461C22×C1911yescharacteristic, complemented
989#460C22×C1911yescharacteristic, complemented
990#459C22×C1911yescharacteristic, complemented
991#452C22×C1911yescharacteristic
992#452C22×C1911yescharacteristic
993#452C22×C1911yescharacteristic
994#452C22×C1911yescharacteristic
995#452C22×C1911yescharacteristic, complemented
996#452C22×C1911yescharacteristic, complemented
997#449C22×C1911yescharacteristic
998#449C22×C1911yescharacteristic
999#449C22×C1911yescharacteristic
1000#449C22×C1911yescharacteristic
1001#449C22×C1911yescharacteristic, complemented
1002#449C22×C1911yescharacteristic, complemented
1003#442C22×C1911yescharacteristic, complemented
1004#441C22×C1911yescharacteristic, complemented
1005#440C22×C1911yescharacteristic, complemented
1006#440C22×C1911yescharacteristic, complemented
1007C4×Q16C22×C1911yescharacteristic, complemented
1008C4×SD16C22×C1911yescharacteristic, complemented
1009C4×SD16C22×C1911yescharacteristic, complemented
1010C4×D8C22×C1911yescharacteristic, complemented
1011#435C22×C1911yescharacteristic
1012#435C22×C1911yescharacteristic
1013#435C22×C1911yescharacteristic
1014#435C22×C1911yescharacteristic
1015C8×D4C22×C1911yescharacteristic
1016C8×D4C22×C1911yescharacteristic
1017C8×D4C22×C1911yescharacteristic
1018C8×D4C22×C1911yescharacteristic
1019#433C22×C1911yescharacteristic
1020#433C22×C1911yescharacteristic
1021#428C22×C1911yescharacteristic, complemented
1022#428C22×C1911yescharacteristic, complemented
1023#427C22×C1911yescharacteristic
1024#427C22×C1911yescharacteristic
1025#427C22×C1911yescharacteristic
1026#427C22×C1911yescharacteristic
1027C2×#107C22×C1911yescharacteristic, complemented
1028C2×#106C22×C1911yescharacteristic, complemented
1029#417C22×C1911yescharacteristic, complemented
1030#417C22×C1911yescharacteristic, complemented
1031#416C22×C1911yescharacteristic
1032#416C22×C1911yescharacteristic
1033#416C22×C1911yescharacteristic
1034#416C22×C1911yescharacteristic
1035#416C22×C1911yescharacteristic, complemented
1036#416C22×C1911yescharacteristic, complemented
1037#408C22×C1911yescharacteristic
1038#408C22×C1911yescharacteristic
1039C2×C22⋊C8C22×C1911yescharacteristic
1040C2×C22⋊C8C22×C1911yescharacteristic
1041C2×C19—41no—
1042C2×C19—41no—
1043C2×C19—41no—
1044C2×C19—41no—
1045C2×C19—41no—
1046C2×C19—81no—
1047C2×C19—81no—
1048C2×C19—81no—
1049C2×C19#348511yescharacteristic
1050C2×C19#358411yescharacteristic
1051C2×C19#358411yescharacteristic
1052C2×#41C23×C1911yescharacteristic
1053C2×#41C23×C1911yescharacteristic
1054C2×#41C23×C1911yescharacteristic
1055C2×#41C23×C1911yescharacteristic
1056C2×#41C23×C1911yescharacteristic
1057C2×#41C23×C1911yescharacteristic
1058C23×C4C23×C1911yescharacteristic
1059C2×Q16C23×C1911yescharacteristic
1060C2×Q16C23×C1911yescharacteristic
1061C2×SD16C23×C1911yescharacteristic
1062C2×SD16C23×C1911yescharacteristic
1063C2×SD16C23×C1911yescharacteristic
1064C2×SD16C23×C1911yescharacteristic
1065C2×D8C23×C1911yescharacteristic
1066C2×D8C23×C1911yescharacteristic
1067C2×M16C23×C1911yescharacteristic
1068C2×M16C23×C1911yescharacteristic
1069C22×C8C23×C1911yescharacteristic
1070C22×C8C23×C1911yescharacteristic
1071C22×C8C23×C1911yescharacteristic
1072C22×C8C23×C1911yescharacteristic
1073C22×C8C23×C1911yescharacteristic
1074C22×C8C23×C1911yescharacteristic
1075C4⋊Q8—21no—
1076C4⋊Q8C23×C1911yescharacteristic
1077C4⋊Q8C23×C1911yescharacteristic
1078C4⋊Q8C23×C1911yescharacteristic
1079#127—21no—
1080#127—21no—
1081#127C23×C1911yescharacteristic
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—21no—
1102#125—21no—
1103#125C23×C1911yescharacteristic
1104#125C23×C1911yescharacteristic
1105#125C23×C1911yescharacteristic
1106#125C23×C1911yescharacteristic
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123D4×C1911yescharacteristic
1131#123D4×C1911yescharacteristic
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8D4×C1911yescharacteristic
1138C22⋊Q8D4×C1911yescharacteristic
1139C22⋊Q8C23×C1911yescharacteristic
1140C22⋊Q8C23×C1911yescharacteristic
1141C22⋊Q8C23×C1911yescharacteristic
1142C22⋊Q8C23×C1911yescharacteristic
1143C22⋊Q8C23×C1911yescharacteristic
1144C22⋊Q8C23×C1911yescharacteristic
1145C22⋊Q8C23×C1911yescharacteristic
1146C22⋊Q8C23×C1911yescharacteristic
1147C22⋊Q8C23×C1911yescharacteristic
1148C22⋊Q8C23×C1911yescharacteristic
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121D4×C1911yescharacteristic
1173#121D4×C1911yescharacteristic
1174#121C23×C1911yescharacteristic
1175#121C23×C1911yescharacteristic
1176#121C23×C1911yescharacteristic
1177#121C23×C1911yescharacteristic
1178#121C23×C1911yescharacteristic
1179#121C23×C1911yescharacteristic
1180#121C23×C1911yescharacteristic
1181#121C23×C1911yescharacteristic
1182#121C23×C1911yescharacteristic
1183#121C23×C1911yescharacteristic
1184#120—21no—
1185#120—21no—
1186#120—21no—
1187#120D4×C1911yescharacteristic
1188#120D4×C1911yescharacteristic
1189C4×Q8—21no—
1190C4×Q8—21no—
1191C4×Q8—21no—
1192C4×Q8C23×C1911yescharacteristic
1193C4×Q8C23×C1911yescharacteristic
1194C4×Q8C23×C1911yescharacteristic
1195C4×Q8C23×C1911yescharacteristic
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4C23×C1911yescharacteristic
1214C4×D4C23×C1911yescharacteristic
1215C4×D4C23×C1911yescharacteristic
1216C4×D4C23×C1911yescharacteristic
1217C4×D4C23×C1911yescharacteristic
1218C4×D4C23×C1911yescharacteristic
1219C4×D4C23×C1911yescharacteristic
1220C4×D4C23×C1911yescharacteristic
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117C23×C1911yescharacteristic
1231#117C23×C1911yescharacteristic
1232#117C23×C1911yescharacteristic
1233#117C23×C1911yescharacteristic
1234#117C23×C1911yescharacteristic
1235#117C23×C1911yescharacteristic
1236#117C23×C1911yescharacteristic
1237#117C23×C1911yescharacteristic
1238#117C23×C1911yescharacteristic
1239#117C23×C1911yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4C23×C1911yescharacteristic
1244C2×C4⋊C4C23×C1911yescharacteristic
1245C2×C4⋊C4C23×C1911yescharacteristic
1246C2×C4⋊C4C23×C1911yescharacteristic
1247C2×C4⋊C4C23×C1911yescharacteristic
1248C2×C4⋊C4C23×C1911yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251#107C23×C1911yescharacteristic
1252#107C23×C1911yescharacteristic
1253#107C23×C1911yescharacteristic
1254#107C23×C1911yescharacteristic
1255#107C23×C1911yescharacteristic
1256#107C23×C1911yescharacteristic
1257#107C23×C1911yescharacteristic
1258#107C23×C1911yescharacteristic
1259#107C23×C1911yescharacteristic
1260#107C23×C1911yescharacteristic
1261#107C23×C1911yescharacteristic
1262#107C23×C1911yescharacteristic
1263#106C23×C1911yescharacteristic
1264#106C23×C1911yescharacteristic
1265#106C23×C1911yescharacteristic
1266#106C23×C1911yescharacteristic
1267#106C23×C1911yescharacteristic
1268#106C23×C1911yescharacteristic
1269#106C23×C1911yescharacteristic
1270#106C23×C1911yescharacteristic
1271#106C23×C1911yescharacteristic
1272#106C23×C1911yescharacteristic
1273#106C23×C1911yescharacteristic
1274#106C23×C1911yescharacteristic
1275C4⋊C8C23×C1911yescharacteristic
1276C4⋊C8C23×C1911yescharacteristic
1277C4⋊C8C23×C1911yescharacteristic
1278C4⋊C8C23×C1911yescharacteristic
1279#103C23×C1911yescharacteristic
1280#103C23×C1911yescharacteristic
1281#103C23×C1911yescharacteristic
1282#103C23×C1911yescharacteristic
1283#103C23×C1911yescharacteristic
1284#103C23×C1911yescharacteristic
1285#103C23×C1911yescharacteristic
1286#103C23×C1911yescharacteristic
1287#103C23×C1911yescharacteristic
1288#103C23×C1911yescharacteristic
1289#103C23×C1911yescharacteristic
1290#103C23×C1911yescharacteristic
1291#103C23×C1911yescharacteristic
1292#103C23×C1911yescharacteristic
1293#103C23×C1911yescharacteristic
1294#103C23×C1911yescharacteristic
1295#102C23×C1911yescharacteristic
1296#102C23×C1911yescharacteristic
1297#102C23×C1911yescharacteristic
1298#102C23×C1911yescharacteristic
1299#102C23×C1911yescharacteristic
1300#102C23×C1911yescharacteristic
1301#102C23×C1911yescharacteristic
1302#102C23×C1911yescharacteristic
1303#102C23×C1911yescharacteristic
1304#102C23×C1911yescharacteristic
1305#102C23×C1911yescharacteristic
1306#102C23×C1911yescharacteristic
1307#102C23×C1911yescharacteristic
1308#102C23×C1911yescharacteristic
1309#102C23×C1911yescharacteristic
1310#102C23×C1911yescharacteristic
1311C22⋊C8C23×C1911yescharacteristic
1312C22⋊C8C23×C1911yescharacteristic
1313C22⋊C8C23×C1911yescharacteristic
1314C22⋊C8C23×C1911yescharacteristic
1315C22⋊C8C23×C1911yescharacteristic
1316C22⋊C8C23×C1911yescharacteristic
1317C22⋊C8C23×C1911yescharacteristic
1318C22⋊C8C23×C1911yescharacteristic
1319C22⋊C8C23×C1911yescharacteristic
1320C22⋊C8C23×C1911yescharacteristic
1321C22⋊C8C23×C1911yescharacteristic
1322C22⋊C8C23×C1911yescharacteristic
1323#97C23×C1911yescharacteristic
1324#97C23×C1911yescharacteristic
1325C4×C8C23×C1911yescharacteristic
1326C4×C8C23×C1911yescharacteristic
1327C19#6176811yescharacteristic, direct product factor, Sylow
1328C24C2×D4×C1911yescharacteristic
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341C2×Q8—21no—
1342C2×Q8—21no—
1343C2×Q8C2×D4×C1911yescharacteristic
1344C2×Q8C24×C1911yescharacteristic
1345C2×Q8C24×C1911yescharacteristic
1346C2×Q8C24×C1911yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4C2×D4×C1911yescharacteristic
1365C2×D4C2×D4×C1911yescharacteristic
1366C2×D4C2×D4×C1911yescharacteristic
1367C2×D4C2×D4×C1911yescharacteristic
1368C2×D4C2×D4×C1911yescharacteristic
1369C2×D4C2×D4×C1911yescharacteristic
1370C2×D4C2×D4×C1911yescharacteristic
1371C2×D4C24×C1911yescharacteristic
1372C2×D4C24×C1911yescharacteristic
1373C2×D4C24×C1911yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4C2×D4×C1911yescharacteristic
1392C22×C4C2×D4×C1911yescharacteristic
1393C22×C4C2×D4×C1911yescharacteristic
1394C22×C4C24×C1911yescharacteristic
1395C22×C4C24×C1911yescharacteristic
1396C22×C4C24×C1911yescharacteristic
1397C22×C4C24×C1911yescharacteristic
1398C22×C4C24×C1911yescharacteristic
1399Q16—41no—
1400Q16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405D8—41no—
1406D8—41no—
1407M16—41no—
1408M16—41no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C1911yescharacteristic
1416C2×C8C24×C1911yescharacteristic
1417C2×C8C24×C1911yescharacteristic
1418C2×C8C24×C1911yescharacteristic
1419C2×C8C24×C1911yescharacteristic
1420C2×C8C24×C1911yescharacteristic
1421C2×C8C24×C1911yescharacteristic
1422C2×C8C24×C1911yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4C2×D4×C1911yescharacteristic
1456C4⋊C4C2×D4×C1911yescharacteristic
1457C4⋊C4C2×D4×C1911yescharacteristic
1458C4⋊C4C2×D4×C1911yescharacteristic
1459C4⋊C4C2×D4×C1911yescharacteristic
1460C4⋊C4C2×D4×C1911yescharacteristic
1461C4⋊C4C24×C1911yescharacteristic
1462C4⋊C4C24×C1911yescharacteristic
1463C4⋊C4C24×C1911yescharacteristic
1464C4⋊C4C24×C1911yescharacteristic
1465C4⋊C4C24×C1911yescharacteristic
1466C4⋊C4C24×C1911yescharacteristic
1467C4⋊C4C24×C1911yescharacteristic
1468C4⋊C4C24×C1911yescharacteristic
1469C4⋊C4C24×C1911yescharacteristic
1470C4⋊C4C24×C1911yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4C2×D4×C1911yescharacteristic
1505C22⋊C4C2×D4×C1911yescharacteristic
1506C22⋊C4C2×D4×C1911yescharacteristic
1507C22⋊C4C2×D4×C1911yescharacteristic
1508C22⋊C4C2×D4×C1911yescharacteristic
1509C22⋊C4C2×D4×C1911yescharacteristic
1510C22⋊C4C2×D4×C1911yescharacteristic
1511C22⋊C4C2×D4×C1911yescharacteristic
1512C22⋊C4C2×D4×C1911yescharacteristic
1513C22⋊C4C2×D4×C1911yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42C24×C1911yescharacteristic
1528C42C24×C1911yescharacteristic
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23C22×D4×C1911yescharacteristic
1536C23C22×D4×C1911yescharacteristic
1537C23C22×D4×C1911yescharacteristic
1538C23C22×D4×C1911yescharacteristic
1539C23C22×D4×C1911yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—81no—
1548Q8—81no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—42no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—81no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4C22×D4×C1911yescharacteristic
1621C2×C4C22×D4×C1911yescharacteristic
1622C2×C4C22×D4×C1911yescharacteristic
1623C2×C4C22×D4×C1911yescharacteristic
1624C2×C4C22×D4×C1911yescharacteristic
1625C2×C4C22×D4×C1911yescharacteristic
1626C2×C4C22×D4×C1911yescharacteristic
1627C2×C4C22×D4×C1911yescharacteristic
1628C2×C4C22×D4×C1911yescharacteristic
1629C2×C4C25×C1911yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—21no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—82no—
1663C22C23×D4×C1911yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4C19×#58511yescharacteristic
1687C4C19×#58511yescharacteristic
1688C2—41no—
1689C2—41no—
1690C2—41no—
1691C2—41no—
1692C2—41no—
1693C2—81no—
1694C2—81no—
1695C2—81no—
1696C2C19×#348511yescharacteristic
1697C2C19×#358411yescharacteristic
1698C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3539C2semidirect
2. C19×#3493C2semidirect
3. C19×#3350C2semidirect
4. C19×#3349C2semidirect
5. C19×#3348C2semidirect
6. C19×#3347C2semidirect
7. C19×#3339C2semidirect
8. C19×#3337C2semidirect
9. C19×#3337C2semidirect
10. C19×#3336C2semidirect
11. C19×#3317C2semidirect
12. C19×#3315C2semidirect
13. C19×#3309C2semidirect
14. C19×#3307C2semidirect
15. C19×#3305C2semidirect
16. C19×#3304C2semidirect
17. C19×#3303C2semidirect
18. C19×#3302C2semidirect
19. C19×#3242C2semidirect
20. C19×#3241C2semidirect
21. C19×#3204C2semidirect
22. C19×#3203C2semidirect
23. C19×#3191C2semidirect
24. C19×#3191C2semidirect
25. C19×#3120C2semidirect
26. C19×#3119C2semidirect
27. C19×#3099C2semidirect
28. C19×#3098C2semidirect
29. C19×#3091C2semidirect
30. C19×#3091C2semidirect
31. C19×#2977C2semidirect
77. C19×#501C22semidirect
78. C19×#501C22semidirect
79. C19×#499C22semidirect
80. C19×#499C22semidirect
81. C19×#491C22semidirect
82. C19×#490C22semidirect
83. C19×#487C22semidirect
84. C19×#486C22semidirect
93. C19×#485C22semidirect
94. C19×#485C22semidirect
97. C19×#484C22semidirect
98. C19×#484C22semidirect
101. C19×#483C22semidirect
102. C19×#483C22semidirect
111. C19×#482C22semidirect
112. C19×#482C22semidirect
115. C19×#481C22semidirect
116. C19×#481C22semidirect
119. C19×#480C22semidirect
120. C19×#480C22semidirect
121. C19×#479C22semidirect
122. C19×#479C22semidirect
123. C19×#479C22semidirect
124. C19×#479C22semidirect
125. C19×#478C22semidirect
126. C19×#478C22semidirect
127. C19×#478C22semidirect
128. C19×#478C22semidirect
129. C19×#477C22semidirect
130. C19×#476C22semidirect
131. C19×#475C22semidirect
132. C19×#474C22semidirect
133. C19×#470C22semidirect
134. C19×#469C22semidirect
135. C19×#468C22semidirect
136. C19×#468C22semidirect
139. C19×#467C22semidirect
142. C19×#466C22semidirect
147. C19×#465C22semidirect
148. C19×#465C22semidirect
149. C19×#462C22semidirect
150. C19×#461C22semidirect
151. C19×#460C22semidirect
152. C19×#459C22semidirect
157. C19×#452C22semidirect
158. C19×#452C22semidirect
163. C19×#449C22semidirect
164. C19×#449C22semidirect
165. C19×#442C22semidirect
166. C19×#441C22semidirect
167. C19×#440C22semidirect
168. C19×#440C22semidirect
169. C4×Q16×C19C22semidirect
170. C4×SD16×C19C22semidirect
171. C4×SD16×C19C22semidirect
172. C4×D8×C19C22semidirect
183. C19×#428C22semidirect
184. C19×#428C22semidirect
189. C2×C19×#107C22semidirect
190. C2×C19×#106C22semidirect
191. C19×#417C22semidirect
192. C19×#417C22semidirect
197. C19×#416C22semidirect
198. C19×#416C22semidirect
679. #61768C19direct (N × H)
789. #3539C2×C19semidirect
790. #3493C2×C19semidirect
791. #3350C2×C19semidirect
792. #3349C2×C19semidirect
793. #3348C2×C19semidirect
794. #3347C2×C19semidirect
795. #3339C2×C19semidirect
796. #3337C2×C19semidirect
797. #3337C2×C19semidirect
798. #3336C2×C19semidirect
799. #3317C2×C19semidirect
800. #3315C2×C19semidirect
801. #3309C2×C19semidirect
802. #3307C2×C19semidirect
803. #3305C2×C19semidirect
804. #3304C2×C19semidirect
805. #3303C2×C19semidirect
806. #3302C2×C19semidirect
807. #3242C2×C19semidirect
808. #3241C2×C19semidirect
809. #3204C2×C19semidirect
810. #3203C2×C19semidirect
811. #3191C2×C19semidirect
812. #3191C2×C19semidirect
813. #3120C2×C19semidirect
814. #3119C2×C19semidirect
815. #3099C2×C19semidirect
816. #3098C2×C19semidirect
817. #3091C2×C19semidirect
818. #3091C2×C19semidirect
819. #2977C2×C19semidirect
915. #501C22×C19semidirect
916. #501C22×C19semidirect
917. #499C22×C19semidirect
918. #499C22×C19semidirect
919. #491C22×C19semidirect
920. #490C22×C19semidirect
921. #487C22×C19semidirect
922. #486C22×C19semidirect
931. #485C22×C19semidirect
932. #485C22×C19semidirect
935. #484C22×C19semidirect
936. #484C22×C19semidirect
939. #483C22×C19semidirect
940. #483C22×C19semidirect
949. #482C22×C19semidirect
950. #482C22×C19semidirect
953. #481C22×C19semidirect
954. #481C22×C19semidirect
957. #480C22×C19semidirect
958. #480C22×C19semidirect
959. #479C22×C19semidirect
960. #479C22×C19semidirect
961. #479C22×C19semidirect
962. #479C22×C19semidirect
963. #478C22×C19semidirect
964. #478C22×C19semidirect
965. #478C22×C19semidirect
966. #478C22×C19semidirect
967. #477C22×C19semidirect
968. #476C22×C19semidirect
969. #475C22×C19semidirect
970. #474C22×C19semidirect
971. #470C22×C19semidirect
972. #469C22×C19semidirect
973. #468C22×C19semidirect
974. #468C22×C19semidirect
977. #467C22×C19semidirect
980. #466C22×C19semidirect
985. #465C22×C19semidirect
986. #465C22×C19semidirect
987. #462C22×C19semidirect
988. #461C22×C19semidirect
989. #460C22×C19semidirect
990. #459C22×C19semidirect
995. #452C22×C19semidirect
996. #452C22×C19semidirect
1001. #449C22×C19semidirect
1002. #449C22×C19semidirect
1003. #442C22×C19semidirect
1004. #441C22×C19semidirect
1005. #440C22×C19semidirect
1006. #440C22×C19semidirect
1007. C4×Q16C22×C19semidirect
1008. C4×SD16C22×C19semidirect
1009. C4×SD16C22×C19semidirect
1010. C4×D8C22×C19semidirect
1021. #428C22×C19semidirect
1022. #428C22×C19semidirect
1027. C2×#107C22×C19semidirect
1028. C2×#106C22×C19semidirect
1029. #417C22×C19semidirect
1030. #417C22×C19semidirect
1035. #416C22×C19semidirect
1036. #416C22×C19semidirect
1327. C19#61768direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35392
C19×#34932
C19×#33502
C19×#33492
C19×#33482
C19×#33472
C19×#33392
C19×#33372
C19×#33362
C19×#33172
C19×#33152
C19×#33092
C19×#33072
C19×#33052
C19×#33042
C19×#33032
C19×#33022
C19×#32422
C19×#32412
C19×#32042
C19×#32032
C19×#31912
C19×#31202
C19×#31192
C19×#30992
C19×#30982
C19×#30912
C19×#29772
#6176819