Finite Group Databasebeta

← C19×#61626 #18067585

Subgroups — C19×#61626 #18067585

Order 4864.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3539C211yesmaximal, characteristic, complemented
2C19×#3489C211yesmaximal, characteristic, complemented
3C19×#3323C211yesmaximal, characteristic, complemented
4C19×#3322C211yesmaximal, characteristic, complemented
5C19×#3320C211yesmaximal, characteristic, complemented
6C19×#3315C211yesmaximal, characteristic, complemented
7C19×#3312C211yesmaximal, characteristic, complemented
8C19×#3307C211yesmaximal, characteristic, complemented
9C19×#3301C211yesmaximal, characteristic, complemented
10C19×#3300C211yesmaximal, characteristic, complemented
11C19×#3284C211yesmaximal, characteristic, complemented
12C19×#3283C211yesmaximal, characteristic, complemented
13C19×#3278C211yesmaximal, characteristic, complemented
14C19×#3276C211yesmaximal, characteristic, complemented
15C19×#3271C211yesmaximal, characteristic, complemented
16C19×#3269C211yesmaximal, characteristic, complemented
17C19×#3268C211yesmaximal, characteristic, complemented
18C19×#3267C211yesmaximal, characteristic, complemented
19C19×#3223C211yesmaximal, characteristic, complemented
20C19×#3221C211yesmaximal, characteristic, complemented
21C19×#3204C211yesmaximal, characteristic, complemented
22C19×#3203C211yesmaximal, characteristic, complemented
23C19×#3196C211yesmaximal, characteristic, complemented
24C19×#3190C211yesmaximal, characteristic, complemented
25C19×#3120C211yesmaximal, characteristic, complemented
26C19×#3119C211yesmaximal, characteristic, complemented
27C19×#3013C211yesmaximal, characteristic, complemented
28C19×#3013C211yesmaximal, characteristic, complemented
29C19×#3005C211yesmaximal, characteristic, complemented
30C19×#3002C211yesmaximal, characteristic, complemented
31C19×#2976C211yesmaximal, characteristic, complemented
32C2×C19×2−1+4C2211yescharacteristic
33C22×#41×C19C2211yescharacteristic
34C2×C19×#137C2211yescharacteristic
35C2×C19×#137C2211yescharacteristic, complemented
36C2×C19×#137C2211yescharacteristic, complemented
37C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
38C2×C19×#135C2211yescharacteristic
39C2×C19×#135C2211yescharacteristic
40C2×C19×#135C2211yescharacteristic, complemented
41C2×C19×#135C2211yescharacteristic, complemented
42C19×#560—21no—
43C19×#560—21no—
44C19×#553—21no—
45C19×#553—21no—
46C19×#553C2211yescharacteristic
47C19×#553C2211yescharacteristic, complemented
48C19×#552C2211yescharacteristic
49C19×#552C2211yescharacteristic, complemented
50C19×#550C2211yescharacteristic
51C19×#550C2211yescharacteristic, complemented
52D4×Q8×C19C2211yescharacteristic
53D4×Q8×C19C2211yescharacteristic
54C19×#548C2211yescharacteristic
55C19×#548C2211yescharacteristic
56C19×#547—21no—
57C19×#547—21no—
58C19×#547C2211yescharacteristic
59C19×#547C2211yescharacteristic
60C19×#547C2211yescharacteristic
61C19×#547C2211yescharacteristic, complemented
62C19×#546—21no—
63C19×#546—21no—
64C19×#546C2211yescharacteristic
65C19×#546C2211yescharacteristic
66C19×#541C2211yescharacteristic, complemented
67C19×#540—21no—
68C19×#540—21no—
69C19×#540C2211yescharacteristic, complemented
70C19×#539—21no—
71C19×#539—21no—
72C19×#537—21no—
73C19×#537C2211yescharacteristic
74C19×#537C2211yescharacteristic, complemented
75C19×#537C2211yescharacteristic, complemented
76C19×#536—21no—
77C19×#536C2211yescharacteristic
78C19×#525—21no—
79C19×#525C2211yescharacteristic
80C19×#525C2211yescharacteristic
81C19×#525C2211yescharacteristic
82C2×C19×C22⋊Q8—21no—
83C2×C19×C22⋊Q8C2211yescharacteristic
84C19×#520C2211yescharacteristic
85C19×#497C2211yescharacteristic, complemented
86C19×#496C2211yescharacteristic, complemented
87C19×#494C2211yescharacteristic, complemented
88C19×#492C2211yescharacteristic, complemented
89C19×#491C2211yescharacteristic, complemented
90C19×#491C2211yescharacteristic, complemented
91C19×#488C2211yescharacteristic, complemented
92C19×#488C2211yescharacteristic, complemented
93C19×#485C2211yescharacteristic
94C19×#485C2211yescharacteristic
95C19×#485C2211yescharacteristic, complemented
96C19×#485C2211yescharacteristic, complemented
97C19×#484C2211yescharacteristic, complemented
98C19×#484C2211yescharacteristic, complemented
99C19×#483C2211yescharacteristic, complemented
100C19×#483C2211yescharacteristic, complemented
101C19×#481C2211yescharacteristic, complemented
102C19×#481C2211yescharacteristic, complemented
103C19×#480C2211yescharacteristic, complemented
104C19×#480C2211yescharacteristic, complemented
105C19×#479C2211yescharacteristic, complemented
106C19×#479C2211yescharacteristic, complemented
107C19×#478C2211yescharacteristic, complemented
108C19×#478C2211yescharacteristic, complemented
109C19×#470C2211yescharacteristic
110C19×#470C2211yescharacteristic
111C19×#470C2211yescharacteristic, complemented
112C19×#469C2211yescharacteristic, complemented
113C19×#468C2211yescharacteristic
114C19×#468C2211yescharacteristic
115C19×#468C2211yescharacteristic, complemented
116C19×#468C2211yescharacteristic, complemented
117C19×#467C2211yescharacteristic, complemented
118C19×#467C2211yescharacteristic, complemented
119C19×#467C2211yescharacteristic, complemented
120C19×#466C2211yescharacteristic, complemented
121C19×#465C2211yescharacteristic, complemented
122C19×#465C2211yescharacteristic, complemented
123C19×#465C2211yescharacteristic, complemented
124C19×#465C2211yescharacteristic, complemented
125C19×#464C2211yescharacteristic, complemented
126C19×#464C2211yescharacteristic, complemented
127C19×#463C2211yescharacteristic, complemented
128C19×#463C2211yescharacteristic, complemented
129C19×#462C2211yescharacteristic, complemented
130C19×#462C2211yescharacteristic, complemented
131C19×#462C2211yescharacteristic, complemented
132C19×#461C2211yescharacteristic, complemented
133C19×#461C2211yescharacteristic, complemented
134C19×#461C2211yescharacteristic, complemented
135C19×#460C2211yescharacteristic, complemented
136C19×#459C2211yescharacteristic, complemented
137C19×#452C2211yescharacteristic
138C19×#452C2211yescharacteristic
139C19×#452C2211yescharacteristic
140C19×#452C2211yescharacteristic
141C19×#452C2211yescharacteristic
142C19×#452C2211yescharacteristic
143C19×#452C2211yescharacteristic
144C19×#452C2211yescharacteristic
145C19×#452C2211yescharacteristic, complemented
146C19×#452C2211yescharacteristic, complemented
147C19×#452C2211yescharacteristic, complemented
148C19×#452C2211yescharacteristic, complemented
149C19×#452C2211yescharacteristic, complemented
150C19×#452C2211yescharacteristic, complemented
151C19×#451C2211yescharacteristic
152C19×#451C2211yescharacteristic, complemented
153C19×#451C2211yescharacteristic, complemented
154C19×#451C2211yescharacteristic, complemented
155C19×#451C2211yescharacteristic, complemented
156C19×#450C2211yescharacteristic
157C19×#449C2211yescharacteristic
158C19×#449C2211yescharacteristic
159C19×#449C2211yescharacteristic
160C19×#449C2211yescharacteristic
161C19×#449C2211yescharacteristic
162C19×#449C2211yescharacteristic
163C19×#449C2211yescharacteristic, complemented
164C19×#449C2211yescharacteristic, complemented
165C19×#449C2211yescharacteristic, complemented
166C19×#449C2211yescharacteristic, complemented
167C19×#448C2211yescharacteristic
168C19×#448C2211yescharacteristic, complemented
169C19×#448C2211yescharacteristic, complemented
170C19×#448C2211yescharacteristic, complemented
171C19×#448C2211yescharacteristic, complemented
172C19×#447C2211yescharacteristic
173C19×#442C2211yescharacteristic, complemented
174C19×#441C2211yescharacteristic, complemented
175C19×#440C2211yescharacteristic, complemented
176C19×#440C2211yescharacteristic, complemented
177C4×Q16×C19C2211yescharacteristic, complemented
178C4×SD16×C19C2211yescharacteristic, complemented
179C4×SD16×C19C2211yescharacteristic, complemented
180C4×D8×C19C2211yescharacteristic, complemented
181C19×#436C2211yescharacteristic
182C19×#436C2211yescharacteristic
183C19×#435C2211yescharacteristic
184C19×#435C2211yescharacteristic
185C19×#435C2211yescharacteristic, complemented
186C19×#435C2211yescharacteristic, complemented
187C8×D4×C19C2211yescharacteristic, complemented
188C8×D4×C19C2211yescharacteristic, complemented
189C19×#433C2211yescharacteristic, complemented
190C19×#433C2211yescharacteristic, complemented
191C19×#419C2211yescharacteristic
192C19×#418C2211yescharacteristic
193C19×#417C2211yescharacteristic, complemented
194C19×#417C2211yescharacteristic, complemented
195C19×#416C2211yescharacteristic
196C19×#416C2211yescharacteristic
197C2×C19×#103C2211yescharacteristic, complemented
198C2×C19×#103C2211yescharacteristic, complemented
199C19×#408C2211yescharacteristic, complemented
200C19×#408C2211yescharacteristic, complemented
201C19×#407C2211yescharacteristic
202C2×C19×C22⋊C8C2211yescharacteristic
203C19×2−1+4—42no—
204C19×2−1+4—42no—
205C2×#41×C19—21no—
206C2×#41×C19—21no—
207C2×#41×C19—21no—
208C2×#41×C19—21no—
209C2×#41×C19—21no—
210C2×#41×C19—42no—
211C2×#41×C19—42no—
212C2×#41×C19C2311yescharacteristic
213C2×#41×C19C2311yescharacteristic
214C2×#41×C19C2311yescharacteristic
215C2×#41×C19C2311yescharacteristic
216C2×#41×C19C2311yescharacteristic
217C2×#41×C19C2311yescharacteristic
218C2×#41×C19C2311yescharacteristic
219C2×#41×C19C2311yescharacteristic
220C2×#41×C19C2311yescharacteristic
221C2×#41×C19C2311yescharacteristic
222C2×#41×C19C2311yescharacteristic
223C22×Q8×C19—21no—
224C22×Q8×C19C2311yescharacteristic
225C22×Q8×C19C2311yescharacteristic
226C22×Q8×C19C2311yescharacteristic
227C22×Q8×C19C2311yescharacteristic
228C22×D4×C19—21no—
229C22×D4×C19C2311yescharacteristic
230C23×C4×C19—21no—
231C23×C4×C19C2311yescharacteristic
232C19×#137—42no—
233C19×#137—42no—
234C19×#137—42no—
235C19×AGL(1,ℤ/8)—42no—
236C19×#135—42no—
237C19×#135—42no—
238C19×#135—42no—
239C19×#135—42no—
240C2×Q16×C19C2311yescharacteristic
241C2×Q16×C19C2311yescharacteristic
242C2×Q16×C19C2311yescharacteristic
243C2×Q16×C19C2311yescharacteristic
244C2×Q16×C19C2311yescharacteristic
245C2×Q16×C19C2311yescharacteristic
246C2×Q16×C19C2311yescharacteristic
247C2×Q16×C19C2311yescharacteristic
248C2×SD16×C19C2311yescharacteristic
249C2×SD16×C19C2311yescharacteristic
250C2×SD16×C19C2311yescharacteristic
251C2×SD16×C19C2311yescharacteristic
252C2×SD16×C19C2311yescharacteristic
253C2×SD16×C19C2311yescharacteristic
254C2×SD16×C19C2311yescharacteristic
255C2×SD16×C19C2311yescharacteristic
256C2×SD16×C19C2311yescharacteristic
257C2×SD16×C19C2311yescharacteristic
258C2×SD16×C19C2311yescharacteristic
259C2×SD16×C19C2311yescharacteristic
260C2×D8×C19C2311yescharacteristic
261C2×D8×C19C2311yescharacteristic
262C2×D8×C19C2311yescharacteristic
263C2×D8×C19C2311yescharacteristic
264C2×M16×C19C2311yescharacteristic
265C2×M16×C19C2311yescharacteristic
266C2×M16×C19C2311yescharacteristic
267C2×M16×C19C2311yescharacteristic
268C22×C8×C19C2311yescharacteristic
269C22×C8×C19C2311yescharacteristic
270C22×C8×C19C2311yescharacteristic
271C22×C8×C19C2311yescharacteristic
272C19×C4⋊Q8—21no—
273C19×C4⋊Q8—21no—
274C19×C4⋊Q8C2311yescharacteristic
275C19×C4⋊Q8C2311yescharacteristic
276C19×C4⋊Q8C2311yescharacteristic
277C19×#127—21no—
278C19×#127—21no—
279C19×#127C2311yescharacteristic
280C19×#126—21no—
281C19×#126—21no—
282C19×#126—21no—
283C19×#126—21no—
284C19×#126—21no—
285C19×#126—21no—
286C19×#125—21no—
287C19×#125—21no—
288C19×#125—21no—
289C19×#125—21no—
290C19×#125C2311yescharacteristic
291C19×#125C2311yescharacteristic
292C19×#124—21no—
293C19×#124—21no—
294C19×#124C2311yescharacteristic
295C19×#124C2311yescharacteristic
296C19×#123—21no—
297C19×#123—21no—
298C19×#123—21no—
299C19×#123—21no—
300C19×#123—21no—
301C19×#123—21no—
302C19×#123—21no—
303C19×#123—21no—
304C19×#123—21no—
305C19×#123—21no—
306C19×#123—21no—
307C19×#123—21no—
308C19×#123—21no—
309C19×#123—21no—
310C19×#123—21no—
311C19×#123—21no—
312C19×#123—21no—
313C19×#123—21no—
314C19×#123—21no—
315C19×#123—21no—
316C19×#123D411yescharacteristic
317C19×#123D411yescharacteristic
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⋊Q8—21no—
327C19×C22⋊Q8—21no—
328C19×C22⋊Q8—21no—
329C19×C22⋊Q8—21no—
330C19×C22⋊Q8—21no—
331C19×C22⋊Q8D411yescharacteristic
332C19×C22⋊Q8D411yescharacteristic
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×C22⋊Q8C2311yescharacteristic
344C19×C22⋊Q8C2311yescharacteristic
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×#121—21no—
363C19×#121—21no—
364C19×#121—21no—
365C19×#121—21no—
366C19×#121—21no—
367C19×#121—21no—
368C19×#121—21no—
369C19×#121—21no—
370C19×#121D411yescharacteristic
371C19×#121D411yescharacteristic
372C19×#121C2311yescharacteristic
373C19×#121C2311yescharacteristic
374C19×#121C2311yescharacteristic
375C19×#121C2311yescharacteristic
376C19×#121C2311yescharacteristic
377C19×#121C2311yescharacteristic
378C19×#121C2311yescharacteristic
379C19×#121C2311yescharacteristic
380C19×#120—21no—
381C19×#120—21no—
382C19×#120—21no—
383C19×#120—21no—
384C19×#120D411yescharacteristic
385C19×#120D411yescharacteristic
386C4×Q8×C19C2311yescharacteristic
387C4×Q8×C19C2311yescharacteristic
388C4×Q8×C19C2311yescharacteristic
389C4×Q8×C19C2311yescharacteristic
390C4×D4×C19—21no—
391C4×D4×C19—21no—
392C4×D4×C19—21no—
393C4×D4×C19—21no—
394C4×D4×C19—21no—
395C4×D4×C19—21no—
396C4×D4×C19—21no—
397C4×D4×C19—21no—
398C4×D4×C19—21no—
399C4×D4×C19—21no—
400C4×D4×C19—21no—
401C4×D4×C19—21no—
402C4×D4×C19—21no—
403C4×D4×C19—21no—
404C4×D4×C19C2311yescharacteristic
405C4×D4×C19C2311yescharacteristic
406C4×D4×C19C2311yescharacteristic
407C4×D4×C19C2311yescharacteristic
408C4×D4×C19C2311yescharacteristic
409C4×D4×C19C2311yescharacteristic
410C4×D4×C19C2311yescharacteristic
411C4×D4×C19C2311yescharacteristic
412C19×#117—21no—
413C19×#117—21no—
414C19×#117—21no—
415C19×#117C2311yescharacteristic
416C19×#117C2311yescharacteristic
417C19×#117C2311yescharacteristic
418C2×C4⋊C4×C19—21no—
419C2×C4⋊C4×C19—21no—
420C2×C4⋊C4×C19—21no—
421C2×C4⋊C4×C19—21no—
422C2×C4⋊C4×C19—21no—
423C2×C4⋊C4×C19—21no—
424C2×C4⋊C4×C19C2311yescharacteristic
425C2×C4⋊C4×C19C2311yescharacteristic
426C2×C4⋊C4×C19C2311yescharacteristic
427C2×C22⋊C4×C19—21no—
428C2×C22⋊C4×C19—21no—
429C2×C22⋊C4×C19—21no—
430C19×#107C2311yescharacteristic
431C19×#107C2311yescharacteristic
432C19×#107C2311yescharacteristic
433C19×#107C2311yescharacteristic
434C19×#106C2311yescharacteristic
435C19×#106C2311yescharacteristic
436C19×#106C2311yescharacteristic
437C19×#106C2311yescharacteristic
438C19×C4⋊C8C2311yescharacteristic
439C19×C4⋊C8C2311yescharacteristic
440C19×C4⋊C8C2311yescharacteristic
441C19×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
461C19×#103C2311yescharacteristic
462C19×#102C2311yescharacteristic
463C19×#102C2311yescharacteristic
464C19×#102C2311yescharacteristic
465C19×#102C2311yescharacteristic
466C19×#102C2311yescharacteristic
467C19×#102C2311yescharacteristic
468C19×#102C2311yescharacteristic
469C19×#102C2311yescharacteristic
470C19×#102C2311yescharacteristic
471C19×#102C2311yescharacteristic
472C19×#102C2311yescharacteristic
473C19×#102C2311yescharacteristic
474C19×C22⋊C8C2311yescharacteristic
475C19×C22⋊C8C2311yescharacteristic
476C19×C22⋊C8C2311yescharacteristic
477C19×C22⋊C8C2311yescharacteristic
478C19×C22⋊C8C2311yescharacteristic
479C19×C22⋊C8C2311yescharacteristic
480C19×C22⋊C8C2311yescharacteristic
481C19×C22⋊C8C2311yescharacteristic
482C19×C22⋊C8C2311yescharacteristic
483C19×C22⋊C8C2311yescharacteristic
484C19×C22⋊C8C2311yescharacteristic
485C19×C22⋊C8C2311yescharacteristic
486C19×#97C2311yescharacteristic
487C19×#97C2311yescharacteristic
488C4×C8×C19C2311yescharacteristic
489C4×C8×C19C2311yescharacteristic
490C24×C19—21no—
491C24×C19C2×D411yescharacteristic
492#41×C19—22no—
493#41×C19—22no—
494#41×C19—22no—
495#41×C19—22no—
496#41×C19—22no—
497#41×C19—22no—
498#41×C19—41no—
499#41×C19—41no—
500#41×C19—41no—
501#41×C19—41no—
502#41×C19—41no—
503#41×C19—41no—
504#41×C19—41no—
505#41×C19—41no—
506#41×C19—44no—
507#41×C19—44no—
508#41×C19—41no—
509#41×C19—41no—
510#41×C19—41no—
511#41×C19—41no—
512#41×C19—41no—
513#41×C19—41no—
514#41×C19—41no—
515#41×C19—41no—
516#41×C19—44no—
517#41×C19—44no—
518#41×C19—44no—
519C2×Q8×C19—21no—
520C2×Q8×C19—21no—
521C2×Q8×C19—21no—
522C2×Q8×C19—21no—
523C2×Q8×C19—22no—
524C2×Q8×C19—22no—
525C2×Q8×C19—22no—
526C2×Q8×C19—41no—
527C2×Q8×C19—41no—
528C2×Q8×C19—41no—
529C2×Q8×C19—41no—
530C2×Q8×C19—41no—
531C2×Q8×C19—44no—
532C2×Q8×C19C2×D411yescharacteristic
533C2×Q8×C19C2411yescharacteristic
534C2×Q8×C19C2411yescharacteristic
535C2×Q8×C19C2411yescharacteristic
536C2×Q8×C19C2411yescharacteristic
537C2×Q8×C19C2411yescharacteristic
538C2×Q8×C19C2411yescharacteristic
539C2×D4×C19—21no—
540C2×D4×C19—22no—
541C2×D4×C19—21no—
542C2×D4×C19—21no—
543C2×D4×C19—21no—
544C2×D4×C19—21no—
545C2×D4×C19—21no—
546C2×D4×C19—21no—
547C2×D4×C19—21no—
548C2×D4×C19—21no—
549C2×D4×C19—21no—
550C2×D4×C19—21no—
551C2×D4×C19—21no—
552C2×D4×C19—21no—
553C2×D4×C19—21no—
554C2×D4×C19—21no—
555C2×D4×C19—21no—
556C2×D4×C19—21no—
557C2×D4×C19—21no—
558C2×D4×C19—21no—
559C2×D4×C19—21no—
560C2×D4×C19—21no—
561C2×D4×C19—41no—
562C2×D4×C19—44no—
563C2×D4×C19C2×D411yescharacteristic
564C2×D4×C19C2×D411yescharacteristic
565C2×D4×C19C2×D411yescharacteristic
566C2×D4×C19C2×D411yescharacteristic
567C2×D4×C19C2×D411yescharacteristic
568C2×D4×C19C2×D411yescharacteristic
569C2×D4×C19C2×D411yescharacteristic
570C2×D4×C19C2411yescharacteristic
571C2×D4×C19C2411yescharacteristic
572C2×D4×C19C2411yescharacteristic
573C2×D4×C19C2411yescharacteristic
574C22×C4×C19—21no—
575C22×C4×C19—21no—
576C22×C4×C19—21no—
577C22×C4×C19—21no—
578C22×C4×C19—21no—
579C22×C4×C19—21no—
580C22×C4×C19—21no—
581C22×C4×C19—21no—
582C22×C4×C19—21no—
583C22×C4×C19—21no—
584C22×C4×C19—21no—
585C22×C4×C19—21no—
586C22×C4×C19—21no—
587C22×C4×C19—21no—
588C22×C4×C19—21no—
589C22×C4×C19—21no—
590C22×C4×C19—21no—
591C22×C4×C19—21no—
592C22×C4×C19—21no—
593C22×C4×C19—21no—
594C22×C4×C19—21no—
595C22×C4×C19—41no—
596C22×C4×C19—41no—
597C22×C4×C19—44no—
598C22×C4×C19C2×D411yescharacteristic
599C22×C4×C19C2×D411yescharacteristic
600C22×C4×C19C2×D411yescharacteristic
601C22×C4×C19C2411yescharacteristic
602C22×C4×C19C2411yescharacteristic
603C22×C4×C19C2411yescharacteristic
604C22×C4×C19C2411yescharacteristic
605C22×C4×C19C2411yescharacteristic
606Q16×C19—22no—
607Q16×C19—22no—
608Q16×C19—41no—
609Q16×C19—41no—
610Q16×C19—41no—
611Q16×C19—41no—
612Q16×C19—41no—
613Q16×C19—41no—
614SD16×C19—22no—
615SD16×C19—22no—
616SD16×C19—22no—
617SD16×C19—22no—
618SD16×C19—41no—
619SD16×C19—41no—
620SD16×C19—41no—
621SD16×C19—41no—
622SD16×C19—41no—
623SD16×C19—41no—
624SD16×C19—41no—
625SD16×C19—41no—
626D8×C19—22no—
627D8×C19—22no—
628D8×C19—41no—
629D8×C19—41no—
630M16×C19—41no—
631M16×C19—41no—
632M16×C19—41no—
633M16×C19—41no—
634C2×C8×C19—41no—
635C2×C8×C19—41no—
636C2×C8×C19—41no—
637C2×C8×C19—41no—
638C2×C8×C19C2411yescharacteristic
639C2×C8×C19C2411yescharacteristic
640C2×C8×C19C2411yescharacteristic
641C2×C8×C19C2411yescharacteristic
642C2×C8×C19C2411yescharacteristic
643C2×C8×C19C2411yescharacteristic
644C2×C8×C19C2411yescharacteristic
645C2×C8×C19C2411yescharacteristic
646C4⋊C4×C19—21no—
647C4⋊C4×C19—21no—
648C4⋊C4×C19—21no—
649C4⋊C4×C19—21no—
650C4⋊C4×C19—21no—
651C4⋊C4×C19—21no—
652C4⋊C4×C19—21no—
653C4⋊C4×C19—21no—
654C4⋊C4×C19—21no—
655C4⋊C4×C19—21no—
656C4⋊C4×C19—21no—
657C4⋊C4×C19—21no—
658C4⋊C4×C19—21no—
659C4⋊C4×C19—21no—
660C4⋊C4×C19—21no—
661C4⋊C4×C19—21no—
662C4⋊C4×C19—21no—
663C4⋊C4×C19—21no—
664C4⋊C4×C19—21no—
665C4⋊C4×C19—21no—
666C4⋊C4×C19—21no—
667C4⋊C4×C19—21no—
668C4⋊C4×C19—21no—
669C4⋊C4×C19—21no—
670C4⋊C4×C19—21no—
671C4⋊C4×C19—21no—
672C4⋊C4×C19—21no—
673C4⋊C4×C19—21no—
674C4⋊C4×C19—21no—
675C4⋊C4×C19C2×D411yescharacteristic
676C4⋊C4×C19C2×D411yescharacteristic
677C4⋊C4×C19C2×D411yescharacteristic
678C4⋊C4×C19C2×D411yescharacteristic
679C4⋊C4×C19C2×D411yescharacteristic
680C4⋊C4×C19C2×D411yescharacteristic
681C4⋊C4×C19C2411yescharacteristic
682C4⋊C4×C19C2411yescharacteristic
683C4⋊C4×C19C2411yescharacteristic
684C4⋊C4×C19C2411yescharacteristic
685C4⋊C4×C19C2411yescharacteristic
686C4⋊C4×C19C2411yescharacteristic
687C22⋊C4×C19—21no—
688C22⋊C4×C19—21no—
689C22⋊C4×C19—21no—
690C22⋊C4×C19—21no—
691C22⋊C4×C19—21no—
692C22⋊C4×C19—21no—
693C22⋊C4×C19—21no—
694C22⋊C4×C19—21no—
695C22⋊C4×C19—21no—
696C22⋊C4×C19—21no—
697C22⋊C4×C19—21no—
698C22⋊C4×C19—21no—
699C22⋊C4×C19—21no—
700C22⋊C4×C19—21no—
701C22⋊C4×C19—21no—
702C22⋊C4×C19—21no—
703C22⋊C4×C19—21no—
704C22⋊C4×C19—21no—
705C22⋊C4×C19—21no—
706C22⋊C4×C19—21no—
707C22⋊C4×C19—21no—
708C22⋊C4×C19—21no—
709C22⋊C4×C19—21no—
710C22⋊C4×C19—21no—
711C22⋊C4×C19—21no—
712C22⋊C4×C19—21no—
713C22⋊C4×C19—21no—
714C22⋊C4×C19—21no—
715C22⋊C4×C19—21no—
716C22⋊C4×C19—21no—
717C22⋊C4×C19C2×D411yescharacteristic
718C22⋊C4×C19C2×D411yescharacteristic
719C22⋊C4×C19C2×D411yescharacteristic
720C22⋊C4×C19C2×D411yescharacteristic
721C22⋊C4×C19C2×D411yescharacteristic
722C22⋊C4×C19C2×D411yescharacteristic
723C22⋊C4×C19C2×D411yescharacteristic
724C22⋊C4×C19C2×D411yescharacteristic
725C22⋊C4×C19C2×D411yescharacteristic
726C22⋊C4×C19C2×D411yescharacteristic
727C42×C19—21no—
728C42×C19—21no—
729C42×C19—21no—
730C42×C19—21no—
731C42×C19—21no—
732C42×C19—21no—
733C42×C19C2411yescharacteristic
734C42×C19C2411yescharacteristic
735#61626C1911yesmaximal, characteristic, direct product factor, Sylow
736C23×C19—21no—
737C23×C19—21no—
738C23×C19—21no—
739C23×C19—21no—
740C23×C19—41no—
741C23×C19—41no—
742C23×C19—41no—
743C23×C19—42no—
744C23×C19—42no—
745C23×C19—81no—
746C23×C19C22×D411yescharacteristic
747C23×C19C22×D411yescharacteristic
748C23×C19C22×D411yescharacteristic
749C23×C19C22×D411yescharacteristic
750C23×C19C22×D411yescharacteristic
751Q8×C19—21no—
752Q8×C19—21no—
753Q8×C19—21no—
754Q8×C19—21no—
755Q8×C19—21no—
756Q8×C19—21no—
757Q8×C19—21no—
758Q8×C19—21no—
759Q8×C19—21no—
760Q8×C19—21no—
761Q8×C19—21no—
762Q8×C19—41no—
763Q8×C19—42no—
764Q8×C19—42no—
765Q8×C19—42no—
766Q8×C19—42no—
767Q8×C19H(5,𝔽2)12yes—
768D4×C19—24no—
769D4×C19—21no—
770D4×C19—21no—
771D4×C19—21no—
772D4×C19—21no—
773D4×C19—21no—
774D4×C19—21no—
775D4×C19—21no—
776D4×C19—41no—
777D4×C19—41no—
778D4×C19—41no—
779D4×C19—41no—
780D4×C19—41no—
781D4×C19—41no—
782D4×C19—41no—
783D4×C19—42no—
784D4×C19—42no—
785D4×C19—42no—
786D4×C19—42no—
787D4×C19—42no—
788D4×C19—42no—
789D4×C19—81no—
790D4×C19—81no—
791D4×C19—81no—
792D4×C19—81no—
793D4×C19—81no—
794D4×C19—81no—
795D4×C19—81no—
796D4×C19—81no—
797D4×C19—81no—
798D4×C19—81no—
799D4×C19—81no—
800D4×C19—81no—
801D4×C19—81no—
802D4×C19—81no—
803D4×C19H(5,𝔽2)12yes—
804C2×C4×C19—24no—
805C2×C4×C19—21no—
806C2×C4×C19—21no—
807C2×C4×C19—21no—
808C2×C4×C19—21no—
809C2×C4×C19—21no—
810C2×C4×C19—21no—
811C2×C4×C19—21no—
812C2×C4×C19—21no—
813C2×C4×C19—21no—
814C2×C4×C19—21no—
815C2×C4×C19—21no—
816C2×C4×C19—21no—
817C2×C4×C19—21no—
818C2×C4×C19—21no—
819C2×C4×C19—21no—
820C2×C4×C19—21no—
821C2×C4×C19—21no—
822C2×C4×C19—21no—
823C2×C4×C19—21no—
824C2×C4×C19—21no—
825C2×C4×C19—21no—
826C2×C4×C19—21no—
827C2×C4×C19—41no—
828C2×C4×C19—41no—
829C2×C4×C19—41no—
830C2×C4×C19—42no—
831C2×C4×C19—42no—
832C2×C4×C19—42no—
833C2×C4×C19—42no—
834C2×C4×C19—42no—
835C2×C4×C19—42no—
836C2×C4×C19—42no—
837C2×C4×C19—42no—
838C2×C4×C19—42no—
839C2×C4×C19—81no—
840C2×C4×C19—81no—
841C2×C4×C19—81no—
842C2×C4×C19—81no—
843C2×C4×C19—81no—
844C2×C4×C19—81no—
845C2×C4×C19—81no—
846C2×C4×C19—81no—
847C2×C4×C19—81no—
848C2×C4×C19—81no—
849C2×C4×C19—81no—
850C2×C4×C19C22×D411yescharacteristic
851C2×C4×C19C22×D411yescharacteristic
852C2×C4×C19C22×D411yescharacteristic
853C2×C4×C19C22×D411yescharacteristic
854C2×C4×C19C22×D411yescharacteristic
855C2×C4×C19C22×D411yescharacteristic
856C2×C4×C19C22×D411yescharacteristic
857C2×C4×C19C22×D411yescharacteristic
858C2×C4×C19C22×D411yescharacteristic
859C2×C4×C19C2511yescharacteristic
860C8×C19—21no—
861C8×C19—21no—
862C8×C19—21no—
863C8×C19—21no—
864C8×C19—21no—
865C8×C19—21no—
866C8×C19—21no—
867C8×C19—21no—
868#3539C2×C1911yescharacteristic, complemented
869#3489C2×C1911yescharacteristic, complemented
870#3323C2×C1911yescharacteristic, complemented
871#3322C2×C1911yescharacteristic, complemented
872#3320C2×C1911yescharacteristic, complemented
873#3315C2×C1911yescharacteristic, complemented
874#3312C2×C1911yescharacteristic, complemented
875#3307C2×C1911yescharacteristic, complemented
876#3301C2×C1911yescharacteristic, complemented
877#3300C2×C1911yescharacteristic, complemented
878#3284C2×C1911yescharacteristic, complemented
879#3283C2×C1911yescharacteristic, complemented
880#3278C2×C1911yescharacteristic, complemented
881#3276C2×C1911yescharacteristic, complemented
882#3271C2×C1911yescharacteristic, complemented
883#3269C2×C1911yescharacteristic, complemented
884#3268C2×C1911yescharacteristic, complemented
885#3267C2×C1911yescharacteristic, complemented
886#3223C2×C1911yescharacteristic, complemented
887#3221C2×C1911yescharacteristic, complemented
888#3204C2×C1911yescharacteristic, complemented
889#3203C2×C1911yescharacteristic, complemented
890#3196C2×C1911yescharacteristic, complemented
891#3190C2×C1911yescharacteristic, complemented
892#3120C2×C1911yescharacteristic, complemented
893#3119C2×C1911yescharacteristic, complemented
894#3013C2×C1911yescharacteristic, complemented
895#3013C2×C1911yescharacteristic, complemented
896#3005C2×C1911yescharacteristic, complemented
897#3002C2×C1911yescharacteristic, complemented
898#2976C2×C1911yescharacteristic, complemented
899C22×C19—21no—
900C22×C19—21no—
901C22×C19—21no—
902C22×C19—21no—
903C22×C19—21no—
904C22×C19—21no—
905C22×C19—21no—
906C22×C19—21no—
907C22×C19—21no—
908C22×C19—21no—
909C22×C19—21no—
910C22×C19—22no—
911C22×C19—21no—
912C22×C19—21no—
913C22×C19—21no—
914C22×C19—21no—
915C22×C19—41no—
916C22×C19—41no—
917C22×C19—41no—
918C22×C19—41no—
919C22×C19—41no—
920C22×C19—41no—
921C22×C19—41no—
922C22×C19—41no—
923C22×C19—41no—
924C22×C19—41no—
925C22×C19—41no—
926C22×C19—82no—
927C22×C19—84no—
928C22×C19C23×D411yescharacteristic
929C4×C19—21no—
930C4×C19—21no—
931C4×C19—21no—
932C4×C19—21no—
933C4×C19—21no—
934C4×C19—22no—
935C4×C19—21no—
936C4×C19—21no—
937C4×C19—21no—
938C4×C19—21no—
939C4×C19—41no—
940C4×C19—41no—
941C4×C19—41no—
942C4×C19—41no—
943C4×C19—41no—
944C4×C19—41no—
945C4×C19—41no—
946C4×C19—41no—
947C4×C19—41no—
948C4×C19—41no—
949C4×C19—41no—
950C4×C19C2×H(5,𝔽2)11yescharacteristic
951C4×C19C2×H(5,𝔽2)11yescharacteristic
952C2×2−1+4C22×C1911yescharacteristic
953C22×#41C22×C1911yescharacteristic
954C2×#137C22×C1911yescharacteristic
955C2×#137C22×C1911yescharacteristic, complemented
956C2×#137C22×C1911yescharacteristic, complemented
957C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
958C2×#135C22×C1911yescharacteristic
959C2×#135C22×C1911yescharacteristic
960C2×#135C22×C1911yescharacteristic, complemented
961C2×#135C22×C1911yescharacteristic, complemented
962#560—21no—
963#560—21no—
964#553—21no—
965#553—21no—
966#553C22×C1911yescharacteristic
967#553C22×C1911yescharacteristic, complemented
968#552C22×C1911yescharacteristic
969#552C22×C1911yescharacteristic, complemented
970#550C22×C1911yescharacteristic
971#550C22×C1911yescharacteristic, complemented
972D4×Q8C22×C1911yescharacteristic
973D4×Q8C22×C1911yescharacteristic
974#548C22×C1911yescharacteristic
975#548C22×C1911yescharacteristic
976#547—21no—
977#547—21no—
978#547C22×C1911yescharacteristic
979#547C22×C1911yescharacteristic
980#547C22×C1911yescharacteristic
981#547C22×C1911yescharacteristic, complemented
982#546—21no—
983#546—21no—
984#546C22×C1911yescharacteristic
985#546C22×C1911yescharacteristic
986#541C22×C1911yescharacteristic, complemented
987#540—21no—
988#540—21no—
989#540C22×C1911yescharacteristic, complemented
990#539—21no—
991#539—21no—
992#537—21no—
993#537C22×C1911yescharacteristic
994#537C22×C1911yescharacteristic, complemented
995#537C22×C1911yescharacteristic, complemented
996#536—21no—
997#536C22×C1911yescharacteristic
998#525—21no—
999#525C22×C1911yescharacteristic
1000#525C22×C1911yescharacteristic
1001#525C22×C1911yescharacteristic
1002C2×C22⋊Q8—21no—
1003C2×C22⋊Q8C22×C1911yescharacteristic
1004#520C22×C1911yescharacteristic
1005#497C22×C1911yescharacteristic, complemented
1006#496C22×C1911yescharacteristic, complemented
1007#494C22×C1911yescharacteristic, complemented
1008#492C22×C1911yescharacteristic, complemented
1009#491C22×C1911yescharacteristic, complemented
1010#491C22×C1911yescharacteristic, complemented
1011#488C22×C1911yescharacteristic, complemented
1012#488C22×C1911yescharacteristic, complemented
1013#485C22×C1911yescharacteristic
1014#485C22×C1911yescharacteristic
1015#485C22×C1911yescharacteristic, complemented
1016#485C22×C1911yescharacteristic, complemented
1017#484C22×C1911yescharacteristic, complemented
1018#484C22×C1911yescharacteristic, complemented
1019#483C22×C1911yescharacteristic, complemented
1020#483C22×C1911yescharacteristic, complemented
1021#481C22×C1911yescharacteristic, complemented
1022#481C22×C1911yescharacteristic, complemented
1023#480C22×C1911yescharacteristic, complemented
1024#480C22×C1911yescharacteristic, complemented
1025#479C22×C1911yescharacteristic, complemented
1026#479C22×C1911yescharacteristic, complemented
1027#478C22×C1911yescharacteristic, complemented
1028#478C22×C1911yescharacteristic, complemented
1029#470C22×C1911yescharacteristic
1030#470C22×C1911yescharacteristic
1031#470C22×C1911yescharacteristic, complemented
1032#469C22×C1911yescharacteristic, complemented
1033#468C22×C1911yescharacteristic
1034#468C22×C1911yescharacteristic
1035#468C22×C1911yescharacteristic, complemented
1036#468C22×C1911yescharacteristic, complemented
1037#467C22×C1911yescharacteristic, complemented
1038#467C22×C1911yescharacteristic, complemented
1039#467C22×C1911yescharacteristic, complemented
1040#466C22×C1911yescharacteristic, complemented
1041#465C22×C1911yescharacteristic, complemented
1042#465C22×C1911yescharacteristic, complemented
1043#465C22×C1911yescharacteristic, complemented
1044#465C22×C1911yescharacteristic, complemented
1045#464C22×C1911yescharacteristic, complemented
1046#464C22×C1911yescharacteristic, complemented
1047#463C22×C1911yescharacteristic, complemented
1048#463C22×C1911yescharacteristic, complemented
1049#462C22×C1911yescharacteristic, complemented
1050#462C22×C1911yescharacteristic, complemented
1051#462C22×C1911yescharacteristic, complemented
1052#461C22×C1911yescharacteristic, complemented
1053#461C22×C1911yescharacteristic, complemented
1054#461C22×C1911yescharacteristic, complemented
1055#460C22×C1911yescharacteristic, complemented
1056#459C22×C1911yescharacteristic, complemented
1057#452C22×C1911yescharacteristic
1058#452C22×C1911yescharacteristic
1059#452C22×C1911yescharacteristic
1060#452C22×C1911yescharacteristic
1061#452C22×C1911yescharacteristic
1062#452C22×C1911yescharacteristic
1063#452C22×C1911yescharacteristic
1064#452C22×C1911yescharacteristic
1065#452C22×C1911yescharacteristic, complemented
1066#452C22×C1911yescharacteristic, complemented
1067#452C22×C1911yescharacteristic, complemented
1068#452C22×C1911yescharacteristic, complemented
1069#452C22×C1911yescharacteristic, complemented
1070#452C22×C1911yescharacteristic, complemented
1071#451C22×C1911yescharacteristic
1072#451C22×C1911yescharacteristic, complemented
1073#451C22×C1911yescharacteristic, complemented
1074#451C22×C1911yescharacteristic, complemented
1075#451C22×C1911yescharacteristic, complemented
1076#450C22×C1911yescharacteristic
1077#449C22×C1911yescharacteristic
1078#449C22×C1911yescharacteristic
1079#449C22×C1911yescharacteristic
1080#449C22×C1911yescharacteristic
1081#449C22×C1911yescharacteristic
1082#449C22×C1911yescharacteristic
1083#449C22×C1911yescharacteristic, complemented
1084#449C22×C1911yescharacteristic, complemented
1085#449C22×C1911yescharacteristic, complemented
1086#449C22×C1911yescharacteristic, complemented
1087#448C22×C1911yescharacteristic
1088#448C22×C1911yescharacteristic, complemented
1089#448C22×C1911yescharacteristic, complemented
1090#448C22×C1911yescharacteristic, complemented
1091#448C22×C1911yescharacteristic, complemented
1092#447C22×C1911yescharacteristic
1093#442C22×C1911yescharacteristic, complemented
1094#441C22×C1911yescharacteristic, complemented
1095#440C22×C1911yescharacteristic, complemented
1096#440C22×C1911yescharacteristic, complemented
1097C4×Q16C22×C1911yescharacteristic, complemented
1098C4×SD16C22×C1911yescharacteristic, complemented
1099C4×SD16C22×C1911yescharacteristic, complemented
1100C4×D8C22×C1911yescharacteristic, complemented
1101#436C22×C1911yescharacteristic
1102#436C22×C1911yescharacteristic
1103#435C22×C1911yescharacteristic
1104#435C22×C1911yescharacteristic
1105#435C22×C1911yescharacteristic, complemented
1106#435C22×C1911yescharacteristic, complemented
1107C8×D4C22×C1911yescharacteristic, complemented
1108C8×D4C22×C1911yescharacteristic, complemented
1109#433C22×C1911yescharacteristic, complemented
1110#433C22×C1911yescharacteristic, complemented
1111#419C22×C1911yescharacteristic
1112#418C22×C1911yescharacteristic
1113#417C22×C1911yescharacteristic, complemented
1114#417C22×C1911yescharacteristic, complemented
1115#416C22×C1911yescharacteristic
1116#416C22×C1911yescharacteristic
1117C2×#103C22×C1911yescharacteristic, complemented
1118C2×#103C22×C1911yescharacteristic, complemented
1119#408C22×C1911yescharacteristic, complemented
1120#408C22×C1911yescharacteristic, complemented
1121#407C22×C1911yescharacteristic
1122C2×C22⋊C8C22×C1911yescharacteristic
1123C2×C19—41no—
1124C2×C19—41no—
1125C2×C19—41no—
1126C2×C19—41no—
1127C2×C19—41no—
1128C2×C19—42no—
1129C2×C19—81no—
1130C2×C19—81no—
1131C2×C19—81no—
1132C2×C19#348411yescharacteristic
1133C2×C19#358411yescharacteristic
1134C2×C19#358611yescharacteristic
11352−1+4—42no—
11362−1+4—42no—
1137C2×#41—21no—
1138C2×#41—21no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—42no—
1143C2×#41—42no—
1144C2×#41C23×C1911yescharacteristic
1145C2×#41C23×C1911yescharacteristic
1146C2×#41C23×C1911yescharacteristic
1147C2×#41C23×C1911yescharacteristic
1148C2×#41C23×C1911yescharacteristic
1149C2×#41C23×C1911yescharacteristic
1150C2×#41C23×C1911yescharacteristic
1151C2×#41C23×C1911yescharacteristic
1152C2×#41C23×C1911yescharacteristic
1153C2×#41C23×C1911yescharacteristic
1154C2×#41C23×C1911yescharacteristic
1155C22×Q8—21no—
1156C22×Q8C23×C1911yescharacteristic
1157C22×Q8C23×C1911yescharacteristic
1158C22×Q8C23×C1911yescharacteristic
1159C22×Q8C23×C1911yescharacteristic
1160C22×D4—21no—
1161C22×D4C23×C1911yescharacteristic
1162C23×C4—21no—
1163C23×C4C23×C1911yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168#135—42no—
1169#135—42no—
1170#135—42no—
1171#135—42no—
1172C2×Q16C23×C1911yescharacteristic
1173C2×Q16C23×C1911yescharacteristic
1174C2×Q16C23×C1911yescharacteristic
1175C2×Q16C23×C1911yescharacteristic
1176C2×Q16C23×C1911yescharacteristic
1177C2×Q16C23×C1911yescharacteristic
1178C2×Q16C23×C1911yescharacteristic
1179C2×Q16C23×C1911yescharacteristic
1180C2×SD16C23×C1911yescharacteristic
1181C2×SD16C23×C1911yescharacteristic
1182C2×SD16C23×C1911yescharacteristic
1183C2×SD16C23×C1911yescharacteristic
1184C2×SD16C23×C1911yescharacteristic
1185C2×SD16C23×C1911yescharacteristic
1186C2×SD16C23×C1911yescharacteristic
1187C2×SD16C23×C1911yescharacteristic
1188C2×SD16C23×C1911yescharacteristic
1189C2×SD16C23×C1911yescharacteristic
1190C2×SD16C23×C1911yescharacteristic
1191C2×SD16C23×C1911yescharacteristic
1192C2×D8C23×C1911yescharacteristic
1193C2×D8C23×C1911yescharacteristic
1194C2×D8C23×C1911yescharacteristic
1195C2×D8C23×C1911yescharacteristic
1196C2×M16C23×C1911yescharacteristic
1197C2×M16C23×C1911yescharacteristic
1198C2×M16C23×C1911yescharacteristic
1199C2×M16C23×C1911yescharacteristic
1200C22×C8C23×C1911yescharacteristic
1201C22×C8C23×C1911yescharacteristic
1202C22×C8C23×C1911yescharacteristic
1203C22×C8C23×C1911yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8C23×C1911yescharacteristic
1207C4⋊Q8C23×C1911yescharacteristic
1208C4⋊Q8C23×C1911yescharacteristic
1209#127—21no—
1210#127—21no—
1211#127C23×C1911yescharacteristic
1212#126—21no—
1213#126—21no—
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#125—21no—
1219#125—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C1911yescharacteristic
1223#125C23×C1911yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124C23×C1911yescharacteristic
1227#124C23×C1911yescharacteristic
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123D4×C1911yescharacteristic
1249#123D4×C1911yescharacteristic
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8D4×C1911yescharacteristic
1264C22⋊Q8D4×C1911yescharacteristic
1265C22⋊Q8C23×C1911yescharacteristic
1266C22⋊Q8C23×C1911yescharacteristic
1267C22⋊Q8C23×C1911yescharacteristic
1268C22⋊Q8C23×C1911yescharacteristic
1269C22⋊Q8C23×C1911yescharacteristic
1270C22⋊Q8C23×C1911yescharacteristic
1271C22⋊Q8C23×C1911yescharacteristic
1272C22⋊Q8C23×C1911yescharacteristic
1273C22⋊Q8C23×C1911yescharacteristic
1274C22⋊Q8C23×C1911yescharacteristic
1275C22⋊Q8C23×C1911yescharacteristic
1276C22⋊Q8C23×C1911yescharacteristic
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121D4×C1911yescharacteristic
1303#121D4×C1911yescharacteristic
1304#121C23×C1911yescharacteristic
1305#121C23×C1911yescharacteristic
1306#121C23×C1911yescharacteristic
1307#121C23×C1911yescharacteristic
1308#121C23×C1911yescharacteristic
1309#121C23×C1911yescharacteristic
1310#121C23×C1911yescharacteristic
1311#121C23×C1911yescharacteristic
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120D4×C1911yescharacteristic
1317#120D4×C1911yescharacteristic
1318C4×Q8C23×C1911yescharacteristic
1319C4×Q8C23×C1911yescharacteristic
1320C4×Q8C23×C1911yescharacteristic
1321C4×Q8C23×C1911yescharacteristic
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4C23×C1911yescharacteristic
1337C4×D4C23×C1911yescharacteristic
1338C4×D4C23×C1911yescharacteristic
1339C4×D4C23×C1911yescharacteristic
1340C4×D4C23×C1911yescharacteristic
1341C4×D4C23×C1911yescharacteristic
1342C4×D4C23×C1911yescharacteristic
1343C4×D4C23×C1911yescharacteristic
1344#117—21no—
1345#117—21no—
1346#117—21no—
1347#117C23×C1911yescharacteristic
1348#117C23×C1911yescharacteristic
1349#117C23×C1911yescharacteristic
1350C2×C4⋊C4—21no—
1351C2×C4⋊C4—21no—
1352C2×C4⋊C4—21no—
1353C2×C4⋊C4—21no—
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—21no—
1356C2×C4⋊C4C23×C1911yescharacteristic
1357C2×C4⋊C4C23×C1911yescharacteristic
1358C2×C4⋊C4C23×C1911yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362#107C23×C1911yescharacteristic
1363#107C23×C1911yescharacteristic
1364#107C23×C1911yescharacteristic
1365#107C23×C1911yescharacteristic
1366#106C23×C1911yescharacteristic
1367#106C23×C1911yescharacteristic
1368#106C23×C1911yescharacteristic
1369#106C23×C1911yescharacteristic
1370C4⋊C8C23×C1911yescharacteristic
1371C4⋊C8C23×C1911yescharacteristic
1372C4⋊C8C23×C1911yescharacteristic
1373C4⋊C8C23×C1911yescharacteristic
1374#103C23×C1911yescharacteristic
1375#103C23×C1911yescharacteristic
1376#103C23×C1911yescharacteristic
1377#103C23×C1911yescharacteristic
1378#103C23×C1911yescharacteristic
1379#103C23×C1911yescharacteristic
1380#103C23×C1911yescharacteristic
1381#103C23×C1911yescharacteristic
1382#103C23×C1911yescharacteristic
1383#103C23×C1911yescharacteristic
1384#103C23×C1911yescharacteristic
1385#103C23×C1911yescharacteristic
1386#103C23×C1911yescharacteristic
1387#103C23×C1911yescharacteristic
1388#103C23×C1911yescharacteristic
1389#103C23×C1911yescharacteristic
1390#103C23×C1911yescharacteristic
1391#103C23×C1911yescharacteristic
1392#103C23×C1911yescharacteristic
1393#103C23×C1911yescharacteristic
1394#102C23×C1911yescharacteristic
1395#102C23×C1911yescharacteristic
1396#102C23×C1911yescharacteristic
1397#102C23×C1911yescharacteristic
1398#102C23×C1911yescharacteristic
1399#102C23×C1911yescharacteristic
1400#102C23×C1911yescharacteristic
1401#102C23×C1911yescharacteristic
1402#102C23×C1911yescharacteristic
1403#102C23×C1911yescharacteristic
1404#102C23×C1911yescharacteristic
1405#102C23×C1911yescharacteristic
1406C22⋊C8C23×C1911yescharacteristic
1407C22⋊C8C23×C1911yescharacteristic
1408C22⋊C8C23×C1911yescharacteristic
1409C22⋊C8C23×C1911yescharacteristic
1410C22⋊C8C23×C1911yescharacteristic
1411C22⋊C8C23×C1911yescharacteristic
1412C22⋊C8C23×C1911yescharacteristic
1413C22⋊C8C23×C1911yescharacteristic
1414C22⋊C8C23×C1911yescharacteristic
1415C22⋊C8C23×C1911yescharacteristic
1416C22⋊C8C23×C1911yescharacteristic
1417C22⋊C8C23×C1911yescharacteristic
1418#97C23×C1911yescharacteristic
1419#97C23×C1911yescharacteristic
1420C4×C8C23×C1911yescharacteristic
1421C4×C8C23×C1911yescharacteristic
1422C19#6162611yescharacteristic, direct product factor, Sylow
1423C24—21no—
1424C24C2×D4×C1911yescharacteristic
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—44no—
1450#41—44no—
1451#41—44no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—44no—
1465C2×Q8C2×D4×C1911yescharacteristic
1466C2×Q8C24×C1911yescharacteristic
1467C2×Q8C24×C1911yescharacteristic
1468C2×Q8C24×C1911yescharacteristic
1469C2×Q8C24×C1911yescharacteristic
1470C2×Q8C24×C1911yescharacteristic
1471C2×Q8C24×C1911yescharacteristic
1472C2×D4—21no—
1473C2×D4—22no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—44no—
1496C2×D4C2×D4×C1911yescharacteristic
1497C2×D4C2×D4×C1911yescharacteristic
1498C2×D4C2×D4×C1911yescharacteristic
1499C2×D4C2×D4×C1911yescharacteristic
1500C2×D4C2×D4×C1911yescharacteristic
1501C2×D4C2×D4×C1911yescharacteristic
1502C2×D4C2×D4×C1911yescharacteristic
1503C2×D4C24×C1911yescharacteristic
1504C2×D4C24×C1911yescharacteristic
1505C2×D4C24×C1911yescharacteristic
1506C2×D4C24×C1911yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—44no—
1531C22×C4C2×D4×C1911yescharacteristic
1532C22×C4C2×D4×C1911yescharacteristic
1533C22×C4C2×D4×C1911yescharacteristic
1534C22×C4C24×C1911yescharacteristic
1535C22×C4C24×C1911yescharacteristic
1536C22×C4C24×C1911yescharacteristic
1537C22×C4C24×C1911yescharacteristic
1538C22×C4C24×C1911yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547SD16—22no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559D8—22no—
1560D8—22no—
1561D8—41no—
1562D8—41no—
1563M16—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8C24×C1911yescharacteristic
1572C2×C8C24×C1911yescharacteristic
1573C2×C8C24×C1911yescharacteristic
1574C2×C8C24×C1911yescharacteristic
1575C2×C8C24×C1911yescharacteristic
1576C2×C8C24×C1911yescharacteristic
1577C2×C8C24×C1911yescharacteristic
1578C2×C8C24×C1911yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4C2×D4×C1911yescharacteristic
1609C4⋊C4C2×D4×C1911yescharacteristic
1610C4⋊C4C2×D4×C1911yescharacteristic
1611C4⋊C4C2×D4×C1911yescharacteristic
1612C4⋊C4C2×D4×C1911yescharacteristic
1613C4⋊C4C2×D4×C1911yescharacteristic
1614C4⋊C4C24×C1911yescharacteristic
1615C4⋊C4C24×C1911yescharacteristic
1616C4⋊C4C24×C1911yescharacteristic
1617C4⋊C4C24×C1911yescharacteristic
1618C4⋊C4C24×C1911yescharacteristic
1619C4⋊C4C24×C1911yescharacteristic
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4C2×D4×C1911yescharacteristic
1651C22⋊C4C2×D4×C1911yescharacteristic
1652C22⋊C4C2×D4×C1911yescharacteristic
1653C22⋊C4C2×D4×C1911yescharacteristic
1654C22⋊C4C2×D4×C1911yescharacteristic
1655C22⋊C4C2×D4×C1911yescharacteristic
1656C22⋊C4C2×D4×C1911yescharacteristic
1657C22⋊C4C2×D4×C1911yescharacteristic
1658C22⋊C4C2×D4×C1911yescharacteristic
1659C22⋊C4C2×D4×C1911yescharacteristic
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42C24×C1911yescharacteristic
1667C42C24×C1911yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—41no—
1673C23—41no—
1674C23—41no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23C22×D4×C1911yescharacteristic
1679C23C22×D4×C1911yescharacteristic
1680C23C22×D4×C1911yescharacteristic
1681C23C22×D4×C1911yescharacteristic
1682C23C22×D4×C1911yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—41no—
1695Q8—42no—
1696Q8—42no—
1697Q8—42no—
1698Q8—42no—
1699Q8C19×H(5,𝔽2)12yes—
1700D4—24no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4C19×H(5,𝔽2)12yes—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—81no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4C22×D4×C1911yescharacteristic
1783C2×C4C22×D4×C1911yescharacteristic
1784C2×C4C22×D4×C1911yescharacteristic
1785C2×C4C22×D4×C1911yescharacteristic
1786C2×C4C22×D4×C1911yescharacteristic
1787C2×C4C22×D4×C1911yescharacteristic
1788C2×C4C22×D4×C1911yescharacteristic
1789C2×C4C22×D4×C1911yescharacteristic
1790C2×C4C22×D4×C1911yescharacteristic
1791C2×C4C25×C1911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C22—21no—
1801C22—22no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—82no—
1828C22—84no—
1829C22C23×D4×C1911yescharacteristic
1830C4—21no—
1831C4—22no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4C2×C19×H(5,𝔽2)11yescharacteristic
1852C4C2×C19×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2C19×#348411yescharacteristic
1863C2C19×#358411yescharacteristic
1864C2C19×#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×#3539C2semidirect
2. C19×#3489C2semidirect
3. C19×#3323C2semidirect
4. C19×#3322C2semidirect
5. C19×#3320C2semidirect
6. C19×#3315C2semidirect
7. C19×#3312C2semidirect
8. C19×#3307C2semidirect
9. C19×#3301C2semidirect
10. C19×#3300C2semidirect
11. C19×#3284C2semidirect
12. C19×#3283C2semidirect
13. C19×#3278C2semidirect
14. C19×#3276C2semidirect
15. C19×#3271C2semidirect
16. C19×#3269C2semidirect
17. C19×#3268C2semidirect
18. C19×#3267C2semidirect
19. C19×#3223C2semidirect
20. C19×#3221C2semidirect
21. C19×#3204C2semidirect
22. C19×#3203C2semidirect
23. C19×#3196C2semidirect
24. C19×#3190C2semidirect
25. C19×#3120C2semidirect
26. C19×#3119C2semidirect
27. C19×#3013C2semidirect
28. C19×#3013C2semidirect
29. C19×#3005C2semidirect
30. C19×#3002C2semidirect
31. C19×#2976C2semidirect
35. C2×C19×#137C22semidirect
36. C2×C19×#137C22semidirect
40. C2×C19×#135C22semidirect
41. C2×C19×#135C22semidirect
47. C19×#553C22semidirect
49. C19×#552C22semidirect
51. C19×#550C22semidirect
61. C19×#547C22semidirect
66. C19×#541C22semidirect
69. C19×#540C22semidirect
74. C19×#537C22semidirect
75. C19×#537C22semidirect
85. C19×#497C22semidirect
86. C19×#496C22semidirect
87. C19×#494C22semidirect
88. C19×#492C22semidirect
89. C19×#491C22semidirect
90. C19×#491C22semidirect
91. C19×#488C22semidirect
92. C19×#488C22semidirect
95. C19×#485C22semidirect
96. C19×#485C22semidirect
97. C19×#484C22semidirect
98. C19×#484C22semidirect
99. C19×#483C22semidirect
100. C19×#483C22semidirect
101. C19×#481C22semidirect
102. C19×#481C22semidirect
103. C19×#480C22semidirect
104. C19×#480C22semidirect
105. C19×#479C22semidirect
106. C19×#479C22semidirect
107. C19×#478C22semidirect
108. C19×#478C22semidirect
111. C19×#470C22semidirect
112. C19×#469C22semidirect
115. C19×#468C22semidirect
116. C19×#468C22semidirect
117. C19×#467C22semidirect
118. C19×#467C22semidirect
119. C19×#467C22semidirect
120. C19×#466C22semidirect
121. C19×#465C22semidirect
122. C19×#465C22semidirect
123. C19×#465C22semidirect
124. C19×#465C22semidirect
125. C19×#464C22semidirect
126. C19×#464C22semidirect
127. C19×#463C22semidirect
128. C19×#463C22semidirect
129. C19×#462C22semidirect
130. C19×#462C22semidirect
131. C19×#462C22semidirect
132. C19×#461C22semidirect
133. C19×#461C22semidirect
134. C19×#461C22semidirect
135. C19×#460C22semidirect
136. C19×#459C22semidirect
145. C19×#452C22semidirect
146. C19×#452C22semidirect
147. C19×#452C22semidirect
148. C19×#452C22semidirect
149. C19×#452C22semidirect
150. C19×#452C22semidirect
152. C19×#451C22semidirect
153. C19×#451C22semidirect
154. C19×#451C22semidirect
155. C19×#451C22semidirect
163. C19×#449C22semidirect
164. C19×#449C22semidirect
165. C19×#449C22semidirect
166. C19×#449C22semidirect
168. C19×#448C22semidirect
169. C19×#448C22semidirect
170. C19×#448C22semidirect
171. C19×#448C22semidirect
173. C19×#442C22semidirect
174. C19×#441C22semidirect
175. C19×#440C22semidirect
176. C19×#440C22semidirect
177. C4×Q16×C19C22semidirect
178. C4×SD16×C19C22semidirect
179. C4×SD16×C19C22semidirect
180. C4×D8×C19C22semidirect
185. C19×#435C22semidirect
186. C19×#435C22semidirect
187. C8×D4×C19C22semidirect
188. C8×D4×C19C22semidirect
189. C19×#433C22semidirect
190. C19×#433C22semidirect
193. C19×#417C22semidirect
194. C19×#417C22semidirect
197. C2×C19×#103C22semidirect
198. C2×C19×#103C22semidirect
199. C19×#408C22semidirect
200. C19×#408C22semidirect
735. #61626C19direct (N × H)
868. #3539C2×C19semidirect
869. #3489C2×C19semidirect
870. #3323C2×C19semidirect
871. #3322C2×C19semidirect
872. #3320C2×C19semidirect
873. #3315C2×C19semidirect
874. #3312C2×C19semidirect
875. #3307C2×C19semidirect
876. #3301C2×C19semidirect
877. #3300C2×C19semidirect
878. #3284C2×C19semidirect
879. #3283C2×C19semidirect
880. #3278C2×C19semidirect
881. #3276C2×C19semidirect
882. #3271C2×C19semidirect
883. #3269C2×C19semidirect
884. #3268C2×C19semidirect
885. #3267C2×C19semidirect
886. #3223C2×C19semidirect
887. #3221C2×C19semidirect
888. #3204C2×C19semidirect
889. #3203C2×C19semidirect
890. #3196C2×C19semidirect
891. #3190C2×C19semidirect
892. #3120C2×C19semidirect
893. #3119C2×C19semidirect
894. #3013C2×C19semidirect
895. #3013C2×C19semidirect
896. #3005C2×C19semidirect
897. #3002C2×C19semidirect
898. #2976C2×C19semidirect
955. C2×#137C22×C19semidirect
956. C2×#137C22×C19semidirect
960. C2×#135C22×C19semidirect
961. C2×#135C22×C19semidirect
967. #553C22×C19semidirect
969. #552C22×C19semidirect
971. #550C22×C19semidirect
981. #547C22×C19semidirect
986. #541C22×C19semidirect
989. #540C22×C19semidirect
994. #537C22×C19semidirect
995. #537C22×C19semidirect
1005. #497C22×C19semidirect
1006. #496C22×C19semidirect
1007. #494C22×C19semidirect
1008. #492C22×C19semidirect
1009. #491C22×C19semidirect
1010. #491C22×C19semidirect
1011. #488C22×C19semidirect
1012. #488C22×C19semidirect
1015. #485C22×C19semidirect
1016. #485C22×C19semidirect
1017. #484C22×C19semidirect
1018. #484C22×C19semidirect
1019. #483C22×C19semidirect
1020. #483C22×C19semidirect
1021. #481C22×C19semidirect
1022. #481C22×C19semidirect
1023. #480C22×C19semidirect
1024. #480C22×C19semidirect
1025. #479C22×C19semidirect
1026. #479C22×C19semidirect
1027. #478C22×C19semidirect
1028. #478C22×C19semidirect
1031. #470C22×C19semidirect
1032. #469C22×C19semidirect
1035. #468C22×C19semidirect
1036. #468C22×C19semidirect
1037. #467C22×C19semidirect
1038. #467C22×C19semidirect
1039. #467C22×C19semidirect
1040. #466C22×C19semidirect
1041. #465C22×C19semidirect
1042. #465C22×C19semidirect
1043. #465C22×C19semidirect
1044. #465C22×C19semidirect
1045. #464C22×C19semidirect
1046. #464C22×C19semidirect
1047. #463C22×C19semidirect
1048. #463C22×C19semidirect
1049. #462C22×C19semidirect
1050. #462C22×C19semidirect
1051. #462C22×C19semidirect
1052. #461C22×C19semidirect
1053. #461C22×C19semidirect
1054. #461C22×C19semidirect
1055. #460C22×C19semidirect
1056. #459C22×C19semidirect
1065. #452C22×C19semidirect
1066. #452C22×C19semidirect
1067. #452C22×C19semidirect
1068. #452C22×C19semidirect
1069. #452C22×C19semidirect
1070. #452C22×C19semidirect
1072. #451C22×C19semidirect
1073. #451C22×C19semidirect
1074. #451C22×C19semidirect
1075. #451C22×C19semidirect
1083. #449C22×C19semidirect
1084. #449C22×C19semidirect
1085. #449C22×C19semidirect
1086. #449C22×C19semidirect
1088. #448C22×C19semidirect
1089. #448C22×C19semidirect
1090. #448C22×C19semidirect
1091. #448C22×C19semidirect
1093. #442C22×C19semidirect
1094. #441C22×C19semidirect
1095. #440C22×C19semidirect
1096. #440C22×C19semidirect
1097. C4×Q16C22×C19semidirect
1098. C4×SD16C22×C19semidirect
1099. C4×SD16C22×C19semidirect
1100. C4×D8C22×C19semidirect
1105. #435C22×C19semidirect
1106. #435C22×C19semidirect
1107. C8×D4C22×C19semidirect
1108. C8×D4C22×C19semidirect
1109. #433C22×C19semidirect
1110. #433C22×C19semidirect
1113. #417C22×C19semidirect
1114. #417C22×C19semidirect
1117. C2×#103C22×C19semidirect
1118. C2×#103C22×C19semidirect
1119. #408C22×C19semidirect
1120. #408C22×C19semidirect
1422. C19#61626direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35392
C19×#34892
C19×#33232
C19×#33222
C19×#33202
C19×#33152
C19×#33122
C19×#33072
C19×#33012
C19×#33002
C19×#32842
C19×#32832
C19×#32782
C19×#32762
C19×#32712
C19×#32692
C19×#32682
C19×#32672
C19×#32232
C19×#32212
C19×#32042
C19×#32032
C19×#31962
C19×#31902
C19×#31202
C19×#31192
C19×#30132
C19×#30052
C19×#30022
C19×#29762
#6162619