Finite Group Databasebeta

← C19×#62321 #18068280

Subgroups — C19×#62321 #18068280

Order 4864.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3541C211yesmaximal, characteristic, complemented
2C19×#3536C211yesmaximal, characteristic, complemented
3C19×#3356C211yesmaximal, characteristic, complemented
4C19×#3345C211yesmaximal, characteristic, complemented
5C19×#3344C211yesmaximal, characteristic, complemented
6C19×#3335C211yesmaximal, characteristic, complemented
7C19×#3331C211yesmaximal, characteristic, complemented
8C19×#3323C211yesmaximal, characteristic, complemented
9C19×#3316C211yesmaximal, characteristic, complemented
10C19×#3316C211yesmaximal, characteristic, complemented
11C19×#3311C211yesmaximal, characteristic, complemented
12C19×#3308C211yesmaximal, characteristic, complemented
13C19×#3301C211yesmaximal, characteristic, complemented
14C19×#3298C211yesmaximal, characteristic, complemented
15C19×#3285C211yesmaximal, characteristic, complemented
16C19×#3275C211yesmaximal, characteristic, complemented
17C19×#3270C211yesmaximal, characteristic, complemented
18C19×#3267C211yesmaximal, characteristic, complemented
19C19×#3263C211yesmaximal, characteristic, complemented
20C19×#3258C211yesmaximal, characteristic, complemented
21C19×#3204C211yesmaximal, characteristic, complemented
22C19×#3201C211yesmaximal, characteristic, complemented
23C19×#3190C211yesmaximal, characteristic, complemented
24C19×#3187C211yesmaximal, characteristic, complemented
25C19×#3178C211yesmaximal, characteristic, complemented
26C19×#3173C211yesmaximal, characteristic, complemented
27C19×#3063C211yesmaximal, characteristic, complemented
28C19×#3060C211yesmaximal, characteristic, complemented
29C19×#3055C211yesmaximal, characteristic, complemented
30C2×C19×#470C211yesmaximal, characteristic, complemented
31C19×#2933C211yesmaximal, characteristic, complemented
32C2×C19×#137C2211yescharacteristic, complemented
33C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C19×#135C2211yescharacteristic, complemented
35C22×Q16×C19C2211yescharacteristic, complemented
36C2×C19×#131C2211yescharacteristic, complemented
37C22×M16×C19C2211yescharacteristic
38C19×#563—21no—
39C19×#562—21no—
40C19×#562—21no—
41C19×#562—21no—
42C19×#556C2211yescharacteristic
43C19×#554—21no—
44C19×#554C2211yescharacteristic
45C19×#554C2211yescharacteristic
46C19×#554C2211yescharacteristic, complemented
47C19×#553—21no—
48C19×#553C2211yescharacteristic, complemented
49C19×#552C2211yescharacteristic
50D4×Q8×C19C2211yescharacteristic, complemented
51C19×#548C2211yescharacteristic
52C19×#548C2211yescharacteristic
53C19×#548C2211yescharacteristic
54C19×#548C2211yescharacteristic, complemented
55C19×#547C2211yescharacteristic
56C19×#547C2211yescharacteristic
57C19×#547C2211yescharacteristic
58C19×#546—21no—
59C19×#546—21no—
60C19×#546C2211yescharacteristic
61C19×#546C2211yescharacteristic
62C19×#543—21no—
63C19×#542—21no—
64C19×#542C2211yescharacteristic
65C19×#542C2211yescharacteristic
66C19×#542C2211yescharacteristic, complemented
67C19×#541C2211yescharacteristic, complemented
68C19×#539—21no—
69C19×#539—21no—
70C19×#538—21no—
71C19×#538—21no—
72C19×#538—21no—
73C19×#537—21no—
74C19×#537C2211yescharacteristic
75C19×#537C2211yescharacteristic
76C19×#537C2211yescharacteristic, complemented
77C19×#536C2211yescharacteristic, complemented
78C19×#525C2211yescharacteristic
79C19×#525C2211yescharacteristic
80C2×C19×C22⋊Q8C2211yescharacteristic
81C2×C19×C22⋊Q8C2211yescharacteristic
82C2×C19×#121C2211yescharacteristic
83C19×#501C2211yescharacteristic, complemented
84C19×#498C2211yescharacteristic, complemented
85C19×#497C2211yescharacteristic, complemented
86C19×#495C2211yescharacteristic, complemented
87C19×#489C2211yescharacteristic, complemented
88C19×#489C2211yescharacteristic, complemented
89C19×#488C2211yescharacteristic, complemented
90C19×#487C2211yescharacteristic, complemented
91C19×#485C2211yescharacteristic
92C19×#485C2211yescharacteristic
93C19×#485C2211yescharacteristic, complemented
94C19×#484C2211yescharacteristic, complemented
95C19×#483C2211yescharacteristic
96C19×#483C2211yescharacteristic
97C19×#483C2211yescharacteristic, complemented
98C19×#483C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic, complemented
100C19×#483C2211yescharacteristic, complemented
101C19×#482C2211yescharacteristic, complemented
102C19×#481C2211yescharacteristic
103C19×#481C2211yescharacteristic
104C19×#481C2211yescharacteristic, complemented
105C19×#481C2211yescharacteristic, complemented
106C19×#480C2211yescharacteristic, complemented
107C19×#479C2211yescharacteristic, complemented
108C19×#478C2211yescharacteristic, complemented
109C19×#477C2211yescharacteristic, complemented
110C19×#476C2211yescharacteristic, complemented
111C19×#476C2211yescharacteristic, complemented
112C19×#475C2211yescharacteristic, complemented
113C19×#475C2211yescharacteristic, complemented
114C19×#475C2211yescharacteristic, complemented
115C19×#470C2211yescharacteristic
116C19×#470C2211yescharacteristic
117C19×#470C2211yescharacteristic
118C19×#470C2211yescharacteristic
119C19×#470C2211yescharacteristic, complemented
120C19×#470C2211yescharacteristic, complemented
121C19×#470C2211yescharacteristic, complemented
122C19×#470C2211yescharacteristic, complemented
123C19×#470C2211yescharacteristic, complemented
124C19×#470C2211yescharacteristic, complemented
125C19×#469C2211yescharacteristic
126C19×#469C2211yescharacteristic
127C19×#469C2211yescharacteristic, complemented
128C19×#468C2211yescharacteristic
129C19×#468C2211yescharacteristic
130C19×#468C2211yescharacteristic, complemented
131C19×#467C2211yescharacteristic, complemented
132C19×#467C2211yescharacteristic, complemented
133C19×#467C2211yescharacteristic, complemented
134C19×#466C2211yescharacteristic
135C19×#466C2211yescharacteristic
136C19×#465C2211yescharacteristic
137C19×#465C2211yescharacteristic
138C19×#465C2211yescharacteristic
139C19×#465C2211yescharacteristic
140C19×#465C2211yescharacteristic
141C19×#465C2211yescharacteristic
142C19×#465C2211yescharacteristic, complemented
143C19×#465C2211yescharacteristic, complemented
144C19×#465C2211yescharacteristic, complemented
145C19×#465C2211yescharacteristic, complemented
146C19×#465C2211yescharacteristic, complemented
147C19×#464C2211yescharacteristic, complemented
148C19×#464C2211yescharacteristic, complemented
149C19×#464C2211yescharacteristic, complemented
150C19×#464C2211yescharacteristic, complemented
151C19×#463C2211yescharacteristic, complemented
152C19×#463C2211yescharacteristic, complemented
153C19×#462C2211yescharacteristic, complemented
154C19×#461C2211yescharacteristic, complemented
155C19×#452C2211yescharacteristic
156C19×#452C2211yescharacteristic
157C19×#452C2211yescharacteristic, complemented
158C19×#452C2211yescharacteristic, complemented
159C19×#452C2211yescharacteristic, complemented
160C19×#452C2211yescharacteristic, complemented
161C19×#451C2211yescharacteristic, complemented
162C19×#451C2211yescharacteristic, complemented
163C19×#450C2211yescharacteristic
164C19×#450C2211yescharacteristic
165C19×#449C2211yescharacteristic, complemented
166C19×#449C2211yescharacteristic, complemented
167C19×#448C2211yescharacteristic
168C19×#448C2211yescharacteristic
169C19×#448C2211yescharacteristic, complemented
170C19×#448C2211yescharacteristic, complemented
171C19×#442C2211yescharacteristic, complemented
172C19×#441C2211yescharacteristic, complemented
173C19×#441C2211yescharacteristic, complemented
174C19×#440C2211yescharacteristic, complemented
175C4×Q16×C19C2211yescharacteristic, complemented
176C4×SD16×C19C2211yescharacteristic, complemented
177C4×SD16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C19×#436C2211yescharacteristic
180C19×#436C2211yescharacteristic
181C19×#435C2211yescharacteristic
182C19×#435C2211yescharacteristic
183C19×#435C2211yescharacteristic, complemented
184C19×#435C2211yescharacteristic, complemented
185C8×D4×C19C2211yescharacteristic, complemented
186C8×D4×C19C2211yescharacteristic, complemented
187C19×#428C2211yescharacteristic
188C19×#428C2211yescharacteristic, complemented
189C2×C19×#106C2211yescharacteristic, complemented
190C2×C19×#106C2211yescharacteristic, complemented
191C19×#424C2211yescharacteristic, complemented
192C19×#418C2211yescharacteristic
193C19×#417C2211yescharacteristic
194C19×#417C2211yescharacteristic, complemented
195C19×#417C2211yescharacteristic, complemented
196C19×#416C2211yescharacteristic, complemented
197C2×C19×#103C2211yescharacteristic, complemented
198C2×C19×#103C2211yescharacteristic, complemented
199C2×C19×#103C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C2×C19×C22⋊C8C2211yescharacteristic
202C19×#405C2211yescharacteristic, complemented
203C2×#41×C19—21no—
204C2×#41×C19—21no—
205C2×#41×C19C2311yescharacteristic
206C2×#41×C19C2311yescharacteristic
207C2×#41×C19C2311yescharacteristic
208C2×#41×C19C2311yescharacteristic
209C2×#41×C19C2311yescharacteristic
210C22×Q8×C19C2311yescharacteristic
211C22×Q8×C19C2311yescharacteristic
212C22×Q8×C19C2311yescharacteristic
213C22×D4×C19—21no—
214C22×D4×C19C2311yescharacteristic
215C23×C4×C19C2311yescharacteristic
216C19×#137—42no—
217C19×AGL(1,ℤ/8)—42no—
218C19×#135—42no—
219C2×Q16×C19—42no—
220C2×Q16×C19C2311yescharacteristic
221C2×Q16×C19C2311yescharacteristic
222C2×Q16×C19C2311yescharacteristic
223C2×Q16×C19C2311yescharacteristic
224C2×Q16×C19C2311yescharacteristic
225C2×Q16×C19C2311yescharacteristic
226C2×SD16×C19C2311yescharacteristic
227C2×SD16×C19C2311yescharacteristic
228C2×SD16×C19C2311yescharacteristic
229C2×SD16×C19C2311yescharacteristic
230C2×SD16×C19C2311yescharacteristic
231C2×SD16×C19C2311yescharacteristic
232C2×SD16×C19C2311yescharacteristic
233C2×SD16×C19C2311yescharacteristic
234C2×D8×C19C2311yescharacteristic
235C2×D8×C19C2311yescharacteristic
236C19×#131—42no—
237C2×M16×C19—42no—
238C2×M16×C19C2311yescharacteristic
239C2×M16×C19C2311yescharacteristic
240C2×M16×C19C2311yescharacteristic
241C2×M16×C19C2311yescharacteristic
242C2×M16×C19C2311yescharacteristic
243C2×M16×C19C2311yescharacteristic
244C22×C8×C19C2311yescharacteristic
245C22×C8×C19C2311yescharacteristic
246C22×C8×C19C2311yescharacteristic
247C22×C8×C19C2311yescharacteristic
248C22×C8×C19C2311yescharacteristic
249C22×C8×C19C2311yescharacteristic
250C19×C4⋊Q8—21no—
251C19×C4⋊Q8—21no—
252C19×C4⋊Q8C2311yescharacteristic
253C19×C4⋊Q8C2311yescharacteristic
254C19×C4⋊Q8C2311yescharacteristic
255C19×C4⋊Q8C2311yescharacteristic
256C19×#126—21no—
257C19×#126—21no—
258C19×#126—21no—
259C19×#126—21no—
260C19×#126—21no—
261C19×#126—21no—
262C19×#126—21no—
263C19×#126—21no—
264C19×#126—21no—
265C19×#125—21no—
266C19×#125—21no—
267C19×#125—21no—
268C19×#125—21no—
269C19×#125—21no—
270C19×#125—21no—
271C19×#125C2311yescharacteristic
272C19×#124—21no—
273C19×#124—21no—
274C19×#124—21no—
275C19×#124—21no—
276C19×#124—21no—
277C19×#124—21no—
278C19×#124—21no—
279C19×#124—21no—
280C19×#124—21no—
281C19×#124C2311yescharacteristic
282C19×#124C2311yescharacteristic
283C19×#124C2311yescharacteristic
284C19×#123—21no—
285C19×#123—21no—
286C19×#123—21no—
287C19×#123—21no—
288C19×#123—21no—
289C19×#123—21no—
290C19×#123—21no—
291C19×#123—21no—
292C19×#123—21no—
293C19×#123—21no—
294C19×#123—21no—
295C19×#123—21no—
296C19×#123—21no—
297C19×#123—21no—
298C19×#123—21no—
299C19×#123—21no—
300C19×#123D411yescharacteristic
301C19×#123D411yescharacteristic
302C19×C22⋊Q8—21no—
303C19×C22⋊Q8—21no—
304C19×C22⋊Q8—21no—
305C19×C22⋊Q8—21no—
306C19×C22⋊Q8—21no—
307C19×C22⋊Q8—21no—
308C19×C22⋊Q8—21no—
309C19×C22⋊Q8—21no—
310C19×C22⋊Q8—21no—
311C19×C22⋊Q8—21no—
312C19×C22⋊Q8—21no—
313C19×C22⋊Q8—21no—
314C19×C22⋊Q8—21no—
315C19×C22⋊Q8—21no—
316C19×C22⋊Q8—21no—
317C19×C22⋊Q8—21no—
318C19×C22⋊Q8—21no—
319C19×C22⋊Q8—21no—
320C19×C22⋊Q8—21no—
321C19×C22⋊Q8—21no—
322C19×C22⋊Q8—21no—
323C19×C22⋊Q8—21no—
324C19×C22⋊Q8—21no—
325C19×C22⋊Q8—21no—
326C19×C22⋊Q8D411yescharacteristic
327C19×C22⋊Q8D411yescharacteristic
328C19×C22⋊Q8C2311yescharacteristic
329C19×C22⋊Q8C2311yescharacteristic
330C19×C22⋊Q8C2311yescharacteristic
331C19×C22⋊Q8C2311yescharacteristic
332C19×C22⋊Q8C2311yescharacteristic
333C19×C22⋊Q8C2311yescharacteristic
334C19×C22⋊Q8C2311yescharacteristic
335C19×C22⋊Q8C2311yescharacteristic
336C19×C22⋊Q8C2311yescharacteristic
337C19×C22⋊Q8C2311yescharacteristic
338C19×C22⋊Q8C2311yescharacteristic
339C19×C22⋊Q8C2311yescharacteristic
340C19×C22⋊Q8C2311yescharacteristic
341C19×C22⋊Q8C2311yescharacteristic
342C19×C22⋊Q8C2311yescharacteristic
343C19×#121—21no—
344C19×#121—21no—
345C19×#121—21no—
346C19×#121—21no—
347C19×#121—21no—
348C19×#121—21no—
349C19×#121—21no—
350C19×#121—21no—
351C19×#121—21no—
352C19×#121—21no—
353C19×#121—21no—
354C19×#121—21no—
355C19×#121—21no—
356C19×#121—21no—
357C19×#121—21no—
358C19×#121—21no—
359C19×#121—21no—
360C19×#121—21no—
361C19×#121—21no—
362C19×#121D411yescharacteristic
363C19×#121D411yescharacteristic
364C19×#121C2311yescharacteristic
365C19×#121C2311yescharacteristic
366C19×#121C2311yescharacteristic
367C19×#121C2311yescharacteristic
368C19×#121C2311yescharacteristic
369C19×#121C2311yescharacteristic
370C19×#121C2311yescharacteristic
371C19×#121C2311yescharacteristic
372C19×#121C2311yescharacteristic
373C19×#120—21no—
374C19×#120—21no—
375C19×#120—21no—
376C19×#120D411yescharacteristic
377C19×#120D411yescharacteristic
378C4×Q8×C19—21no—
379C4×Q8×C19C2311yescharacteristic
380C4×Q8×C19C2311yescharacteristic
381C4×Q8×C19C2311yescharacteristic
382C4×Q8×C19C2311yescharacteristic
383C4×Q8×C19C2311yescharacteristic
384C4×D4×C19—21no—
385C4×D4×C19—21no—
386C4×D4×C19—21no—
387C4×D4×C19—21no—
388C4×D4×C19—21no—
389C4×D4×C19—21no—
390C4×D4×C19—21no—
391C4×D4×C19—21no—
392C4×D4×C19—21no—
393C4×D4×C19—21no—
394C4×D4×C19—21no—
395C4×D4×C19C2311yescharacteristic
396C4×D4×C19C2311yescharacteristic
397C4×D4×C19C2311yescharacteristic
398C4×D4×C19C2311yescharacteristic
399C4×D4×C19C2311yescharacteristic
400C4×D4×C19C2311yescharacteristic
401C4×D4×C19C2311yescharacteristic
402C19×#117—21no—
403C19×#117C2311yescharacteristic
404C19×#117C2311yescharacteristic
405C19×#117C2311yescharacteristic
406C2×C4⋊C4×C19—21no—
407C2×C4⋊C4×C19—21no—
408C2×C4⋊C4×C19—21no—
409C2×C4⋊C4×C19C2311yescharacteristic
410C2×C4⋊C4×C19C2311yescharacteristic
411C2×C4⋊C4×C19C2311yescharacteristic
412C2×C4⋊C4×C19C2311yescharacteristic
413C2×C4⋊C4×C19C2311yescharacteristic
414C2×C4⋊C4×C19C2311yescharacteristic
415C2×C22⋊C4×C19—21no—
416C2×C22⋊C4×C19—21no—
417C2×C22⋊C4×C19—21no—
418C2×C22⋊C4×C19—21no—
419C2×C22⋊C4×C19—21no—
420C19×#107C2311yescharacteristic
421C19×#107C2311yescharacteristic
422C19×#107C2311yescharacteristic
423C19×#107C2311yescharacteristic
424C19×#106C2311yescharacteristic
425C19×#106C2311yescharacteristic
426C19×#106C2311yescharacteristic
427C19×#106C2311yescharacteristic
428C19×#106C2311yescharacteristic
429C19×#106C2311yescharacteristic
430C19×#106C2311yescharacteristic
431C19×#106C2311yescharacteristic
432C19×#106C2311yescharacteristic
433C19×#106C2311yescharacteristic
434C19×#106C2311yescharacteristic
435C19×#106C2311yescharacteristic
436C19×C4⋊C8C2311yescharacteristic
437C19×C4⋊C8C2311yescharacteristic
438C19×C4⋊C8C2311yescharacteristic
439C19×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
457C19×#103C2311yescharacteristic
458C19×#103C2311yescharacteristic
459C19×#103C2311yescharacteristic
460C19×#102C2311yescharacteristic
461C19×#102C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#102C2311yescharacteristic
467C19×#102C2311yescharacteristic
468C19×#102C2311yescharacteristic
469C19×#102C2311yescharacteristic
470C19×#102C2311yescharacteristic
471C19×#102C2311yescharacteristic
472C19×C22⋊C8C2311yescharacteristic
473C19×C22⋊C8C2311yescharacteristic
474C19×C22⋊C8C2311yescharacteristic
475C19×C22⋊C8C2311yescharacteristic
476C19×C22⋊C8C2311yescharacteristic
477C19×C22⋊C8C2311yescharacteristic
478C19×C22⋊C8C2311yescharacteristic
479C19×C22⋊C8C2311yescharacteristic
480C19×#97C2311yescharacteristic
481C19×#97C2311yescharacteristic
482C4×C8×C19C2311yescharacteristic
483C4×C8×C19C2311yescharacteristic
484C24×C19—21no—
485C24×C19C2×D411yescharacteristic
486#41×C19—41no—
487#41×C19—41no—
488#41×C19—41no—
489#41×C19—41no—
490#41×C19—41no—
491#41×C19—41no—
492#41×C19—41no—
493#41×C19—41no—
494#41×C19—41no—
495#41×C19—41no—
496#41×C19—82no—
497#41×C19—82no—
498C2×Q8×C19—21no—
499C2×Q8×C19—21no—
500C2×Q8×C19—21no—
501C2×Q8×C19—21no—
502C2×Q8×C19—21no—
503C2×Q8×C19—21no—
504C2×Q8×C19—41no—
505C2×Q8×C19—41no—
506C2×Q8×C19—41no—
507C2×Q8×C19—41no—
508C2×Q8×C19—41no—
509C2×Q8×C19—41no—
510C2×Q8×C19C2×D411yescharacteristic
511C2×Q8×C19C2411yescharacteristic
512C2×Q8×C19C2411yescharacteristic
513C2×Q8×C19C2411yescharacteristic
514C2×Q8×C19C2411yescharacteristic
515C2×Q8×C19C2411yescharacteristic
516C2×D4×C19—21no—
517C2×D4×C19—21no—
518C2×D4×C19—21no—
519C2×D4×C19—21no—
520C2×D4×C19—21no—
521C2×D4×C19—21no—
522C2×D4×C19—21no—
523C2×D4×C19—21no—
524C2×D4×C19—21no—
525C2×D4×C19—21no—
526C2×D4×C19—21no—
527C2×D4×C19—21no—
528C2×D4×C19—21no—
529C2×D4×C19—21no—
530C2×D4×C19—41no—
531C2×D4×C19—41no—
532C2×D4×C19—82no—
533C2×D4×C19C2×D411yescharacteristic
534C2×D4×C19C2×D411yescharacteristic
535C2×D4×C19C2×D411yescharacteristic
536C2×D4×C19C2×D411yescharacteristic
537C2×D4×C19C2×D411yescharacteristic
538C2×D4×C19C2×D411yescharacteristic
539C2×D4×C19C2×D411yescharacteristic
540C2×D4×C19C2411yescharacteristic
541C2×D4×C19C2411yescharacteristic
542C2×D4×C19C2411yescharacteristic
543C22×C4×C19—21no—
544C22×C4×C19—21no—
545C22×C4×C19—21no—
546C22×C4×C19—21no—
547C22×C4×C19—21no—
548C22×C4×C19—21no—
549C22×C4×C19—21no—
550C22×C4×C19—21no—
551C22×C4×C19—21no—
552C22×C4×C19—21no—
553C22×C4×C19—21no—
554C22×C4×C19—21no—
555C22×C4×C19—21no—
556C22×C4×C19—21no—
557C22×C4×C19—21no—
558C22×C4×C19—21no—
559C22×C4×C19—41no—
560C22×C4×C19—41no—
561C22×C4×C19C2×D411yescharacteristic
562C22×C4×C19C2×D411yescharacteristic
563C22×C4×C19C2×D411yescharacteristic
564C22×C4×C19C2411yescharacteristic
565C22×C4×C19C2411yescharacteristic
566C22×C4×C19C2411yescharacteristic
567C22×C4×C19C2411yescharacteristic
568C22×C4×C19C2411yescharacteristic
569Q16×C19—22no—
570Q16×C19—22no—
571Q16×C19—41no—
572Q16×C19—41no—
573Q16×C19—41no—
574Q16×C19—41no—
575SD16×C19—22no—
576SD16×C19—41no—
577SD16×C19—41no—
578SD16×C19—41no—
579SD16×C19—41no—
580SD16×C19—41no—
581SD16×C19—41no—
582SD16×C19—41no—
583D8×C19—22no—
584D8×C19—41no—
585M16×C19—22no—
586M16×C19—22no—
587M16×C19—22no—
588M16×C19—41no—
589M16×C19—41no—
590M16×C19—41no—
591C2×C8×C19—22no—
592C2×C8×C19—22no—
593C2×C8×C19—41no—
594C2×C8×C19—41no—
595C2×C8×C19—41no—
596C2×C8×C19—41no—
597C2×C8×C19C2411yescharacteristic
598C2×C8×C19C2411yescharacteristic
599C2×C8×C19C2411yescharacteristic
600C2×C8×C19C2411yescharacteristic
601C2×C8×C19C2411yescharacteristic
602C2×C8×C19C2411yescharacteristic
603C2×C8×C19C2411yescharacteristic
604C2×C8×C19C2411yescharacteristic
605C4⋊C4×C19—21no—
606C4⋊C4×C19—21no—
607C4⋊C4×C19—21no—
608C4⋊C4×C19—21no—
609C4⋊C4×C19—21no—
610C4⋊C4×C19—21no—
611C4⋊C4×C19—21no—
612C4⋊C4×C19—21no—
613C4⋊C4×C19—21no—
614C4⋊C4×C19—21no—
615C4⋊C4×C19—21no—
616C4⋊C4×C19—21no—
617C4⋊C4×C19—21no—
618C4⋊C4×C19—21no—
619C4⋊C4×C19—21no—
620C4⋊C4×C19—21no—
621C4⋊C4×C19—21no—
622C4⋊C4×C19—21no—
623C4⋊C4×C19—21no—
624C4⋊C4×C19—21no—
625C4⋊C4×C19—21no—
626C4⋊C4×C19—21no—
627C4⋊C4×C19—21no—
628C4⋊C4×C19—21no—
629C4⋊C4×C19—21no—
630C4⋊C4×C19—21no—
631C4⋊C4×C19—21no—
632C4⋊C4×C19—21no—
633C4⋊C4×C19—21no—
634C4⋊C4×C19—21no—
635C4⋊C4×C19—21no—
636C4⋊C4×C19—21no—
637C4⋊C4×C19—21no—
638C4⋊C4×C19C2×D411yescharacteristic
639C4⋊C4×C19C2×D411yescharacteristic
640C4⋊C4×C19C2×D411yescharacteristic
641C4⋊C4×C19C2×D411yescharacteristic
642C4⋊C4×C19C2×D411yescharacteristic
643C4⋊C4×C19C2×D411yescharacteristic
644C4⋊C4×C19C2411yescharacteristic
645C4⋊C4×C19C2411yescharacteristic
646C4⋊C4×C19C2411yescharacteristic
647C4⋊C4×C19C2411yescharacteristic
648C4⋊C4×C19C2411yescharacteristic
649C4⋊C4×C19C2411yescharacteristic
650C4⋊C4×C19C2411yescharacteristic
651C4⋊C4×C19C2411yescharacteristic
652C22⋊C4×C19—21no—
653C22⋊C4×C19—21no—
654C22⋊C4×C19—21no—
655C22⋊C4×C19—21no—
656C22⋊C4×C19—21no—
657C22⋊C4×C19—21no—
658C22⋊C4×C19—21no—
659C22⋊C4×C19—21no—
660C22⋊C4×C19—21no—
661C22⋊C4×C19—21no—
662C22⋊C4×C19—21no—
663C22⋊C4×C19—21no—
664C22⋊C4×C19—21no—
665C22⋊C4×C19—21no—
666C22⋊C4×C19—21no—
667C22⋊C4×C19—21no—
668C22⋊C4×C19—21no—
669C22⋊C4×C19—21no—
670C22⋊C4×C19—21no—
671C22⋊C4×C19—21no—
672C22⋊C4×C19—21no—
673C22⋊C4×C19—21no—
674C22⋊C4×C19—21no—
675C22⋊C4×C19—21no—
676C22⋊C4×C19—21no—
677C22⋊C4×C19—21no—
678C22⋊C4×C19—21no—
679C22⋊C4×C19—21no—
680C22⋊C4×C19—21no—
681C22⋊C4×C19—21no—
682C22⋊C4×C19—21no—
683C22⋊C4×C19—21no—
684C22⋊C4×C19—21no—
685C22⋊C4×C19—21no—
686C22⋊C4×C19—21no—
687C22⋊C4×C19C2×D411yescharacteristic
688C22⋊C4×C19C2×D411yescharacteristic
689C22⋊C4×C19C2×D411yescharacteristic
690C22⋊C4×C19C2×D411yescharacteristic
691C22⋊C4×C19C2×D411yescharacteristic
692C22⋊C4×C19C2×D411yescharacteristic
693C22⋊C4×C19C2×D411yescharacteristic
694C22⋊C4×C19C2×D411yescharacteristic
695C22⋊C4×C19C2×D411yescharacteristic
696C22⋊C4×C19C2×D411yescharacteristic
697C42×C19—21no—
698C42×C19—21no—
699C42×C19—21no—
700C42×C19—21no—
701C42×C19—21no—
702C42×C19—21no—
703C42×C19—21no—
704C42×C19C2411yescharacteristic
705C42×C19C2411yescharacteristic
706#62321C1911yesmaximal, characteristic, direct product factor, Sylow
707C23×C19—22no—
708C23×C19—21no—
709C23×C19—21no—
710C23×C19—21no—
711C23×C19—41no—
712C23×C19—41no—
713C23×C19—42no—
714C23×C19—81no—
715C23×C19—81no—
716C23×C19C22×D411yescharacteristic
717C23×C19C22×D411yescharacteristic
718C23×C19C22×D411yescharacteristic
719C23×C19C22×D411yescharacteristic
720C23×C19C22×D411yescharacteristic
721Q8×C19—21no—
722Q8×C19—21no—
723Q8×C19—21no—
724Q8×C19—21no—
725Q8×C19—21no—
726Q8×C19—21no—
727Q8×C19—21no—
728Q8×C19—21no—
729Q8×C19—21no—
730Q8×C19—21no—
731Q8×C19—41no—
732Q8×C19—81no—
733Q8×C19—81no—
734Q8×C19—81no—
735Q8×C19—81no—
736Q8×C19—81no—
737Q8×C19—81no—
738D4×C19—22no—
739D4×C19—22no—
740D4×C19—21no—
741D4×C19—21no—
742D4×C19—21no—
743D4×C19—21no—
744D4×C19—21no—
745D4×C19—21no—
746D4×C19—41no—
747D4×C19—41no—
748D4×C19—41no—
749D4×C19—41no—
750D4×C19—41no—
751D4×C19—42no—
752D4×C19—42no—
753D4×C19—42no—
754D4×C19—81no—
755D4×C19—81no—
756D4×C19—81no—
757D4×C19—81no—
758D4×C19—81no—
759D4×C19—81no—
760D4×C19—81no—
761D4×C19—81no—
762D4×C19—81no—
763D4×C19—81no—
764D4×C19—81no—
765C2×C4×C19—21no—
766C2×C4×C19—21no—
767C2×C4×C19—21no—
768C2×C4×C19—21no—
769C2×C4×C19—21no—
770C2×C4×C19—21no—
771C2×C4×C19—21no—
772C2×C4×C19—21no—
773C2×C4×C19—21no—
774C2×C4×C19—21no—
775C2×C4×C19—21no—
776C2×C4×C19—21no—
777C2×C4×C19—21no—
778C2×C4×C19—21no—
779C2×C4×C19—21no—
780C2×C4×C19—21no—
781C2×C4×C19—21no—
782C2×C4×C19—21no—
783C2×C4×C19—21no—
784C2×C4×C19—21no—
785C2×C4×C19—21no—
786C2×C4×C19—21no—
787C2×C4×C19—21no—
788C2×C4×C19—41no—
789C2×C4×C19—41no—
790C2×C4×C19—41no—
791C2×C4×C19—42no—
792C2×C4×C19—81no—
793C2×C4×C19—81no—
794C2×C4×C19—81no—
795C2×C4×C19—81no—
796C2×C4×C19—81no—
797C2×C4×C19—81no—
798C2×C4×C19—81no—
799C2×C4×C19—81no—
800C2×C4×C19—81no—
801C2×C4×C19—81no—
802C2×C4×C19—81no—
803C2×C4×C19—81no—
804C2×C4×C19—81no—
805C2×C4×C19—81no—
806C2×C4×C19—81no—
807C2×C4×C19C22×D411yescharacteristic
808C2×C4×C19C22×D411yescharacteristic
809C2×C4×C19C22×D411yescharacteristic
810C2×C4×C19C22×D411yescharacteristic
811C2×C4×C19C22×D411yescharacteristic
812C2×C4×C19C22×D411yescharacteristic
813C2×C4×C19C22×D411yescharacteristic
814C2×C4×C19C22×D411yescharacteristic
815C2×C4×C19C22×D411yescharacteristic
816C2×C4×C19C2511yescharacteristic
817C8×C19—21no—
818C8×C19—21no—
819C8×C19—21no—
820C8×C19—21no—
821C8×C19—21no—
822C8×C19—21no—
823C8×C19—21no—
824C8×C19H(5,𝔽2)12yes—
825#3541C2×C1911yescharacteristic, complemented
826#3536C2×C1911yescharacteristic, complemented
827#3356C2×C1911yescharacteristic, complemented
828#3345C2×C1911yescharacteristic, complemented
829#3344C2×C1911yescharacteristic, complemented
830#3335C2×C1911yescharacteristic, complemented
831#3331C2×C1911yescharacteristic, complemented
832#3323C2×C1911yescharacteristic, complemented
833#3316C2×C1911yescharacteristic, complemented
834#3316C2×C1911yescharacteristic, complemented
835#3311C2×C1911yescharacteristic, complemented
836#3308C2×C1911yescharacteristic, complemented
837#3301C2×C1911yescharacteristic, complemented
838#3298C2×C1911yescharacteristic, complemented
839#3285C2×C1911yescharacteristic, complemented
840#3275C2×C1911yescharacteristic, complemented
841#3270C2×C1911yescharacteristic, complemented
842#3267C2×C1911yescharacteristic, complemented
843#3263C2×C1911yescharacteristic, complemented
844#3258C2×C1911yescharacteristic, complemented
845#3204C2×C1911yescharacteristic, complemented
846#3201C2×C1911yescharacteristic, complemented
847#3190C2×C1911yescharacteristic, complemented
848#3187C2×C1911yescharacteristic, complemented
849#3178C2×C1911yescharacteristic, complemented
850#3173C2×C1911yescharacteristic, complemented
851#3063C2×C1911yescharacteristic, complemented
852#3060C2×C1911yescharacteristic, complemented
853#3055C2×C1911yescharacteristic, complemented
854C2×#470C2×C1911yescharacteristic, complemented
855#2933C2×C1911yescharacteristic, complemented
856C22×C19—21no—
857C22×C19—21no—
858C22×C19—21no—
859C22×C19—21no—
860C22×C19—21no—
861C22×C19—21no—
862C22×C19—21no—
863C22×C19—21no—
864C22×C19—21no—
865C22×C19—21no—
866C22×C19—21no—
867C22×C19—21no—
868C22×C19—21no—
869C22×C19—21no—
870C22×C19—41no—
871C22×C19—41no—
872C22×C19—41no—
873C22×C19—41no—
874C22×C19—41no—
875C22×C19—41no—
876C22×C19—41no—
877C22×C19—41no—
878C22×C19—41no—
879C22×C19—82no—
880C22×C19—162no—
881C22×C19#57712yes—
882C22×C19C23×D411yescharacteristic
883C4×C19—21no—
884C4×C19—21no—
885C4×C19—21no—
886C4×C19—21no—
887C4×C19—21no—
888C4×C19—21no—
889C4×C19—21no—
890C4×C19—21no—
891C4×C19—21no—
892C4×C19—41no—
893C4×C19—41no—
894C4×C19—41no—
895C4×C19—41no—
896C4×C19—41no—
897C4×C19—41no—
898C4×C19—41no—
899C4×C19—41no—
900C4×C19—41no—
901C4×C19—41no—
902C4×C19—41no—
903C4×C19—41no—
904C4×C19—41no—
905C4×C19C2×H(5,𝔽2)11yescharacteristic
906C4×C19#58511yescharacteristic
907C2×#137C22×C1911yescharacteristic, complemented
908C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
909C2×#135C22×C1911yescharacteristic, complemented
910C22×Q16C22×C1911yescharacteristic, complemented
911C2×#131C22×C1911yescharacteristic, complemented
912C22×M16C22×C1911yescharacteristic
913#563—21no—
914#562—21no—
915#562—21no—
916#562—21no—
917#556C22×C1911yescharacteristic
918#554—21no—
919#554C22×C1911yescharacteristic
920#554C22×C1911yescharacteristic
921#554C22×C1911yescharacteristic, complemented
922#553—21no—
923#553C22×C1911yescharacteristic, complemented
924#552C22×C1911yescharacteristic
925D4×Q8C22×C1911yescharacteristic, complemented
926#548C22×C1911yescharacteristic
927#548C22×C1911yescharacteristic
928#548C22×C1911yescharacteristic
929#548C22×C1911yescharacteristic, complemented
930#547C22×C1911yescharacteristic
931#547C22×C1911yescharacteristic
932#547C22×C1911yescharacteristic
933#546—21no—
934#546—21no—
935#546C22×C1911yescharacteristic
936#546C22×C1911yescharacteristic
937#543—21no—
938#542—21no—
939#542C22×C1911yescharacteristic
940#542C22×C1911yescharacteristic
941#542C22×C1911yescharacteristic, complemented
942#541C22×C1911yescharacteristic, complemented
943#539—21no—
944#539—21no—
945#538—21no—
946#538—21no—
947#538—21no—
948#537—21no—
949#537C22×C1911yescharacteristic
950#537C22×C1911yescharacteristic
951#537C22×C1911yescharacteristic, complemented
952#536C22×C1911yescharacteristic, complemented
953#525C22×C1911yescharacteristic
954#525C22×C1911yescharacteristic
955C2×C22⋊Q8C22×C1911yescharacteristic
956C2×C22⋊Q8C22×C1911yescharacteristic
957C2×#121C22×C1911yescharacteristic
958#501C22×C1911yescharacteristic, complemented
959#498C22×C1911yescharacteristic, complemented
960#497C22×C1911yescharacteristic, complemented
961#495C22×C1911yescharacteristic, complemented
962#489C22×C1911yescharacteristic, complemented
963#489C22×C1911yescharacteristic, complemented
964#488C22×C1911yescharacteristic, complemented
965#487C22×C1911yescharacteristic, complemented
966#485C22×C1911yescharacteristic
967#485C22×C1911yescharacteristic
968#485C22×C1911yescharacteristic, complemented
969#484C22×C1911yescharacteristic, complemented
970#483C22×C1911yescharacteristic
971#483C22×C1911yescharacteristic
972#483C22×C1911yescharacteristic, complemented
973#483C22×C1911yescharacteristic, complemented
974#483C22×C1911yescharacteristic, complemented
975#483C22×C1911yescharacteristic, complemented
976#482C22×C1911yescharacteristic, complemented
977#481C22×C1911yescharacteristic
978#481C22×C1911yescharacteristic
979#481C22×C1911yescharacteristic, complemented
980#481C22×C1911yescharacteristic, complemented
981#480C22×C1911yescharacteristic, complemented
982#479C22×C1911yescharacteristic, complemented
983#478C22×C1911yescharacteristic, complemented
984#477C22×C1911yescharacteristic, complemented
985#476C22×C1911yescharacteristic, complemented
986#476C22×C1911yescharacteristic, complemented
987#475C22×C1911yescharacteristic, complemented
988#475C22×C1911yescharacteristic, complemented
989#475C22×C1911yescharacteristic, complemented
990#470C22×C1911yescharacteristic
991#470C22×C1911yescharacteristic
992#470C22×C1911yescharacteristic
993#470C22×C1911yescharacteristic
994#470C22×C1911yescharacteristic, complemented
995#470C22×C1911yescharacteristic, complemented
996#470C22×C1911yescharacteristic, complemented
997#470C22×C1911yescharacteristic, complemented
998#470C22×C1911yescharacteristic, complemented
999#470C22×C1911yescharacteristic, complemented
1000#469C22×C1911yescharacteristic
1001#469C22×C1911yescharacteristic
1002#469C22×C1911yescharacteristic, complemented
1003#468C22×C1911yescharacteristic
1004#468C22×C1911yescharacteristic
1005#468C22×C1911yescharacteristic, complemented
1006#467C22×C1911yescharacteristic, complemented
1007#467C22×C1911yescharacteristic, complemented
1008#467C22×C1911yescharacteristic, complemented
1009#466C22×C1911yescharacteristic
1010#466C22×C1911yescharacteristic
1011#465C22×C1911yescharacteristic
1012#465C22×C1911yescharacteristic
1013#465C22×C1911yescharacteristic
1014#465C22×C1911yescharacteristic
1015#465C22×C1911yescharacteristic
1016#465C22×C1911yescharacteristic
1017#465C22×C1911yescharacteristic, complemented
1018#465C22×C1911yescharacteristic, complemented
1019#465C22×C1911yescharacteristic, complemented
1020#465C22×C1911yescharacteristic, complemented
1021#465C22×C1911yescharacteristic, complemented
1022#464C22×C1911yescharacteristic, complemented
1023#464C22×C1911yescharacteristic, complemented
1024#464C22×C1911yescharacteristic, complemented
1025#464C22×C1911yescharacteristic, complemented
1026#463C22×C1911yescharacteristic, complemented
1027#463C22×C1911yescharacteristic, complemented
1028#462C22×C1911yescharacteristic, complemented
1029#461C22×C1911yescharacteristic, complemented
1030#452C22×C1911yescharacteristic
1031#452C22×C1911yescharacteristic
1032#452C22×C1911yescharacteristic, complemented
1033#452C22×C1911yescharacteristic, complemented
1034#452C22×C1911yescharacteristic, complemented
1035#452C22×C1911yescharacteristic, complemented
1036#451C22×C1911yescharacteristic, complemented
1037#451C22×C1911yescharacteristic, complemented
1038#450C22×C1911yescharacteristic
1039#450C22×C1911yescharacteristic
1040#449C22×C1911yescharacteristic, complemented
1041#449C22×C1911yescharacteristic, complemented
1042#448C22×C1911yescharacteristic
1043#448C22×C1911yescharacteristic
1044#448C22×C1911yescharacteristic, complemented
1045#448C22×C1911yescharacteristic, complemented
1046#442C22×C1911yescharacteristic, complemented
1047#441C22×C1911yescharacteristic, complemented
1048#441C22×C1911yescharacteristic, complemented
1049#440C22×C1911yescharacteristic, complemented
1050C4×Q16C22×C1911yescharacteristic, complemented
1051C4×SD16C22×C1911yescharacteristic, complemented
1052C4×SD16C22×C1911yescharacteristic, complemented
1053C4×SD16C22×C1911yescharacteristic, complemented
1054#436C22×C1911yescharacteristic
1055#436C22×C1911yescharacteristic
1056#435C22×C1911yescharacteristic
1057#435C22×C1911yescharacteristic
1058#435C22×C1911yescharacteristic, complemented
1059#435C22×C1911yescharacteristic, complemented
1060C8×D4C22×C1911yescharacteristic, complemented
1061C8×D4C22×C1911yescharacteristic, complemented
1062#428C22×C1911yescharacteristic
1063#428C22×C1911yescharacteristic, complemented
1064C2×#106C22×C1911yescharacteristic, complemented
1065C2×#106C22×C1911yescharacteristic, complemented
1066#424C22×C1911yescharacteristic, complemented
1067#418C22×C1911yescharacteristic
1068#417C22×C1911yescharacteristic
1069#417C22×C1911yescharacteristic, complemented
1070#417C22×C1911yescharacteristic, complemented
1071#416C22×C1911yescharacteristic, complemented
1072C2×#103C22×C1911yescharacteristic, complemented
1073C2×#103C22×C1911yescharacteristic, complemented
1074C2×#103C22×C1911yescharacteristic, complemented
1075#408C22×C1911yescharacteristic, complemented
1076C2×C22⋊C8C22×C1911yescharacteristic
1077#405C22×C1911yescharacteristic, complemented
1078C2×C19—22no—
1079C2×C19—41no—
1080C2×C19—41no—
1081C2×C19—41no—
1082C2×C19—41no—
1083C2×C19—81no—
1084C2×C19—81no—
1085C2×C19—81no—
1086C2×C19#349611yescharacteristic
1087C2×C19C2×#57711yescharacteristic
1088C2×C19#358611yescharacteristic
1089C2×#41—21no—
1090C2×#41—21no—
1091C2×#41C23×C1911yescharacteristic
1092C2×#41C23×C1911yescharacteristic
1093C2×#41C23×C1911yescharacteristic
1094C2×#41C23×C1911yescharacteristic
1095C2×#41C23×C1911yescharacteristic
1096C22×Q8C23×C1911yescharacteristic
1097C22×Q8C23×C1911yescharacteristic
1098C22×Q8C23×C1911yescharacteristic
1099C22×D4—21no—
1100C22×D4C23×C1911yescharacteristic
1101C23×C4C23×C1911yescharacteristic
1102#137—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C1911yescharacteristic
1107C2×Q16C23×C1911yescharacteristic
1108C2×Q16C23×C1911yescharacteristic
1109C2×Q16C23×C1911yescharacteristic
1110C2×Q16C23×C1911yescharacteristic
1111C2×Q16C23×C1911yescharacteristic
1112C2×SD16C23×C1911yescharacteristic
1113C2×SD16C23×C1911yescharacteristic
1114C2×SD16C23×C1911yescharacteristic
1115C2×SD16C23×C1911yescharacteristic
1116C2×SD16C23×C1911yescharacteristic
1117C2×SD16C23×C1911yescharacteristic
1118C2×SD16C23×C1911yescharacteristic
1119C2×SD16C23×C1911yescharacteristic
1120C2×D8C23×C1911yescharacteristic
1121C2×D8C23×C1911yescharacteristic
1122#131—42no—
1123C2×M16—42no—
1124C2×M16C23×C1911yescharacteristic
1125C2×M16C23×C1911yescharacteristic
1126C2×M16C23×C1911yescharacteristic
1127C2×M16C23×C1911yescharacteristic
1128C2×M16C23×C1911yescharacteristic
1129C2×M16C23×C1911yescharacteristic
1130C22×C8C23×C1911yescharacteristic
1131C22×C8C23×C1911yescharacteristic
1132C22×C8C23×C1911yescharacteristic
1133C22×C8C23×C1911yescharacteristic
1134C22×C8C23×C1911yescharacteristic
1135C22×C8C23×C1911yescharacteristic
1136C4⋊Q8—21no—
1137C4⋊Q8—21no—
1138C4⋊Q8C23×C1911yescharacteristic
1139C4⋊Q8C23×C1911yescharacteristic
1140C4⋊Q8C23×C1911yescharacteristic
1141C4⋊Q8C23×C1911yescharacteristic
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#125—21no—
1152#125—21no—
1153#125—21no—
1154#125—21no—
1155#125—21no—
1156#125—21no—
1157#125C23×C1911yescharacteristic
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124C23×C1911yescharacteristic
1168#124C23×C1911yescharacteristic
1169#124C23×C1911yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123D4×C1911yescharacteristic
1187#123D4×C1911yescharacteristic
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8D4×C1911yescharacteristic
1213C22⋊Q8D4×C1911yescharacteristic
1214C22⋊Q8C23×C1911yescharacteristic
1215C22⋊Q8C23×C1911yescharacteristic
1216C22⋊Q8C23×C1911yescharacteristic
1217C22⋊Q8C23×C1911yescharacteristic
1218C22⋊Q8C23×C1911yescharacteristic
1219C22⋊Q8C23×C1911yescharacteristic
1220C22⋊Q8C23×C1911yescharacteristic
1221C22⋊Q8C23×C1911yescharacteristic
1222C22⋊Q8C23×C1911yescharacteristic
1223C22⋊Q8C23×C1911yescharacteristic
1224C22⋊Q8C23×C1911yescharacteristic
1225C22⋊Q8C23×C1911yescharacteristic
1226C22⋊Q8C23×C1911yescharacteristic
1227C22⋊Q8C23×C1911yescharacteristic
1228C22⋊Q8C23×C1911yescharacteristic
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121D4×C1911yescharacteristic
1249#121D4×C1911yescharacteristic
1250#121C23×C1911yescharacteristic
1251#121C23×C1911yescharacteristic
1252#121C23×C1911yescharacteristic
1253#121C23×C1911yescharacteristic
1254#121C23×C1911yescharacteristic
1255#121C23×C1911yescharacteristic
1256#121C23×C1911yescharacteristic
1257#121C23×C1911yescharacteristic
1258#121C23×C1911yescharacteristic
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120D4×C1911yescharacteristic
1263#120D4×C1911yescharacteristic
1264C4×Q8—21no—
1265C4×Q8C23×C1911yescharacteristic
1266C4×Q8C23×C1911yescharacteristic
1267C4×Q8C23×C1911yescharacteristic
1268C4×Q8C23×C1911yescharacteristic
1269C4×Q8C23×C1911yescharacteristic
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4C23×C1911yescharacteristic
1282C4×D4C23×C1911yescharacteristic
1283C4×D4C23×C1911yescharacteristic
1284C4×D4C23×C1911yescharacteristic
1285C4×D4C23×C1911yescharacteristic
1286C4×D4C23×C1911yescharacteristic
1287C4×D4C23×C1911yescharacteristic
1288#117—21no—
1289#117C23×C1911yescharacteristic
1290#117C23×C1911yescharacteristic
1291#117C23×C1911yescharacteristic
1292C2×C4⋊C4—21no—
1293C2×C4⋊C4—21no—
1294C2×C4⋊C4—21no—
1295C2×C4⋊C4C23×C1911yescharacteristic
1296C2×C4⋊C4C23×C1911yescharacteristic
1297C2×C4⋊C4C23×C1911yescharacteristic
1298C2×C4⋊C4C23×C1911yescharacteristic
1299C2×C4⋊C4C23×C1911yescharacteristic
1300C2×C4⋊C4C23×C1911yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306#107C23×C1911yescharacteristic
1307#107C23×C1911yescharacteristic
1308#107C23×C1911yescharacteristic
1309#107C23×C1911yescharacteristic
1310#106C23×C1911yescharacteristic
1311#106C23×C1911yescharacteristic
1312#106C23×C1911yescharacteristic
1313#106C23×C1911yescharacteristic
1314#106C23×C1911yescharacteristic
1315#106C23×C1911yescharacteristic
1316#106C23×C1911yescharacteristic
1317#106C23×C1911yescharacteristic
1318#106C23×C1911yescharacteristic
1319#106C23×C1911yescharacteristic
1320#106C23×C1911yescharacteristic
1321#106C23×C1911yescharacteristic
1322C4⋊C8C23×C1911yescharacteristic
1323C4⋊C8C23×C1911yescharacteristic
1324C4⋊C8C23×C1911yescharacteristic
1325C4⋊C8C23×C1911yescharacteristic
1326#103C23×C1911yescharacteristic
1327#103C23×C1911yescharacteristic
1328#103C23×C1911yescharacteristic
1329#103C23×C1911yescharacteristic
1330#103C23×C1911yescharacteristic
1331#103C23×C1911yescharacteristic
1332#103C23×C1911yescharacteristic
1333#103C23×C1911yescharacteristic
1334#103C23×C1911yescharacteristic
1335#103C23×C1911yescharacteristic
1336#103C23×C1911yescharacteristic
1337#103C23×C1911yescharacteristic
1338#103C23×C1911yescharacteristic
1339#103C23×C1911yescharacteristic
1340#103C23×C1911yescharacteristic
1341#103C23×C1911yescharacteristic
1342#103C23×C1911yescharacteristic
1343#103C23×C1911yescharacteristic
1344#103C23×C1911yescharacteristic
1345#103C23×C1911yescharacteristic
1346#102C23×C1911yescharacteristic
1347#102C23×C1911yescharacteristic
1348#102C23×C1911yescharacteristic
1349#102C23×C1911yescharacteristic
1350#102C23×C1911yescharacteristic
1351#102C23×C1911yescharacteristic
1352#102C23×C1911yescharacteristic
1353#102C23×C1911yescharacteristic
1354#102C23×C1911yescharacteristic
1355#102C23×C1911yescharacteristic
1356#102C23×C1911yescharacteristic
1357#102C23×C1911yescharacteristic
1358C22⋊C8C23×C1911yescharacteristic
1359C22⋊C8C23×C1911yescharacteristic
1360C22⋊C8C23×C1911yescharacteristic
1361C22⋊C8C23×C1911yescharacteristic
1362C22⋊C8C23×C1911yescharacteristic
1363C22⋊C8C23×C1911yescharacteristic
1364C22⋊C8C23×C1911yescharacteristic
1365C22⋊C8C23×C1911yescharacteristic
1366#97C23×C1911yescharacteristic
1367#97C23×C1911yescharacteristic
1368C4×C8C23×C1911yescharacteristic
1369C4×C8C23×C1911yescharacteristic
1370C19#6232111yescharacteristic, direct product factor, Sylow
1371C24—21no—
1372C24C2×D4×C1911yescharacteristic
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—82no—
1384#41—82no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—21no—
1390C2×Q8—21no—
1391C2×Q8—41no—
1392C2×Q8—41no—
1393C2×Q8—41no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8C2×D4×C1911yescharacteristic
1398C2×Q8C24×C1911yescharacteristic
1399C2×Q8C24×C1911yescharacteristic
1400C2×Q8C24×C1911yescharacteristic
1401C2×Q8C24×C1911yescharacteristic
1402C2×Q8C24×C1911yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—82no—
1420C2×D4C2×D4×C1911yescharacteristic
1421C2×D4C2×D4×C1911yescharacteristic
1422C2×D4C2×D4×C1911yescharacteristic
1423C2×D4C2×D4×C1911yescharacteristic
1424C2×D4C2×D4×C1911yescharacteristic
1425C2×D4C2×D4×C1911yescharacteristic
1426C2×D4C2×D4×C1911yescharacteristic
1427C2×D4C24×C1911yescharacteristic
1428C2×D4C24×C1911yescharacteristic
1429C2×D4C24×C1911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4C2×D4×C1911yescharacteristic
1449C22×C4C2×D4×C1911yescharacteristic
1450C22×C4C2×D4×C1911yescharacteristic
1451C22×C4C24×C1911yescharacteristic
1452C22×C4C24×C1911yescharacteristic
1453C22×C4C24×C1911yescharacteristic
1454C22×C4C24×C1911yescharacteristic
1455C22×C4C24×C1911yescharacteristic
1456Q16—22no—
1457Q16—22no—
1458Q16—41no—
1459Q16—41no—
1460Q16—41no—
1461Q16—41no—
1462SD16—22no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—22no—
1471D8—41no—
1472M16—22no—
1473M16—22no—
1474M16—22no—
1475M16—41no—
1476M16—41no—
1477M16—41no—
1478C2×C8—22no—
1479C2×C8—22no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8—41no—
1483C2×C8—41no—
1484C2×C8C24×C1911yescharacteristic
1485C2×C8C24×C1911yescharacteristic
1486C2×C8C24×C1911yescharacteristic
1487C2×C8C24×C1911yescharacteristic
1488C2×C8C24×C1911yescharacteristic
1489C2×C8C24×C1911yescharacteristic
1490C2×C8C24×C1911yescharacteristic
1491C2×C8C24×C1911yescharacteristic
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4C2×D4×C1911yescharacteristic
1526C4⋊C4C2×D4×C1911yescharacteristic
1527C4⋊C4C2×D4×C1911yescharacteristic
1528C4⋊C4C2×D4×C1911yescharacteristic
1529C4⋊C4C2×D4×C1911yescharacteristic
1530C4⋊C4C2×D4×C1911yescharacteristic
1531C4⋊C4C24×C1911yescharacteristic
1532C4⋊C4C24×C1911yescharacteristic
1533C4⋊C4C24×C1911yescharacteristic
1534C4⋊C4C24×C1911yescharacteristic
1535C4⋊C4C24×C1911yescharacteristic
1536C4⋊C4C24×C1911yescharacteristic
1537C4⋊C4C24×C1911yescharacteristic
1538C4⋊C4C24×C1911yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4C2×D4×C1911yescharacteristic
1575C22⋊C4C2×D4×C1911yescharacteristic
1576C22⋊C4C2×D4×C1911yescharacteristic
1577C22⋊C4C2×D4×C1911yescharacteristic
1578C22⋊C4C2×D4×C1911yescharacteristic
1579C22⋊C4C2×D4×C1911yescharacteristic
1580C22⋊C4C2×D4×C1911yescharacteristic
1581C22⋊C4C2×D4×C1911yescharacteristic
1582C22⋊C4C2×D4×C1911yescharacteristic
1583C22⋊C4C2×D4×C1911yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—21no—
1591C42C24×C1911yescharacteristic
1592C42C24×C1911yescharacteristic
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—41no—
1598C23—41no—
1599C23—42no—
1600C23—81no—
1601C23—81no—
1602C23C22×D4×C1911yescharacteristic
1603C23C22×D4×C1911yescharacteristic
1604C23C22×D4×C1911yescharacteristic
1605C23C22×D4×C1911yescharacteristic
1606C23C22×D4×C1911yescharacteristic
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—41no—
1618Q8—81no—
1619Q8—81no—
1620Q8—81no—
1621Q8—81no—
1622Q8—81no—
1623Q8—81no—
1624D4—22no—
1625D4—22no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—41no—
1634D4—41no—
1635D4—41no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4C22×D4×C1911yescharacteristic
1694C2×C4C22×D4×C1911yescharacteristic
1695C2×C4C22×D4×C1911yescharacteristic
1696C2×C4C22×D4×C1911yescharacteristic
1697C2×C4C22×D4×C1911yescharacteristic
1698C2×C4C22×D4×C1911yescharacteristic
1699C2×C4C22×D4×C1911yescharacteristic
1700C2×C4C22×D4×C1911yescharacteristic
1701C2×C4C22×D4×C1911yescharacteristic
1702C2×C4C25×C1911yescharacteristic
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C8—21no—
1710C8C19×H(5,𝔽2)12yes—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—82no—
1735C22—162no—
1736C22C19×#57712yes—
1737C22C23×D4×C1911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4C2×C19×H(5,𝔽2)11yescharacteristic
1761C4C19×#58511yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—41no—
1765C2—41no—
1766C2—41no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2C19×#349611yescharacteristic
1771C2C2×C19×#57711yescharacteristic
1772C2C19×#358611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C19×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3541C2semidirect
2. C19×#3536C2semidirect
3. C19×#3356C2semidirect
4. C19×#3345C2semidirect
5. C19×#3344C2semidirect
6. C19×#3335C2semidirect
7. C19×#3331C2semidirect
8. C19×#3323C2semidirect
9. C19×#3316C2semidirect
10. C19×#3316C2semidirect
11. C19×#3311C2semidirect
12. C19×#3308C2semidirect
13. C19×#3301C2semidirect
14. C19×#3298C2semidirect
15. C19×#3285C2semidirect
16. C19×#3275C2semidirect
17. C19×#3270C2semidirect
18. C19×#3267C2semidirect
19. C19×#3263C2semidirect
20. C19×#3258C2semidirect
21. C19×#3204C2semidirect
22. C19×#3201C2semidirect
23. C19×#3190C2semidirect
24. C19×#3187C2semidirect
25. C19×#3178C2semidirect
26. C19×#3173C2semidirect
27. C19×#3063C2semidirect
28. C19×#3060C2semidirect
29. C19×#3055C2semidirect
30. C2×C19×#470C2semidirect
31. C19×#2933C2semidirect
32. C2×C19×#137C22semidirect
34. C2×C19×#135C22semidirect
35. C22×Q16×C19C22semidirect
36. C2×C19×#131C22semidirect
46. C19×#554C22semidirect
48. C19×#553C22semidirect
50. D4×Q8×C19C22semidirect
54. C19×#548C22semidirect
66. C19×#542C22semidirect
67. C19×#541C22semidirect
76. C19×#537C22semidirect
77. C19×#536C22semidirect
83. C19×#501C22semidirect
84. C19×#498C22semidirect
85. C19×#497C22semidirect
86. C19×#495C22semidirect
87. C19×#489C22semidirect
88. C19×#489C22semidirect
89. C19×#488C22semidirect
90. C19×#487C22semidirect
93. C19×#485C22semidirect
94. C19×#484C22semidirect
97. C19×#483C22semidirect
98. C19×#483C22semidirect
99. C19×#483C22semidirect
100. C19×#483C22semidirect
101. C19×#482C22semidirect
104. C19×#481C22semidirect
105. C19×#481C22semidirect
106. C19×#480C22semidirect
107. C19×#479C22semidirect
108. C19×#478C22semidirect
109. C19×#477C22semidirect
110. C19×#476C22semidirect
111. C19×#476C22semidirect
112. C19×#475C22semidirect
113. C19×#475C22semidirect
114. C19×#475C22semidirect
119. C19×#470C22semidirect
120. C19×#470C22semidirect
121. C19×#470C22semidirect
122. C19×#470C22semidirect
123. C19×#470C22semidirect
124. C19×#470C22semidirect
127. C19×#469C22semidirect
130. C19×#468C22semidirect
131. C19×#467C22semidirect
132. C19×#467C22semidirect
133. C19×#467C22semidirect
142. C19×#465C22semidirect
143. C19×#465C22semidirect
144. C19×#465C22semidirect
145. C19×#465C22semidirect
146. C19×#465C22semidirect
147. C19×#464C22semidirect
148. C19×#464C22semidirect
149. C19×#464C22semidirect
150. C19×#464C22semidirect
151. C19×#463C22semidirect
152. C19×#463C22semidirect
153. C19×#462C22semidirect
154. C19×#461C22semidirect
157. C19×#452C22semidirect
158. C19×#452C22semidirect
159. C19×#452C22semidirect
160. C19×#452C22semidirect
161. C19×#451C22semidirect
162. C19×#451C22semidirect
165. C19×#449C22semidirect
166. C19×#449C22semidirect
169. C19×#448C22semidirect
170. C19×#448C22semidirect
171. C19×#442C22semidirect
172. C19×#441C22semidirect
173. C19×#441C22semidirect
174. C19×#440C22semidirect
175. C4×Q16×C19C22semidirect
176. C4×SD16×C19C22semidirect
177. C4×SD16×C19C22semidirect
178. C4×SD16×C19C22semidirect
183. C19×#435C22semidirect
184. C19×#435C22semidirect
185. C8×D4×C19C22semidirect
186. C8×D4×C19C22semidirect
188. C19×#428C22semidirect
189. C2×C19×#106C22semidirect
190. C2×C19×#106C22semidirect
191. C19×#424C22semidirect
194. C19×#417C22semidirect
195. C19×#417C22semidirect
196. C19×#416C22semidirect
197. C2×C19×#103C22semidirect
198. C2×C19×#103C22semidirect
199. C2×C19×#103C22semidirect
200. C19×#408C22semidirect
202. C19×#405C22semidirect
706. #62321C19direct (N × H)
825. #3541C2×C19semidirect
826. #3536C2×C19semidirect
827. #3356C2×C19semidirect
828. #3345C2×C19semidirect
829. #3344C2×C19semidirect
830. #3335C2×C19semidirect
831. #3331C2×C19semidirect
832. #3323C2×C19semidirect
833. #3316C2×C19semidirect
834. #3316C2×C19semidirect
835. #3311C2×C19semidirect
836. #3308C2×C19semidirect
837. #3301C2×C19semidirect
838. #3298C2×C19semidirect
839. #3285C2×C19semidirect
840. #3275C2×C19semidirect
841. #3270C2×C19semidirect
842. #3267C2×C19semidirect
843. #3263C2×C19semidirect
844. #3258C2×C19semidirect
845. #3204C2×C19semidirect
846. #3201C2×C19semidirect
847. #3190C2×C19semidirect
848. #3187C2×C19semidirect
849. #3178C2×C19semidirect
850. #3173C2×C19semidirect
851. #3063C2×C19semidirect
852. #3060C2×C19semidirect
853. #3055C2×C19semidirect
854. C2×#470C2×C19semidirect
855. #2933C2×C19semidirect
907. C2×#137C22×C19semidirect
909. C2×#135C22×C19semidirect
910. C22×Q16C22×C19semidirect
911. C2×#131C22×C19semidirect
921. #554C22×C19semidirect
923. #553C22×C19semidirect
925. D4×Q8C22×C19semidirect
929. #548C22×C19semidirect
941. #542C22×C19semidirect
942. #541C22×C19semidirect
951. #537C22×C19semidirect
952. #536C22×C19semidirect
958. #501C22×C19semidirect
959. #498C22×C19semidirect
960. #497C22×C19semidirect
961. #495C22×C19semidirect
962. #489C22×C19semidirect
963. #489C22×C19semidirect
964. #488C22×C19semidirect
965. #487C22×C19semidirect
968. #485C22×C19semidirect
969. #484C22×C19semidirect
972. #483C22×C19semidirect
973. #483C22×C19semidirect
974. #483C22×C19semidirect
975. #483C22×C19semidirect
976. #482C22×C19semidirect
979. #481C22×C19semidirect
980. #481C22×C19semidirect
981. #480C22×C19semidirect
982. #479C22×C19semidirect
983. #478C22×C19semidirect
984. #477C22×C19semidirect
985. #476C22×C19semidirect
986. #476C22×C19semidirect
987. #475C22×C19semidirect
988. #475C22×C19semidirect
989. #475C22×C19semidirect
994. #470C22×C19semidirect
995. #470C22×C19semidirect
996. #470C22×C19semidirect
997. #470C22×C19semidirect
998. #470C22×C19semidirect
999. #470C22×C19semidirect
1002. #469C22×C19semidirect
1005. #468C22×C19semidirect
1006. #467C22×C19semidirect
1007. #467C22×C19semidirect
1008. #467C22×C19semidirect
1017. #465C22×C19semidirect
1018. #465C22×C19semidirect
1019. #465C22×C19semidirect
1020. #465C22×C19semidirect
1021. #465C22×C19semidirect
1022. #464C22×C19semidirect
1023. #464C22×C19semidirect
1024. #464C22×C19semidirect
1025. #464C22×C19semidirect
1026. #463C22×C19semidirect
1027. #463C22×C19semidirect
1028. #462C22×C19semidirect
1029. #461C22×C19semidirect
1032. #452C22×C19semidirect
1033. #452C22×C19semidirect
1034. #452C22×C19semidirect
1035. #452C22×C19semidirect
1036. #451C22×C19semidirect
1037. #451C22×C19semidirect
1040. #449C22×C19semidirect
1041. #449C22×C19semidirect
1044. #448C22×C19semidirect
1045. #448C22×C19semidirect
1046. #442C22×C19semidirect
1047. #441C22×C19semidirect
1048. #441C22×C19semidirect
1049. #440C22×C19semidirect
1050. C4×Q16C22×C19semidirect
1051. C4×SD16C22×C19semidirect
1052. C4×SD16C22×C19semidirect
1053. C4×SD16C22×C19semidirect
1058. #435C22×C19semidirect
1059. #435C22×C19semidirect
1060. C8×D4C22×C19semidirect
1061. C8×D4C22×C19semidirect
1063. #428C22×C19semidirect
1064. C2×#106C22×C19semidirect
1065. C2×#106C22×C19semidirect
1066. #424C22×C19semidirect
1069. #417C22×C19semidirect
1070. #417C22×C19semidirect
1071. #416C22×C19semidirect
1072. C2×#103C22×C19semidirect
1073. C2×#103C22×C19semidirect
1074. C2×#103C22×C19semidirect
1075. #408C22×C19semidirect
1077. #405C22×C19semidirect
1370. C19#62321direct (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×#35362
C19×#33562
C19×#33452
C19×#33442
C19×#33352
C19×#33312
C19×#33232
C19×#33162
C19×#33112
C19×#33082
C19×#33012
C19×#32982
C19×#32852
C19×#32752
C19×#32702
C19×#32672
C19×#32632
C19×#32582
C19×#32042
C19×#32012
C19×#31902
C19×#31872
C19×#31782
C19×#31732
C19×#30632
C19×#30602
C19×#30552
C2×C19×#4702
C19×#29332
#6232119