Finite Group Databasebeta

← C19×#61771 #18067730

Subgroups — C19×#61771 #18067730

Order 4864.

1688 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3541C211yesmaximal, characteristic
2C19×#3495C211yesmaximal, characteristic, complemented
3C19×#3349C211yesmaximal, characteristic, complemented
4C19×#3349C211yesmaximal, characteristic, complemented
5C19×#3346C211yesmaximal, characteristic, complemented
6C19×#3344C211yesmaximal, characteristic, complemented
7C19×#3342C211yesmaximal, characteristic, complemented
8C19×#3338C211yesmaximal, characteristic, complemented
9C19×#3337C211yesmaximal, characteristic, complemented
10C19×#3336C211yesmaximal, characteristic, complemented
11C19×#3316C211yesmaximal, characteristic, complemented
12C19×#3315C211yesmaximal, characteristic, complemented
13C19×#3313C211yesmaximal, characteristic, complemented
14C19×#3312C211yesmaximal, characteristic, complemented
15C19×#3302C211yesmaximal, characteristic, complemented
16C19×#3300C211yesmaximal, characteristic, complemented
17C19×#3300C211yesmaximal, characteristic, complemented
18C19×#3299C211yesmaximal, characteristic, complemented
19C19×#3243C211yesmaximal, characteristic, complemented
20C19×#3242C211yesmaximal, characteristic, complemented
21C19×#3202C211yesmaximal, characteristic, complemented
22C19×#3201C211yesmaximal, characteristic, complemented
23C19×#3190C211yesmaximal, characteristic, complemented
24C19×#3189C211yesmaximal, characteristic, complemented
25C19×#3127C211yesmaximal, characteristic, complemented
26C19×#3121C211yesmaximal, characteristic, complemented
27C19×#3098C211yesmaximal, characteristic, complemented
28C19×#3097C211yesmaximal, characteristic, complemented
29C19×#3091C211yesmaximal, characteristic, complemented
30C2×C19×#485C211yesmaximal, characteristic, complemented
31C19×#2977C211yesmaximal, characteristic, complemented
32C19×#563—21no—
33C19×#562—21no—
34C19×#556C2211yescharacteristic
35C19×#556C2211yescharacteristic
36C19×#556C2211yescharacteristic
37C19×#554—21no—
38C19×#554C2211yescharacteristic
39C19×#554C2211yescharacteristic
40C19×#554C2211yescharacteristic
41C19×#553—21no—
42C19×#553C2211yescharacteristic
43C19×#552—21no—
44C19×#552—21no—
45C19×#552C2211yescharacteristic
46C19×#552C2211yescharacteristic
47C19×#552C2211yescharacteristic
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic
50C19×#551—21no—
51C19×#551—21no—
52D4×Q8×C19C2211yescharacteristic
53C19×#548C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#547C2211yescharacteristic
56C19×#544C2211yescharacteristic
57C19×#542—21no—
58C19×#542—21no—
59C19×#542C2211yescharacteristic
60C19×#541—21no—
61C19×#541C2211yescharacteristic
62C19×#539—21no—
63C19×#538—21no—
64C19×#538—21no—
65C19×#537C2211yescharacteristic
66C19×#536C2211yescharacteristic
67C19×#536C2211yescharacteristic
68C19×#533—21no—
69C19×#529—21no—
70C19×#525C2211yescharacteristic
71C19×#525C2211yescharacteristic
72C2×C19×C22⋊Q8C2211yescharacteristic
73C2×C19×C22⋊Q8C2211yescharacteristic
74C19×#520C2211yescharacteristic
75C19×#519C2211yescharacteristic
76C2×C19×#117C2211yescharacteristic
77C19×#501C2211yescharacteristic, complemented
78C19×#501C2211yescharacteristic, complemented
79C19×#500C2211yescharacteristic, complemented
80C19×#499C2211yescharacteristic, complemented
81C19×#491C2211yescharacteristic, complemented
82C19×#489C2211yescharacteristic, complemented
83C19×#488C2211yescharacteristic, complemented
84C19×#487C2211yescharacteristic, complemented
85C19×#485C2211yescharacteristic
86C19×#485C2211yescharacteristic
87C19×#485C2211yescharacteristic
88C19×#485C2211yescharacteristic
89C19×#485C2211yescharacteristic
90C19×#485C2211yescharacteristic
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic
94C19×#485C2211yescharacteristic
95C19×#485C2211yescharacteristic
96C19×#485C2211yescharacteristic
97C19×#485C2211yescharacteristic, complemented
98C19×#485C2211yescharacteristic, complemented
99C19×#485C2211yescharacteristic, complemented
100C19×#485C2211yescharacteristic, complemented
101C19×#485C2211yescharacteristic, complemented
102C19×#484C2211yescharacteristic
103C19×#484C2211yescharacteristic
104C19×#484C2211yescharacteristic
105C19×#484C2211yescharacteristic
106C19×#484C2211yescharacteristic
107C19×#484C2211yescharacteristic, complemented
108C19×#484C2211yescharacteristic, complemented
109C19×#484C2211yescharacteristic, complemented
110C19×#483C2211yescharacteristic
111C19×#483C2211yescharacteristic
112C19×#483C2211yescharacteristic, complemented
113C19×#483C2211yescharacteristic, complemented
114C19×#482C2211yescharacteristic
115C19×#482C2211yescharacteristic
116C19×#482C2211yescharacteristic, complemented
117C19×#481C2211yescharacteristic
118C19×#480C2211yescharacteristic
119C19×#480C2211yescharacteristic
120C19×#480C2211yescharacteristic, complemented
121C19×#479C2211yescharacteristic, complemented
122C19×#479C2211yescharacteristic, complemented
123C19×#479C2211yescharacteristic, complemented
124C19×#479C2211yescharacteristic, complemented
125C19×#479C2211yescharacteristic, complemented
126C19×#478C2211yescharacteristic, complemented
127C19×#477C2211yescharacteristic, complemented
128C19×#477C2211yescharacteristic, complemented
129C19×#477C2211yescharacteristic, complemented
130C19×#475C2211yescharacteristic, complemented
131C19×#475C2211yescharacteristic, complemented
132C19×#474C2211yescharacteristic, complemented
133C19×#470C2211yescharacteristic, complemented
134C19×#470C2211yescharacteristic, complemented
135C19×#470C2211yescharacteristic, complemented
136C19×#468C2211yescharacteristic, complemented
137C19×#467C2211yescharacteristic
138C19×#467C2211yescharacteristic
139C19×#467C2211yescharacteristic
140C19×#467C2211yescharacteristic
141C19×#467C2211yescharacteristic
142C19×#467C2211yescharacteristic
143C19×#467C2211yescharacteristic, complemented
144C19×#467C2211yescharacteristic, complemented
145C19×#467C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic
147C19×#465C2211yescharacteristic
148C19×#465C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic, complemented
150C19×#464C2211yescharacteristic, complemented
151C19×#462C2211yescharacteristic, complemented
152C19×#462C2211yescharacteristic, complemented
153C19×#452C2211yescharacteristic
154C19×#452C2211yescharacteristic
155C19×#452C2211yescharacteristic, complemented
156C19×#452C2211yescharacteristic, complemented
157C19×#451C2211yescharacteristic
158C19×#451C2211yescharacteristic
159C19×#451C2211yescharacteristic
160C19×#451C2211yescharacteristic
161C19×#451C2211yescharacteristic
162C19×#451C2211yescharacteristic, complemented
163C19×#451C2211yescharacteristic, complemented
164C19×#448C2211yescharacteristic
165C19×#441C2211yescharacteristic, complemented
166C19×#441C2211yescharacteristic, complemented
167C19×#441C2211yescharacteristic, complemented
168C19×#440C2211yescharacteristic, complemented
169C4×Q16×C19C2211yescharacteristic, complemented
170C4×Q16×C19C2211yescharacteristic, complemented
171C4×Q16×C19C2211yescharacteristic, complemented
172C4×SD16×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, complemented
188C2×C19×#107C2211yescharacteristic
189C2×C19×#107C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic
191C19×#419C2211yescharacteristic, complemented
192C19×#417C2211yescharacteristic, complemented
193C19×#416C2211yescharacteristic
194C19×#416C2211yescharacteristic
195C19×#416C2211yescharacteristic, complemented
196C2×C19×#103C2211yescharacteristic
197C2×C19×#103C2211yescharacteristic
198C2×C19×#103C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic
200C19×#408C2211yescharacteristic
201C2×C19×C22⋊C8C2211yescharacteristic
202C2×C19×C22⋊C8C2211yescharacteristic
203C2×#41×C19C2311yescharacteristic
204C2×#41×C19C2311yescharacteristic
205C2×#41×C19C2311yescharacteristic
206C22×Q8×C19C2311yescharacteristic
207C22×Q8×C19C2311yescharacteristic
208C22×Q8×C19C2311yescharacteristic
209C23×C4×C19C2311yescharacteristic
210C2×Q16×C19C2311yescharacteristic
211C2×Q16×C19C2311yescharacteristic
212C2×Q16×C19C2311yescharacteristic
213C2×Q16×C19C2311yescharacteristic
214C2×Q16×C19C2311yescharacteristic
215C2×Q16×C19C2311yescharacteristic
216C2×SD16×C19C2311yescharacteristic
217C2×SD16×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⋊Q8—21no—
228C19×C4⋊Q8—21no—
229C19×C4⋊Q8—21no—
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×#125—21no—
250C19×#125—21no—
251C19×#125—21no—
252C19×#125—21no—
253C19×#125—21no—
254C19×#125—21no—
255C19×#125—21no—
256C19×#125—21no—
257C19×#125—21no—
258C19×#125—21no—
259C19×#125—21no—
260C19×#125C2311yescharacteristic
261C19×#125C2311yescharacteristic
262C19×#125C2311yescharacteristic
263C19×#124—21no—
264C19×#124—21no—
265C19×#124—21no—
266C19×#124—21no—
267C19×#124—21no—
268C19×#124—21no—
269C19×#124—21no—
270C19×#124—21no—
271C19×#124C2311yescharacteristic
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×#123—21no—
282C19×#123—21no—
283C19×#123—21no—
284C19×#123—21no—
285C19×#123—21no—
286C19×#123D411yescharacteristic
287C19×#123D411yescharacteristic
288C19×C22⋊Q8—21no—
289C19×C22⋊Q8—21no—
290C19×C22⋊Q8—21no—
291C19×C22⋊Q8—21no—
292C19×C22⋊Q8—21no—
293C19×C22⋊Q8—21no—
294C19×C22⋊Q8—21no—
295C19×C22⋊Q8—21no—
296C19×C22⋊Q8—21no—
297C19×C22⋊Q8—21no—
298C19×C22⋊Q8—21no—
299C19×C22⋊Q8—21no—
300C19×C22⋊Q8—21no—
301C19×C22⋊Q8—21no—
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8—21no—
306C19×C22⋊Q8D411yescharacteristic
307C19×C22⋊Q8D411yescharacteristic
308C19×C22⋊Q8C2311yescharacteristic
309C19×C22⋊Q8C2311yescharacteristic
310C19×C22⋊Q8C2311yescharacteristic
311C19×C22⋊Q8C2311yescharacteristic
312C19×C22⋊Q8C2311yescharacteristic
313C19×C22⋊Q8C2311yescharacteristic
314C19×C22⋊Q8C2311yescharacteristic
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×#121—21no—
330C19×#121—21no—
331C19×#121—21no—
332C19×#121D411yescharacteristic
333C19×#121D411yescharacteristic
334C19×#121C2311yescharacteristic
335C19×#121C2311yescharacteristic
336C19×#121C2311yescharacteristic
337C19×#120—21no—
338C19×#120D411yescharacteristic
339C19×#120D411yescharacteristic
340C4×Q8×C19—21no—
341C4×Q8×C19—21no—
342C4×Q8×C19—21no—
343C4×Q8×C19—21no—
344C4×Q8×C19—21no—
345C4×Q8×C19—21no—
346C4×Q8×C19C2311yescharacteristic
347C4×Q8×C19C2311yescharacteristic
348C4×Q8×C19C2311yescharacteristic
349C4×Q8×C19C2311yescharacteristic
350C4×Q8×C19C2311yescharacteristic
351C4×Q8×C19C2311yescharacteristic
352C4×Q8×C19C2311yescharacteristic
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×C19—21no—
365C4×D4×C19C2311yescharacteristic
366C4×D4×C19C2311yescharacteristic
367C4×D4×C19C2311yescharacteristic
368C4×D4×C19C2311yescharacteristic
369C4×D4×C19C2311yescharacteristic
370C19×#117—21no—
371C19×#117—21no—
372C19×#117—21no—
373C19×#117—21no—
374C19×#117—21no—
375C19×#117—21no—
376C19×#117—21no—
377C19×#117—21no—
378C19×#117—21no—
379C19×#117C2311yescharacteristic
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×C4⋊C4×C19C2311yescharacteristic
395C2×C4⋊C4×C19C2311yescharacteristic
396C2×C4⋊C4×C19C2311yescharacteristic
397C2×C4⋊C4×C19C2311yescharacteristic
398C2×C22⋊C4×C19—21no—
399C2×C22⋊C4×C19—21no—
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×#107C2311yescharacteristic
415C19×#107C2311yescharacteristic
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×#103C2311yescharacteristic
447C19×#103C2311yescharacteristic
448C19×#103C2311yescharacteristic
449C19×#103C2311yescharacteristic
450C19×#103C2311yescharacteristic
451C19×#103C2311yescharacteristic
452C19×#103C2311yescharacteristic
453C19×#103C2311yescharacteristic
454C19×#103C2311yescharacteristic
455C19×#103C2311yescharacteristic
456C19×#102C2311yescharacteristic
457C19×#102C2311yescharacteristic
458C19×#102C2311yescharacteristic
459C19×#102C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×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—
485C2×Q8×C19—21no—
486C2×Q8×C19—21no—
487C2×Q8×C19—21no—
488C2×Q8×C19—21no—
489C2×Q8×C19—21no—
490C2×Q8×C19—21no—
491C2×Q8×C19—41no—
492C2×Q8×C19—41no—
493C2×Q8×C19—41no—
494C2×Q8×C19—41no—
495C2×Q8×C19—41no—
496C2×Q8×C19—41no—
497C2×Q8×C19C2×D411yescharacteristic
498C2×Q8×C19C2411yescharacteristic
499C2×Q8×C19C2411yescharacteristic
500C2×Q8×C19C2411yescharacteristic
501C2×Q8×C19C2411yescharacteristic
502C2×Q8×C19C2411yescharacteristic
503C2×D4×C19—21no—
504C2×D4×C19—21no—
505C2×D4×C19—21no—
506C2×D4×C19—21no—
507C2×D4×C19—21no—
508C2×D4×C19C2×D411yescharacteristic
509C2×D4×C19C2×D411yescharacteristic
510C2×D4×C19C2×D411yescharacteristic
511C2×D4×C19C2×D411yescharacteristic
512C2×D4×C19C2×D411yescharacteristic
513C2×D4×C19C2×D411yescharacteristic
514C2×D4×C19C2×D411yescharacteristic
515C2×D4×C19C2411yescharacteristic
516C22×C4×C19—21no—
517C22×C4×C19—21no—
518C22×C4×C19—21no—
519C22×C4×C19—21no—
520C22×C4×C19—21no—
521C22×C4×C19—21no—
522C22×C4×C19—21no—
523C22×C4×C19—21no—
524C22×C4×C19—21no—
525C22×C4×C19—21no—
526C22×C4×C19—21no—
527C22×C4×C19—21no—
528C22×C4×C19—21no—
529C22×C4×C19—41no—
530C22×C4×C19—41no—
531C22×C4×C19C2×D411yescharacteristic
532C22×C4×C19C2×D411yescharacteristic
533C22×C4×C19C2×D411yescharacteristic
534C22×C4×C19C2411yescharacteristic
535C22×C4×C19C2411yescharacteristic
536C22×C4×C19C2411yescharacteristic
537C22×C4×C19C2411yescharacteristic
538C22×C4×C19C2411yescharacteristic
539Q16×C19—41no—
540Q16×C19—41no—
541Q16×C19—41no—
542Q16×C19—41no—
543Q16×C19—41no—
544Q16×C19—41no—
545SD16×C19—41no—
546SD16×C19—41no—
547M16×C19—41no—
548M16×C19—41no—
549C2×C8×C19—41no—
550C2×C8×C19—41no—
551C2×C8×C19—41no—
552C2×C8×C19—41no—
553C2×C8×C19—41no—
554C2×C8×C19—41no—
555C2×C8×C19C2411yescharacteristic
556C2×C8×C19C2411yescharacteristic
557C2×C8×C19C2411yescharacteristic
558C2×C8×C19C2411yescharacteristic
559C2×C8×C19C2411yescharacteristic
560C2×C8×C19C2411yescharacteristic
561C2×C8×C19C2411yescharacteristic
562C2×C8×C19C2411yescharacteristic
563C4⋊C4×C19—21no—
564C4⋊C4×C19—21no—
565C4⋊C4×C19—21no—
566C4⋊C4×C19—21no—
567C4⋊C4×C19—21no—
568C4⋊C4×C19—21no—
569C4⋊C4×C19—21no—
570C4⋊C4×C19—21no—
571C4⋊C4×C19—21no—
572C4⋊C4×C19—21no—
573C4⋊C4×C19—21no—
574C4⋊C4×C19—21no—
575C4⋊C4×C19—21no—
576C4⋊C4×C19—21no—
577C4⋊C4×C19—21no—
578C4⋊C4×C19—21no—
579C4⋊C4×C19—21no—
580C4⋊C4×C19—21no—
581C4⋊C4×C19—21no—
582C4⋊C4×C19—21no—
583C4⋊C4×C19—21no—
584C4⋊C4×C19—21no—
585C4⋊C4×C19—21no—
586C4⋊C4×C19—21no—
587C4⋊C4×C19—21no—
588C4⋊C4×C19—21no—
589C4⋊C4×C19—21no—
590C4⋊C4×C19—21no—
591C4⋊C4×C19—21no—
592C4⋊C4×C19—21no—
593C4⋊C4×C19—21no—
594C4⋊C4×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×C19C2×D411yescharacteristic
653C22⋊C4×C19C2×D411yescharacteristic
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
662C42×C19—21no—
663C42×C19—21no—
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#61771C1911yesmaximal, characteristic, direct product factor, Sylow
680C23×C19—22no—
681C23×C19—21no—
682C23×C19—41no—
683C23×C19—41no—
684C23×C19C22×D411yescharacteristic
685C23×C19C22×D411yescharacteristic
686C23×C19C22×D411yescharacteristic
687C23×C19C22×D411yescharacteristic
688C23×C19C22×D411yescharacteristic
689Q8×C19—21no—
690Q8×C19—21no—
691Q8×C19—21no—
692Q8×C19—21no—
693Q8×C19—21no—
694Q8×C19—21no—
695Q8×C19—21no—
696Q8×C19—21no—
697Q8×C19—21no—
698Q8×C19—21no—
699Q8×C19—41no—
700Q8×C19—42no—
701Q8×C19—81no—
702Q8×C19—81no—
703Q8×C19—81no—
704Q8×C19—81no—
705Q8×C19—81no—
706D4×C19—22no—
707D4×C19—22no—
708D4×C19—21no—
709D4×C19—21no—
710D4×C19—41no—
711D4×C19—41no—
712D4×C19—41no—
713D4×C19—41no—
714D4×C19—41no—
715D4×C19—42no—
716D4×C19—81no—
717D4×C19—81no—
718D4×C19—81no—
719D4×C19—81no—
720C2×C4×C19—21no—
721C2×C4×C19—21no—
722C2×C4×C19—21no—
723C2×C4×C19—21no—
724C2×C4×C19—21no—
725C2×C4×C19—21no—
726C2×C4×C19—21no—
727C2×C4×C19—21no—
728C2×C4×C19—21no—
729C2×C4×C19—21no—
730C2×C4×C19—21no—
731C2×C4×C19—21no—
732C2×C4×C19—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—41no—
746C2×C4×C19—41no—
747C2×C4×C19—41no—
748C2×C4×C19—42no—
749C2×C4×C19—42no—
750C2×C4×C19—81no—
751C2×C4×C19—81no—
752C2×C4×C19—81no—
753C2×C4×C19—81no—
754C2×C4×C19—81no—
755C2×C4×C19—81no—
756C2×C4×C19—81no—
757C2×C4×C19—81no—
758C2×C4×C19—81no—
759C2×C4×C19—81no—
760C2×C4×C19—81no—
761C2×C4×C19C22×D411yescharacteristic
762C2×C4×C19C22×D411yescharacteristic
763C2×C4×C19C22×D411yescharacteristic
764C2×C4×C19C22×D411yescharacteristic
765C2×C4×C19C22×D411yescharacteristic
766C2×C4×C19C22×D411yescharacteristic
767C2×C4×C19C22×D411yescharacteristic
768C2×C4×C19C22×D411yescharacteristic
769C2×C4×C19C22×D411yescharacteristic
770C2×C4×C19C2511yescharacteristic
771C8×C19—21no—
772C8×C19—21no—
773C8×C19—21no—
774C8×C19—21no—
775C8×C19—21no—
776C8×C19—21no—
777C8×C19—21no—
778C8×C19—21no—
779#3541C2×C1911yescharacteristic
780#3495C2×C1911yescharacteristic, complemented
781#3349C2×C1911yescharacteristic, complemented
782#3349C2×C1911yescharacteristic, complemented
783#3346C2×C1911yescharacteristic, complemented
784#3344C2×C1911yescharacteristic, complemented
785#3342C2×C1911yescharacteristic, complemented
786#3338C2×C1911yescharacteristic, complemented
787#3337C2×C1911yescharacteristic, complemented
788#3336C2×C1911yescharacteristic, complemented
789#3316C2×C1911yescharacteristic, complemented
790#3315C2×C1911yescharacteristic, complemented
791#3313C2×C1911yescharacteristic, complemented
792#3312C2×C1911yescharacteristic, complemented
793#3302C2×C1911yescharacteristic, complemented
794#3300C2×C1911yescharacteristic, complemented
795#3300C2×C1911yescharacteristic, complemented
796#3299C2×C1911yescharacteristic, complemented
797#3243C2×C1911yescharacteristic, complemented
798#3242C2×C1911yescharacteristic, complemented
799#3202C2×C1911yescharacteristic, complemented
800#3201C2×C1911yescharacteristic, complemented
801#3190C2×C1911yescharacteristic, complemented
802#3189C2×C1911yescharacteristic, complemented
803#3127C2×C1911yescharacteristic, complemented
804#3121C2×C1911yescharacteristic, complemented
805#3098C2×C1911yescharacteristic, complemented
806#3097C2×C1911yescharacteristic, complemented
807#3091C2×C1911yescharacteristic, complemented
808C2×#485C2×C1911yescharacteristic, complemented
809#2977C2×C1911yescharacteristic, complemented
810C22×C19—21no—
811C22×C19—21no—
812C22×C19—21no—
813C22×C19—21no—
814C22×C19—21no—
815C22×C19—21no—
816C22×C19—21no—
817C22×C19—21no—
818C22×C19—21no—
819C22×C19—21no—
820C22×C19—21no—
821C22×C19—21no—
822C22×C19—21no—
823C22×C19—21no—
824C22×C19—41no—
825C22×C19—41no—
826C22×C19—41no—
827C22×C19—82no—
828C22×C19#57812yes—
829C22×C19C23×D411yescharacteristic
830C4×C19—21no—
831C4×C19—21no—
832C4×C19—21no—
833C4×C19—21no—
834C4×C19—21no—
835C4×C19—21no—
836C4×C19—21no—
837C4×C19—21no—
838C4×C19—21no—
839C4×C19—41no—
840C4×C19—41no—
841C4×C19—41no—
842C4×C19—41no—
843C4×C19—41no—
844C4×C19—41no—
845C4×C19—41no—
846C4×C19—41no—
847C4×C19—41no—
848C4×C19—41no—
849C4×C19—41no—
850C4×C19—41no—
851C4×C19—41no—
852C4×C19—41no—
853C4×C19—41no—
854C4×C19#58511yescharacteristic
855C4×C19#58511yescharacteristic
856#563—21no—
857#562—21no—
858#556C22×C1911yescharacteristic
859#556C22×C1911yescharacteristic
860#556C22×C1911yescharacteristic
861#554—21no—
862#554C22×C1911yescharacteristic
863#554C22×C1911yescharacteristic
864#554C22×C1911yescharacteristic
865#553—21no—
866#553C22×C1911yescharacteristic
867#552—21no—
868#552—21no—
869#552C22×C1911yescharacteristic
870#552C22×C1911yescharacteristic
871#552C22×C1911yescharacteristic
872#552C22×C1911yescharacteristic
873#552C22×C1911yescharacteristic
874#551—21no—
875#551—21no—
876D4×Q8C22×C1911yescharacteristic
877#548C22×C1911yescharacteristic
878#548C22×C1911yescharacteristic
879#547C22×C1911yescharacteristic
880#544C22×C1911yescharacteristic
881#542—21no—
882#542—21no—
883#542C22×C1911yescharacteristic
884#541—21no—
885#541C22×C1911yescharacteristic
886#539—21no—
887#538—21no—
888#538—21no—
889#537C22×C1911yescharacteristic
890#536C22×C1911yescharacteristic
891#536C22×C1911yescharacteristic
892#533—21no—
893#529—21no—
894#525C22×C1911yescharacteristic
895#525C22×C1911yescharacteristic
896C2×C22⋊Q8C22×C1911yescharacteristic
897C2×C22⋊Q8C22×C1911yescharacteristic
898#520C22×C1911yescharacteristic
899#519C22×C1911yescharacteristic
900C2×#117C22×C1911yescharacteristic
901#501C22×C1911yescharacteristic, complemented
902#501C22×C1911yescharacteristic, complemented
903#500C22×C1911yescharacteristic, complemented
904#499C22×C1911yescharacteristic, complemented
905#491C22×C1911yescharacteristic, complemented
906#489C22×C1911yescharacteristic, complemented
907#488C22×C1911yescharacteristic, complemented
908#487C22×C1911yescharacteristic, complemented
909#485C22×C1911yescharacteristic
910#485C22×C1911yescharacteristic
911#485C22×C1911yescharacteristic
912#485C22×C1911yescharacteristic
913#485C22×C1911yescharacteristic
914#485C22×C1911yescharacteristic
915#485C22×C1911yescharacteristic
916#485C22×C1911yescharacteristic
917#485C22×C1911yescharacteristic
918#485C22×C1911yescharacteristic
919#485C22×C1911yescharacteristic
920#485C22×C1911yescharacteristic
921#485C22×C1911yescharacteristic, complemented
922#485C22×C1911yescharacteristic, complemented
923#485C22×C1911yescharacteristic, complemented
924#485C22×C1911yescharacteristic, complemented
925#485C22×C1911yescharacteristic, complemented
926#484C22×C1911yescharacteristic
927#484C22×C1911yescharacteristic
928#484C22×C1911yescharacteristic
929#484C22×C1911yescharacteristic
930#484C22×C1911yescharacteristic
931#484C22×C1911yescharacteristic, complemented
932#484C22×C1911yescharacteristic, complemented
933#484C22×C1911yescharacteristic, complemented
934#483C22×C1911yescharacteristic
935#483C22×C1911yescharacteristic
936#483C22×C1911yescharacteristic, complemented
937#483C22×C1911yescharacteristic, complemented
938#482C22×C1911yescharacteristic
939#482C22×C1911yescharacteristic
940#482C22×C1911yescharacteristic, complemented
941#481C22×C1911yescharacteristic
942#480C22×C1911yescharacteristic
943#480C22×C1911yescharacteristic
944#480C22×C1911yescharacteristic, complemented
945#479C22×C1911yescharacteristic, complemented
946#479C22×C1911yescharacteristic, complemented
947#479C22×C1911yescharacteristic, complemented
948#479C22×C1911yescharacteristic, complemented
949#479C22×C1911yescharacteristic, complemented
950#478C22×C1911yescharacteristic, complemented
951#477C22×C1911yescharacteristic, complemented
952#477C22×C1911yescharacteristic, complemented
953#477C22×C1911yescharacteristic, complemented
954#475C22×C1911yescharacteristic, complemented
955#475C22×C1911yescharacteristic, complemented
956#474C22×C1911yescharacteristic, complemented
957#470C22×C1911yescharacteristic, complemented
958#470C22×C1911yescharacteristic, complemented
959#470C22×C1911yescharacteristic, complemented
960#468C22×C1911yescharacteristic, complemented
961#467C22×C1911yescharacteristic
962#467C22×C1911yescharacteristic
963#467C22×C1911yescharacteristic
964#467C22×C1911yescharacteristic
965#467C22×C1911yescharacteristic
966#467C22×C1911yescharacteristic
967#467C22×C1911yescharacteristic, complemented
968#467C22×C1911yescharacteristic, complemented
969#467C22×C1911yescharacteristic, complemented
970#465C22×C1911yescharacteristic
971#465C22×C1911yescharacteristic
972#465C22×C1911yescharacteristic, complemented
973#464C22×C1911yescharacteristic, complemented
974#464C22×C1911yescharacteristic, complemented
975#462C22×C1911yescharacteristic, complemented
976#462C22×C1911yescharacteristic, complemented
977#452C22×C1911yescharacteristic
978#452C22×C1911yescharacteristic
979#452C22×C1911yescharacteristic, complemented
980#452C22×C1911yescharacteristic, complemented
981#451C22×C1911yescharacteristic
982#451C22×C1911yescharacteristic
983#451C22×C1911yescharacteristic
984#451C22×C1911yescharacteristic
985#451C22×C1911yescharacteristic
986#451C22×C1911yescharacteristic, complemented
987#451C22×C1911yescharacteristic, complemented
988#448C22×C1911yescharacteristic
989#441C22×C1911yescharacteristic, complemented
990#441C22×C1911yescharacteristic, complemented
991#441C22×C1911yescharacteristic, complemented
992#440C22×C1911yescharacteristic, complemented
993C4×Q16C22×C1911yescharacteristic, complemented
994C4×Q16C22×C1911yescharacteristic, complemented
995C4×Q16C22×C1911yescharacteristic, complemented
996C4×SD16C22×C1911yescharacteristic, complemented
997#435C22×C1911yescharacteristic
998#435C22×C1911yescharacteristic
999#435C22×C1911yescharacteristic
1000#435C22×C1911yescharacteristic
1001C8×D4C22×C1911yescharacteristic
1002C8×D4C22×C1911yescharacteristic
1003C8×D4C22×C1911yescharacteristic
1004C8×D4C22×C1911yescharacteristic
1005#433C22×C1911yescharacteristic
1006#433C22×C1911yescharacteristic
1007#428C22×C1911yescharacteristic, complemented
1008#428C22×C1911yescharacteristic, complemented
1009#427C22×C1911yescharacteristic
1010#427C22×C1911yescharacteristic
1011#427C22×C1911yescharacteristic, complemented
1012C2×#107C22×C1911yescharacteristic
1013C2×#107C22×C1911yescharacteristic, complemented
1014C2×#106C22×C1911yescharacteristic
1015#419C22×C1911yescharacteristic, complemented
1016#417C22×C1911yescharacteristic, complemented
1017#416C22×C1911yescharacteristic
1018#416C22×C1911yescharacteristic
1019#416C22×C1911yescharacteristic, complemented
1020C2×#103C22×C1911yescharacteristic
1021C2×#103C22×C1911yescharacteristic
1022C2×#103C22×C1911yescharacteristic, complemented
1023#408C22×C1911yescharacteristic
1024#408C22×C1911yescharacteristic
1025C2×C22⋊C8C22×C1911yescharacteristic
1026C2×C22⋊C8C22×C1911yescharacteristic
1027C2×C19—22no—
1028C2×C19—41no—
1029C2×C19—41no—
1030C2×C19—41no—
1031C2×C19—41no—
1032C2×C19—81no—
1033C2×C19#348511yescharacteristic
1034C2×C19C2×#57811yescharacteristic
1035C2×C19#358411yescharacteristic
1036C2×#41C23×C1911yescharacteristic
1037C2×#41C23×C1911yescharacteristic
1038C2×#41C23×C1911yescharacteristic
1039C22×Q8C23×C1911yescharacteristic
1040C22×Q8C23×C1911yescharacteristic
1041C22×Q8C23×C1911yescharacteristic
1042C23×C4C23×C1911yescharacteristic
1043C2×Q16C23×C1911yescharacteristic
1044C2×Q16C23×C1911yescharacteristic
1045C2×Q16C23×C1911yescharacteristic
1046C2×Q16C23×C1911yescharacteristic
1047C2×Q16C23×C1911yescharacteristic
1048C2×Q16C23×C1911yescharacteristic
1049C2×SD16C23×C1911yescharacteristic
1050C2×SD16C23×C1911yescharacteristic
1051C2×M16C23×C1911yescharacteristic
1052C2×M16C23×C1911yescharacteristic
1053C22×C8C23×C1911yescharacteristic
1054C22×C8C23×C1911yescharacteristic
1055C22×C8C23×C1911yescharacteristic
1056C22×C8C23×C1911yescharacteristic
1057C22×C8C23×C1911yescharacteristic
1058C22×C8C23×C1911yescharacteristic
1059C4⋊Q8—21no—
1060C4⋊Q8—21no—
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8C23×C1911yescharacteristic
1064C4⋊Q8C23×C1911yescharacteristic
1065C4⋊Q8C23×C1911yescharacteristic
1066C4⋊Q8C23×C1911yescharacteristic
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125C23×C1911yescharacteristic
1094#125C23×C1911yescharacteristic
1095#125C23×C1911yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124C23×C1911yescharacteristic
1105#123—21no—
1106#123—21no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123D4×C1911yescharacteristic
1120#123D4×C1911yescharacteristic
1121C22⋊Q8—21no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8D4×C1911yescharacteristic
1140C22⋊Q8D4×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
1149C22⋊Q8C23×C1911yescharacteristic
1150C22⋊Q8C23×C1911yescharacteristic
1151C22⋊Q8C23×C1911yescharacteristic
1152C22⋊Q8C23×C1911yescharacteristic
1153C22⋊Q8C23×C1911yescharacteristic
1154C22⋊Q8C23×C1911yescharacteristic
1155C22⋊Q8C23×C1911yescharacteristic
1156C22⋊Q8C23×C1911yescharacteristic
1157C22⋊Q8C23×C1911yescharacteristic
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121D4×C1911yescharacteristic
1166#121D4×C1911yescharacteristic
1167#121C23×C1911yescharacteristic
1168#121C23×C1911yescharacteristic
1169#121C23×C1911yescharacteristic
1170#120—21no—
1171#120D4×C1911yescharacteristic
1172#120D4×C1911yescharacteristic
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—21no—
1179C4×Q8C23×C1911yescharacteristic
1180C4×Q8C23×C1911yescharacteristic
1181C4×Q8C23×C1911yescharacteristic
1182C4×Q8C23×C1911yescharacteristic
1183C4×Q8C23×C1911yescharacteristic
1184C4×Q8C23×C1911yescharacteristic
1185C4×Q8C23×C1911yescharacteristic
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4C23×C1911yescharacteristic
1199C4×D4C23×C1911yescharacteristic
1200C4×D4C23×C1911yescharacteristic
1201C4×D4C23×C1911yescharacteristic
1202C4×D4C23×C1911yescharacteristic
1203#117—21no—
1204#117—21no—
1205#117—21no—
1206#117—21no—
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117C23×C1911yescharacteristic
1213#117C23×C1911yescharacteristic
1214#117C23×C1911yescharacteristic
1215#117C23×C1911yescharacteristic
1216#117C23×C1911yescharacteristic
1217#117C23×C1911yescharacteristic
1218#117C23×C1911yescharacteristic
1219#117C23×C1911yescharacteristic
1220#117C23×C1911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4C23×C1911yescharacteristic
1225C2×C4⋊C4C23×C1911yescharacteristic
1226C2×C4⋊C4C23×C1911yescharacteristic
1227C2×C4⋊C4C23×C1911yescharacteristic
1228C2×C4⋊C4C23×C1911yescharacteristic
1229C2×C4⋊C4C23×C1911yescharacteristic
1230C2×C4⋊C4C23×C1911yescharacteristic
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C42—21no—
1235#107C23×C1911yescharacteristic
1236#107C23×C1911yescharacteristic
1237#107C23×C1911yescharacteristic
1238#107C23×C1911yescharacteristic
1239#107C23×C1911yescharacteristic
1240#107C23×C1911yescharacteristic
1241#107C23×C1911yescharacteristic
1242#107C23×C1911yescharacteristic
1243#107C23×C1911yescharacteristic
1244#107C23×C1911yescharacteristic
1245#107C23×C1911yescharacteristic
1246#107C23×C1911yescharacteristic
1247#107C23×C1911yescharacteristic
1248#107C23×C1911yescharacteristic
1249#106C23×C1911yescharacteristic
1250#106C23×C1911yescharacteristic
1251#106C23×C1911yescharacteristic
1252#106C23×C1911yescharacteristic
1253#106C23×C1911yescharacteristic
1254#106C23×C1911yescharacteristic
1255#106C23×C1911yescharacteristic
1256#106C23×C1911yescharacteristic
1257#106C23×C1911yescharacteristic
1258#106C23×C1911yescharacteristic
1259C4⋊C8C23×C1911yescharacteristic
1260C4⋊C8C23×C1911yescharacteristic
1261C4⋊C8C23×C1911yescharacteristic
1262C4⋊C8C23×C1911yescharacteristic
1263#103C23×C1911yescharacteristic
1264#103C23×C1911yescharacteristic
1265#103C23×C1911yescharacteristic
1266#103C23×C1911yescharacteristic
1267#103C23×C1911yescharacteristic
1268#103C23×C1911yescharacteristic
1269#103C23×C1911yescharacteristic
1270#103C23×C1911yescharacteristic
1271#103C23×C1911yescharacteristic
1272#103C23×C1911yescharacteristic
1273#103C23×C1911yescharacteristic
1274#103C23×C1911yescharacteristic
1275#103C23×C1911yescharacteristic
1276#103C23×C1911yescharacteristic
1277#103C23×C1911yescharacteristic
1278#103C23×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#102C23×C1911yescharacteristic
1290#102C23×C1911yescharacteristic
1291#102C23×C1911yescharacteristic
1292#102C23×C1911yescharacteristic
1293#102C23×C1911yescharacteristic
1294#102C23×C1911yescharacteristic
1295C22⋊C8C23×C1911yescharacteristic
1296C22⋊C8C23×C1911yescharacteristic
1297C22⋊C8C23×C1911yescharacteristic
1298C22⋊C8C23×C1911yescharacteristic
1299C22⋊C8C23×C1911yescharacteristic
1300C22⋊C8C23×C1911yescharacteristic
1301C22⋊C8C23×C1911yescharacteristic
1302C22⋊C8C23×C1911yescharacteristic
1303C22⋊C8C23×C1911yescharacteristic
1304C22⋊C8C23×C1911yescharacteristic
1305C22⋊C8C23×C1911yescharacteristic
1306C22⋊C8C23×C1911yescharacteristic
1307#97C23×C1911yescharacteristic
1308#97C23×C1911yescharacteristic
1309C4×C8C23×C1911yescharacteristic
1310C4×C8C23×C1911yescharacteristic
1311C19#6177111yescharacteristic, direct product factor, Sylow
1312C24C2×D4×C1911yescharacteristic
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318#41—41no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—21no—
1325C2×Q8—41no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—41no—
1329C2×Q8—41no—
1330C2×Q8—41no—
1331C2×Q8C2×D4×C1911yescharacteristic
1332C2×Q8C24×C1911yescharacteristic
1333C2×Q8C24×C1911yescharacteristic
1334C2×Q8C24×C1911yescharacteristic
1335C2×Q8C24×C1911yescharacteristic
1336C2×Q8C24×C1911yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4C2×D4×C1911yescharacteristic
1343C2×D4C2×D4×C1911yescharacteristic
1344C2×D4C2×D4×C1911yescharacteristic
1345C2×D4C2×D4×C1911yescharacteristic
1346C2×D4C2×D4×C1911yescharacteristic
1347C2×D4C2×D4×C1911yescharacteristic
1348C2×D4C2×D4×C1911yescharacteristic
1349C2×D4C24×C1911yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4C2×D4×C1911yescharacteristic
1366C22×C4C2×D4×C1911yescharacteristic
1367C22×C4C2×D4×C1911yescharacteristic
1368C22×C4C24×C1911yescharacteristic
1369C22×C4C24×C1911yescharacteristic
1370C22×C4C24×C1911yescharacteristic
1371C22×C4C24×C1911yescharacteristic
1372C22×C4C24×C1911yescharacteristic
1373Q16—41no—
1374Q16—41no—
1375Q16—41no—
1376Q16—41no—
1377Q16—41no—
1378Q16—41no—
1379SD16—41no—
1380SD16—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8—41no—
1388C2×C8—41no—
1389C2×C8C24×C1911yescharacteristic
1390C2×C8C24×C1911yescharacteristic
1391C2×C8C24×C1911yescharacteristic
1392C2×C8C24×C1911yescharacteristic
1393C2×C8C24×C1911yescharacteristic
1394C2×C8C24×C1911yescharacteristic
1395C2×C8C24×C1911yescharacteristic
1396C2×C8C24×C1911yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1440C4⋊C4C2×D4×C1911yescharacteristic
1441C4⋊C4C2×D4×C1911yescharacteristic
1442C4⋊C4C2×D4×C1911yescharacteristic
1443C4⋊C4C2×D4×C1911yescharacteristic
1444C4⋊C4C2×D4×C1911yescharacteristic
1445C4⋊C4C24×C1911yescharacteristic
1446C4⋊C4C24×C1911yescharacteristic
1447C4⋊C4C24×C1911yescharacteristic
1448C4⋊C4C24×C1911yescharacteristic
1449C4⋊C4C24×C1911yescharacteristic
1450C4⋊C4C24×C1911yescharacteristic
1451C4⋊C4C24×C1911yescharacteristic
1452C4⋊C4C24×C1911yescharacteristic
1453C4⋊C4C24×C1911yescharacteristic
1454C4⋊C4C24×C1911yescharacteristic
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
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⋊C4C2×D4×C1911yescharacteristic
1487C22⋊C4C2×D4×C1911yescharacteristic
1488C22⋊C4C2×D4×C1911yescharacteristic
1489C22⋊C4C2×D4×C1911yescharacteristic
1490C22⋊C4C2×D4×C1911yescharacteristic
1491C22⋊C4C2×D4×C1911yescharacteristic
1492C22⋊C4C2×D4×C1911yescharacteristic
1493C22⋊C4C2×D4×C1911yescharacteristic
1494C22⋊C4C2×D4×C1911yescharacteristic
1495C22⋊C4C2×D4×C1911yescharacteristic
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42C24×C1911yescharacteristic
1512C42C24×C1911yescharacteristic
1513C23—22no—
1514C23—21no—
1515C23—41no—
1516C23—41no—
1517C23C22×D4×C1911yescharacteristic
1518C23C22×D4×C1911yescharacteristic
1519C23C22×D4×C1911yescharacteristic
1520C23C22×D4×C1911yescharacteristic
1521C23C22×D4×C1911yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—41no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538Q8—81no—
1539D4—22no—
1540D4—22no—
1541D4—21no—
1542D4—21no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4C22×D4×C1911yescharacteristic
1595C2×C4C22×D4×C1911yescharacteristic
1596C2×C4C22×D4×C1911yescharacteristic
1597C2×C4C22×D4×C1911yescharacteristic
1598C2×C4C22×D4×C1911yescharacteristic
1599C2×C4C22×D4×C1911yescharacteristic
1600C2×C4C22×D4×C1911yescharacteristic
1601C2×C4C22×D4×C1911yescharacteristic
1602C2×C4C22×D4×C1911yescharacteristic
1603C2×C4C25×C1911yescharacteristic
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C8—21no—
1611C8—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—82no—
1630C22C19×#57812yes—
1631C22C23×D4×C1911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4C19×#58511yescharacteristic
1657C4C19×#58511yescharacteristic
1658C2—22no—
1659C2—41no—
1660C2—41no—
1661C2—41no—
1662C2—41no—
1663C2—81no—
1664C2C19×#348511yescharacteristic
1665C2C2×C19×#57811yescharacteristic
1666C2C19×#358411yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
prime radicalC19×#3541C2
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
2. C19×#3495C2semidirect
3. C19×#3349C2semidirect
4. C19×#3349C2semidirect
5. C19×#3346C2semidirect
6. C19×#3344C2semidirect
7. C19×#3342C2semidirect
8. C19×#3338C2semidirect
9. C19×#3337C2semidirect
10. C19×#3336C2semidirect
11. C19×#3316C2semidirect
12. C19×#3315C2semidirect
13. C19×#3313C2semidirect
14. C19×#3312C2semidirect
15. C19×#3302C2semidirect
16. C19×#3300C2semidirect
17. C19×#3300C2semidirect
18. C19×#3299C2semidirect
19. C19×#3243C2semidirect
20. C19×#3242C2semidirect
21. C19×#3202C2semidirect
22. C19×#3201C2semidirect
23. C19×#3190C2semidirect
24. C19×#3189C2semidirect
25. C19×#3127C2semidirect
26. C19×#3121C2semidirect
27. C19×#3098C2semidirect
28. C19×#3097C2semidirect
29. C19×#3091C2semidirect
30. C2×C19×#485C2semidirect
31. C19×#2977C2semidirect
77. C19×#501C22semidirect
78. C19×#501C22semidirect
79. C19×#500C22semidirect
80. C19×#499C22semidirect
81. C19×#491C22semidirect
82. C19×#489C22semidirect
83. C19×#488C22semidirect
84. C19×#487C22semidirect
97. C19×#485C22semidirect
98. C19×#485C22semidirect
99. C19×#485C22semidirect
100. C19×#485C22semidirect
101. C19×#485C22semidirect
107. C19×#484C22semidirect
108. C19×#484C22semidirect
109. C19×#484C22semidirect
112. C19×#483C22semidirect
113. C19×#483C22semidirect
116. C19×#482C22semidirect
120. C19×#480C22semidirect
121. C19×#479C22semidirect
122. C19×#479C22semidirect
123. C19×#479C22semidirect
124. C19×#479C22semidirect
125. C19×#479C22semidirect
126. C19×#478C22semidirect
127. C19×#477C22semidirect
128. C19×#477C22semidirect
129. C19×#477C22semidirect
130. C19×#475C22semidirect
131. C19×#475C22semidirect
132. C19×#474C22semidirect
133. C19×#470C22semidirect
134. C19×#470C22semidirect
135. C19×#470C22semidirect
136. C19×#468C22semidirect
143. C19×#467C22semidirect
144. C19×#467C22semidirect
145. C19×#467C22semidirect
148. C19×#465C22semidirect
149. C19×#464C22semidirect
150. C19×#464C22semidirect
151. C19×#462C22semidirect
152. C19×#462C22semidirect
155. C19×#452C22semidirect
156. C19×#452C22semidirect
162. C19×#451C22semidirect
163. C19×#451C22semidirect
165. C19×#441C22semidirect
166. C19×#441C22semidirect
167. C19×#441C22semidirect
168. C19×#440C22semidirect
169. C4×Q16×C19C22semidirect
170. C4×Q16×C19C22semidirect
171. C4×Q16×C19C22semidirect
172. C4×SD16×C19C22semidirect
183. C19×#428C22semidirect
184. C19×#428C22semidirect
187. C19×#427C22semidirect
189. C2×C19×#107C22semidirect
191. C19×#419C22semidirect
192. C19×#417C22semidirect
195. C19×#416C22semidirect
198. C2×C19×#103C22semidirect
679. #61771C19direct (N × H)
780. #3495C2×C19semidirect
781. #3349C2×C19semidirect
782. #3349C2×C19semidirect
783. #3346C2×C19semidirect
784. #3344C2×C19semidirect
785. #3342C2×C19semidirect
786. #3338C2×C19semidirect
787. #3337C2×C19semidirect
788. #3336C2×C19semidirect
789. #3316C2×C19semidirect
790. #3315C2×C19semidirect
791. #3313C2×C19semidirect
792. #3312C2×C19semidirect
793. #3302C2×C19semidirect
794. #3300C2×C19semidirect
795. #3300C2×C19semidirect
796. #3299C2×C19semidirect
797. #3243C2×C19semidirect
798. #3242C2×C19semidirect
799. #3202C2×C19semidirect
800. #3201C2×C19semidirect
801. #3190C2×C19semidirect
802. #3189C2×C19semidirect
803. #3127C2×C19semidirect
804. #3121C2×C19semidirect
805. #3098C2×C19semidirect
806. #3097C2×C19semidirect
807. #3091C2×C19semidirect
808. C2×#485C2×C19semidirect
809. #2977C2×C19semidirect
901. #501C22×C19semidirect
902. #501C22×C19semidirect
903. #500C22×C19semidirect
904. #499C22×C19semidirect
905. #491C22×C19semidirect
906. #489C22×C19semidirect
907. #488C22×C19semidirect
908. #487C22×C19semidirect
921. #485C22×C19semidirect
922. #485C22×C19semidirect
923. #485C22×C19semidirect
924. #485C22×C19semidirect
925. #485C22×C19semidirect
931. #484C22×C19semidirect
932. #484C22×C19semidirect
933. #484C22×C19semidirect
936. #483C22×C19semidirect
937. #483C22×C19semidirect
940. #482C22×C19semidirect
944. #480C22×C19semidirect
945. #479C22×C19semidirect
946. #479C22×C19semidirect
947. #479C22×C19semidirect
948. #479C22×C19semidirect
949. #479C22×C19semidirect
950. #478C22×C19semidirect
951. #477C22×C19semidirect
952. #477C22×C19semidirect
953. #477C22×C19semidirect
954. #475C22×C19semidirect
955. #475C22×C19semidirect
956. #474C22×C19semidirect
957. #470C22×C19semidirect
958. #470C22×C19semidirect
959. #470C22×C19semidirect
960. #468C22×C19semidirect
967. #467C22×C19semidirect
968. #467C22×C19semidirect
969. #467C22×C19semidirect
972. #465C22×C19semidirect
973. #464C22×C19semidirect
974. #464C22×C19semidirect
975. #462C22×C19semidirect
976. #462C22×C19semidirect
979. #452C22×C19semidirect
980. #452C22×C19semidirect
986. #451C22×C19semidirect
987. #451C22×C19semidirect
989. #441C22×C19semidirect
990. #441C22×C19semidirect
991. #441C22×C19semidirect
992. #440C22×C19semidirect
993. C4×Q16C22×C19semidirect
994. C4×Q16C22×C19semidirect
995. C4×Q16C22×C19semidirect
996. C4×SD16C22×C19semidirect
1007. #428C22×C19semidirect
1008. #428C22×C19semidirect
1011. #427C22×C19semidirect
1013. C2×#107C22×C19semidirect
1015. #419C22×C19semidirect
1016. #417C22×C19semidirect
1019. #416C22×C19semidirect
1022. C2×#103C22×C19semidirect
1311. C19#61771direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35412
C19×#34952
C19×#33492
C19×#33462
C19×#33442
C19×#33422
C19×#33382
C19×#33372
C19×#33362
C19×#33162
C19×#33152
C19×#33132
C19×#33122
C19×#33022
C19×#33002
C19×#32992
C19×#32432
C19×#32422
C19×#32022
C19×#32012
C19×#31902
C19×#31892
C19×#31272
C19×#31212
C19×#30982
C19×#30972
C19×#30912
C2×C19×#4852
C19×#29772
#6177119