Finite Group Databasebeta

← C19×#62892 #18068851

Subgroups — C19×#62892 #18068851

Order 4864.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3558C212yesmaximal, complemented
2C19×#3543C214yesmaximal, complemented
3C19×#3542C214yesmaximal, complemented
4C19×#3537C214yesmaximal, complemented
5C19×#3537C212yesmaximal, complemented
6C19×#3534C218yesmaximal, complemented
7C19×#3534C214yesmaximal, complemented
8C19×#3532C218yesmaximal, complemented
9C19×#3519C212yesmaximal, complemented
10C19×#3513C214yesmaximal, complemented
11C19×#3505C212yesmaximal, complemented
12C19×#3496C211yesmaximal, characteristic, complemented
13C19×#3490C212yesmaximal, complemented
14C19×#3488C212yesmaximal, complemented
15C19×#3484C214yesmaximal, complemented
16C19×#3484C214yesmaximal, complemented
17C2×C19×#546C211yesmaximal, characteristic, complemented
18C2×D42×C19C212yesmaximal, complemented
19C19×#3459C211yesmaximal, characteristic, complemented
20C2×C19×#534C212yesmaximal, complemented
21C2×C19×H(5,𝔽2)C2212yescomplemented
22C2×C19×H(5,𝔽2)C2212yescomplemented
23C22×#41×C19C2211yescharacteristic, complemented
24C23×D4×C19C2211yescharacteristic, complemented
25C23×D4×C19C2214yescomplemented
26C23×D4×C19C2212yescomplemented
27C19×#562C2218yescomplemented
28C19×#562C2214yescomplemented
29C19×H(3,𝔽4)C2214yescomplemented
30C19×#560C2218yescomplemented
31C19×#560C2218yescomplemented
32C19×#560C2218yescomplemented
33C19×#560C2218yescomplemented
34C19×#559C2214yescomplemented
35C19×#555C2212yescomplemented
36C19×#554C2212yescomplemented
37C19×#553C2218yescomplemented
38C19×#553C2214yescomplemented
39C19×#553C2214yescomplemented
40C19×#553C2218yescomplemented
41C19×#553C2214yescomplemented
42C19×#552C2214yescomplemented
43C19×#551C2218yescomplemented
44C19×#551C2218yescomplemented
45C19×#551C2218yescomplemented
46C19×#551C2218yescomplemented
47C19×#550C2214yescomplemented
48C19×#550C2212yescomplemented
49C19×#548C2214yescomplemented
50C19×#547C2214yescomplemented
51C19×#546C2214yescomplemented
52C19×#546C2214yescomplemented
53C19×#546C2214yescomplemented
54C19×#546C2218yescomplemented
55C19×#546C2218yescomplemented
56C19×#546C2218yescomplemented
57C19×#546C2218yescomplemented
58C19×#546C2218yescomplemented
59C19×#546C2214yescomplemented
60C19×#546C2218yescomplemented
61C19×#546C2218yescomplemented
62C19×#546C2214yescomplemented
63C19×#546C2218yescomplemented
64C19×#546C2218yescomplemented
65C19×#546C2218yescomplemented
66C19×#546C2214yescomplemented
67D42×C19C2214yescomplemented
68D42×C19C2218yescomplemented
69D42×C19C2214yescomplemented
70D42×C19C2214yescomplemented
71D42×C19C2212yescomplemented
72D42×C19C2218yescomplemented
73D42×C19C2218yescomplemented
74D42×C19C2218yescomplemented
75D42×C19C2218yescomplemented
76D42×C19C2214yescomplemented
77D42×C19C2214yescomplemented
78D42×C19C2214yescomplemented
79D42×C19C2218yescomplemented
80D42×C19C2218yescomplemented
81C19×#543C2211yescharacteristic, complemented
82C19×#542C2214yescomplemented
83C19×#540C2214yescomplemented
84C19×#540C2214yescomplemented
85C19×#540C2218yescomplemented
86C19×#540C2218yescomplemented
87C19×#539C2214yescomplemented
88C19×#539C2212yescomplemented
89C19×#539C2214yescomplemented
90C19×#539C2218yescomplemented
91C19×#538C2214yescomplemented
92C19×#538C2218yescomplemented
93C19×#538C2212yescomplemented
94C19×#538C2214yescomplemented
95C19×#538C2214yescomplemented
96C19×#538C2214yescomplemented
97C19×#538C2218yescomplemented
98C19×#538C2218yescomplemented
99C19×#538C2218yescomplemented
100C19×#538C2214yescomplemented
101C19×#537C2214yescomplemented
102C19×#537C2212yescomplemented
103C19×#537C2212yescomplemented
104C19×#535C2218yescomplemented
105C19×#535C2214yescomplemented
106C19×#535C2214yescomplemented
107C19×#535C2214yescomplemented
108C19×#535C2212yescomplemented
109C19×#535C2218yescomplemented
110C19×#534C2211yescharacteristic, complemented
111C19×#534C2214yescomplemented
112C19×#534C2212yescomplemented
113C19×#534C2212yescomplemented
114C19×#534C2218yescomplemented
115C19×#534C2218yescomplemented
116C19×#534C2218yescomplemented
117C19×#534C2218yescomplemented
118C19×#534C2214yescomplemented
119C19×#534C2214yescomplemented
120C19×#534C2218yescomplemented
121C19×#534C2212yescomplemented
122C19×#534C2214yescomplemented
123C19×#532C2212yescomplemented
124C2×C19×#127C2212yescomplemented
125C19×#529C2214yescomplemented
126C19×#529C2212yescomplemented
127C19×#529C2214yescomplemented
128C2×C19×#124C2211yescharacteristic, complemented
129C19×#525C2214yescomplemented
130C19×#525C2218yescomplemented
131C19×#525C2212yescomplemented
132C19×#525C2214yescomplemented
133C19×#525C2214yescomplemented
134C19×#525C2214yescomplemented
135C2×C19×#123C2218yescomplemented
136C2×C19×#123C2212yescomplemented
137C2×C19×C22⋊Q8C2211yescharacteristic, complemented
138C2×C19×#121C2212yescomplemented
139C2×C19×#121C2214yescomplemented
140C2×C19×#121C2212yescomplemented
141C2×C19×#121C2214yescomplemented
142C2×C19×#121C2214yescomplemented
143C2×C19×#121C2211yescharacteristic, complemented
144C2×C19×#121C2212yescomplemented
145C2×C19×#121C2212yescomplemented
146C2×C19×#120C2214yescomplemented
147C2×C19×#120C2212yescomplemented
148C2×C19×#120C2218yescomplemented
149C2×C19×#120C2214yescomplemented
150C2×C19×#120C2218yescomplemented
151C19×#520C2212yescomplemented
152C19×#518C2214yescomplemented
153C19×#518C2214yescomplemented
154C2×C4×D4×C19C2212yescomplemented
155C2×C4×D4×C19C2211yescharacteristic, complemented
156C2×C4×D4×C19C2212yescomplemented
157C2×C4×D4×C19C2211yescharacteristic, complemented
158C22×C22⋊C4×C19C2212yescomplemented
159C25×C19C2312yes—
160C25×C19C2314yescomplemented
161C19×H(5,𝔽2)—48no—
162C19×H(5,𝔽2)—48no—
163C2×#41×C19—44no—
164C2×#41×C19C2312yes—
165C2×#41×C19C2312yescomplemented
166C2×#41×C19C2318yescomplemented
167C2×#41×C19C2314yescomplemented
168C2×#41×C19C2314yescomplemented
169C2×#41×C19C2314yescomplemented
170C2×#41×C19C2314yescomplemented
171C2×#41×C19C2312yescomplemented
172C2×#41×C19C2314yescomplemented
173C22×Q8×C19C2311yescharacteristic, complemented
174C22×D4×C19—44no—
175C22×D4×C19—48no—
176C22×D4×C19—416no—
177C22×D4×C19C2311yescharacteristic
178C22×D4×C19C2312yes—
179C22×D4×C19C2311yescharacteristic
180C22×D4×C19C2312yes—
181C22×D4×C19C2314yes—
182C22×D4×C19C2314yes—
183C22×D4×C19C2314yes—
184C22×D4×C19C2318yes—
185C22×D4×C19C2312yes—
186C22×D4×C19C2311yescharacteristic
187C22×D4×C19C2312yes—
188C22×D4×C19C2318yes—
189C22×D4×C19C2314yescomplemented
190C22×D4×C19C2314yescomplemented
191C22×D4×C19C2312yescomplemented
192C22×D4×C19C2314yescomplemented
193C22×D4×C19C2318yescomplemented
194C22×D4×C19C2318yescomplemented
195C22×D4×C19C2318yescomplemented
196C22×D4×C19C2314yescomplemented
197C22×D4×C19C2312yescomplemented
198C22×D4×C19C2314yescomplemented
199C22×D4×C19C2312yescomplemented
200C22×D4×C19C2318yescomplemented
201C22×D4×C19C2318yescomplemented
202C22×D4×C19C2314yescomplemented
203C22×D4×C19C2314yescomplemented
204C22×D4×C19C2314yescomplemented
205C22×D4×C19C2312yescomplemented
206C22×D4×C19C2318yescomplemented
207C23×C4×C19C2311yescharacteristic
208C23×C4×C19C2312yescomplemented
209C23×C4×C19C2311yescharacteristic, complemented
210C23×C4×C19C2314yescomplemented
211C23×C4×C19C2312yescomplemented
212C23×C4×C19C2312yescomplemented
213C19×C4⋊Q8C2312yescomplemented
214C19×#127C2314yes—
215C19×#127C2314yescomplemented
216C19×#127C2318yescomplemented
217C19×#127C2312yescomplemented
218C19×#127C2318yescomplemented
219C19×#127C2318yescomplemented
220C19×#126C2314yescomplemented
221C19×#126C2314yescomplemented
222C19×#126C2318yescomplemented
223C19×#126C2314yescomplemented
224C19×#126C2318yescomplemented
225C19×#126C2318yescomplemented
226C19×#126C2318yescomplemented
227C19×#126C2318yescomplemented
228C19×#125C2314yescomplemented
229C19×#125C2312yescomplemented
230C19×#125C2314yescomplemented
231C19×#125C2318yescomplemented
232C19×#124C2314yescomplemented
233C19×#124C2314yescomplemented
234C19×#124C2314yescomplemented
235C19×#124C2314yescomplemented
236C19×#124C2312yescomplemented
237C19×#124C2314yescomplemented
238C19×#124C2318yescomplemented
239C19×#124C2318yescomplemented
240C19×#124C2318yescomplemented
241C19×#124C2318yescomplemented
242C19×#124C2318yescomplemented
243C19×#123C2314yes—
244C19×#123C2318yes—
245C19×#123C2318yescomplemented
246C19×#123C2318yescomplemented
247C19×#123C2318yescomplemented
248C19×#123C2318yescomplemented
249C19×#123C2318yescomplemented
250C19×#123C2318yescomplemented
251C19×#123C2318yescomplemented
252C19×#123C2318yescomplemented
253C19×#123C2314yescomplemented
254C19×#123C2314yescomplemented
255C19×#123C2314yescomplemented
256C19×#123C2318yescomplemented
257C19×#123C2318yescomplemented
258C19×#123C2314yescomplemented
259C19×#123C2318yescomplemented
260C19×#123C2314yescomplemented
261C19×#123C2318yescomplemented
262C19×#123C2318yescomplemented
263C19×#123C2318yescomplemented
264C19×#123C2318yescomplemented
265C19×#123C2318yescomplemented
266C19×#123C2318yescomplemented
267C19×#123C2318yescomplemented
268C19×C22⋊Q8C2314yescomplemented
269C19×C22⋊Q8C2314yescomplemented
270C19×C22⋊Q8C2312yescomplemented
271C19×C22⋊Q8C2312yescomplemented
272C19×C22⋊Q8C2312yescomplemented
273C19×C22⋊Q8C2314yescomplemented
274C19×C22⋊Q8C2314yescomplemented
275C19×C22⋊Q8C2314yescomplemented
276C19×C22⋊Q8C2318yescomplemented
277C19×C22⋊Q8C2314yescomplemented
278C19×C22⋊Q8C2318yescomplemented
279C19×C22⋊Q8C2314yescomplemented
280C19×C22⋊Q8C2314yescomplemented
281C19×C22⋊Q8C2318yescomplemented
282C19×C22⋊Q8C2318yescomplemented
283C19×#121C2312yes—
284C19×#121C2312yes—
285C19×#121C2314yes—
286C19×#121C2318yes—
287C19×#121C2314yes—
288C19×#121C2314yes—
289C19×#121C2314yes—
290C19×#121C2314yes—
291C19×#121C2314yescomplemented
292C19×#121C2314yescomplemented
293C19×#121C2314yescomplemented
294C19×#121C2314yescomplemented
295C19×#121C2314yescomplemented
296C19×#121C2318yescomplemented
297C19×#121C2318yescomplemented
298C19×#121C2318yescomplemented
299C19×#121C2318yescomplemented
300C19×#121C2314yescomplemented
301C19×#121C2314yescomplemented
302C19×#121C2314yescomplemented
303C19×#121C2318yescomplemented
304C19×#121C2314yescomplemented
305C19×#121C2314yescomplemented
306C19×#121C2314yescomplemented
307C19×#121C2314yescomplemented
308C19×#121C2318yescomplemented
309C19×#121C2318yescomplemented
310C19×#121C2314yescomplemented
311C19×#121C2318yescomplemented
312C19×#121C2318yescomplemented
313C19×#121C2318yescomplemented
314C19×#121C2312yescomplemented
315C19×#121C2314yescomplemented
316C19×#121C2318yescomplemented
317C19×#121C2314yescomplemented
318C19×#121C2314yescomplemented
319C19×#121C2314yescomplemented
320C19×#121C2318yescomplemented
321C19×#121C2318yescomplemented
322C19×#121C2318yescomplemented
323C19×#121C2318yescomplemented
324C19×#121C2318yescomplemented
325C19×#121C2318yescomplemented
326C19×#121C2318yescomplemented
327C19×#121C2318yescomplemented
328C19×#121C2318yescomplemented
329C19×#121C2318yescomplemented
330C19×#121C2318yescomplemented
331C19×#121C2318yescomplemented
332C19×#121C2318yescomplemented
333C19×#120C2314yes—
334C19×#120C2318yes—
335C19×#120C2318yes—
336C19×#120C2318yes—
337C19×#120C2318yes—
338C19×#120C2318yescomplemented
339C19×#120C2314yescomplemented
340C19×#120C2318yescomplemented
341C19×#120C2318yescomplemented
342C19×#120C2318yescomplemented
343C19×#120C2318yescomplemented
344C19×#120C2318yescomplemented
345C19×#120C2318yescomplemented
346C19×#120C2318yescomplemented
347C19×#120C2318yescomplemented
348C19×#120C2318yescomplemented
349C19×#120C2318yescomplemented
350C19×#120C2318yescomplemented
351C19×#120C2318yescomplemented
352C19×#120C2318yescomplemented
353C19×#120C2318yescomplemented
354C19×#120C2318yescomplemented
355C19×#120C2318yescomplemented
356C19×#120C2314yescomplemented
357C19×#120C2318yescomplemented
358C19×#120C2318yescomplemented
359C19×#120C2318yescomplemented
360C4×Q8×C19C2314yescomplemented
361C4×Q8×C19C2312yescomplemented
362C4×D4×C19C2312yes—
363C4×D4×C19C2314yes—
364C4×D4×C19C2314yes—
365C4×D4×C19C2314yes—
366C4×D4×C19C2314yescomplemented
367C4×D4×C19C2314yescomplemented
368C4×D4×C19C2314yescomplemented
369C4×D4×C19C2318yescomplemented
370C4×D4×C19C2314yescomplemented
371C4×D4×C19C2314yescomplemented
372C4×D4×C19C2312yescomplemented
373C4×D4×C19C2314yescomplemented
374C4×D4×C19C2318yescomplemented
375C4×D4×C19C2318yescomplemented
376C4×D4×C19C2318yescomplemented
377C4×D4×C19C2318yescomplemented
378C4×D4×C19C2318yescomplemented
379C4×D4×C19C2318yescomplemented
380C4×D4×C19C2314yescomplemented
381C4×D4×C19C2314yescomplemented
382C4×D4×C19C2318yescomplemented
383C4×D4×C19C2312yescomplemented
384C4×D4×C19C2314yescomplemented
385C4×D4×C19C2318yescomplemented
386C4×D4×C19C2318yescomplemented
387C4×D4×C19C2318yescomplemented
388C4×D4×C19C2318yescomplemented
389C4×D4×C19C2314yescomplemented
390C19×#117C2314yescomplemented
391C19×#117C2318yescomplemented
392C19×#117C2314yescomplemented
393C19×#117C2312yescomplemented
394C19×#117C2314yescomplemented
395C19×#117C2314yescomplemented
396C19×#117C2318yescomplemented
397C2×C4⋊C4×C19C2312yescomplemented
398C2×C4⋊C4×C19C2312yescomplemented
399C2×C4⋊C4×C19C2311yescharacteristic, complemented
400C2×C4⋊C4×C19C2311yescharacteristic, complemented
401C2×C4⋊C4×C19C2314yescomplemented
402C2×C4⋊C4×C19C2312yescomplemented
403C2×C4⋊C4×C19C2312yescomplemented
404C2×C4⋊C4×C19C2314yescomplemented
405C2×C22⋊C4×C19C2311yescharacteristic
406C2×C22⋊C4×C19C2312yes—
407C2×C22⋊C4×C19C2312yes—
408C2×C22⋊C4×C19C2318yescomplemented
409C2×C22⋊C4×C19C2312yescomplemented
410C2×C22⋊C4×C19C2312yescomplemented
411C2×C22⋊C4×C19C2318yescomplemented
412C2×C22⋊C4×C19C2312yescomplemented
413C2×C22⋊C4×C19C2314yescomplemented
414C2×C22⋊C4×C19C2312yescomplemented
415C2×C22⋊C4×C19C2311yescharacteristic, complemented
416C2×C22⋊C4×C19C2318yescomplemented
417C2×C22⋊C4×C19C2318yescomplemented
418C2×C22⋊C4×C19C2318yescomplemented
419C2×C22⋊C4×C19C2314yescomplemented
420C2×C22⋊C4×C19C2314yescomplemented
421C2×C22⋊C4×C19C2318yescomplemented
422C2×C22⋊C4×C19C2312yescomplemented
423C2×C22⋊C4×C19C2318yescomplemented
424C2×C22⋊C4×C19C2314yescomplemented
425C2×C42×C19C2311yescharacteristic, complemented
426C2×C42×C19C2312yescomplemented
427C24×C19—28no—
428C24×C19—44no—
429C24×C19—48no—
430C24×C19—48no—
431C24×C19—82no—
432C24×C19—84no—
433C24×C19C2414yes—
434C24×C19C2412yes—
435C24×C19C2414yes—
436C24×C19C2414yes—
437C24×C19C2418yes—
438C24×C19C2412yes—
439C24×C19C2412yes—
440C24×C19C2411yescharacteristic
441C24×C19C2418yes—
442C24×C19C2414yes—
443C24×C19C2411yescharacteristic
444#41×C19—28no—
445#41×C19—44no—
446#41×C19—48no—
447#41×C19—416no—
448#41×C19—48no—
449#41×C19—48no—
450#41×C19—44no—
451#41×C19—48no—
452#41×C19—84no—
453C2×Q8×C19—42no—
454C2×Q8×C19C2412yes—
455C2×Q8×C19C2412yes—
456C2×Q8×C19C2412yes—
457C2×Q8×C19C2412yes—
458C2×Q8×C19C2414yes—
459C2×D4×C19—28no—
460C2×D4×C19—216no—
461C2×D4×C19—24no—
462C2×D4×C19—28no—
463C2×D4×C19—24no—
464C2×D4×C19—216no—
465C2×D4×C19—44no—
466C2×D4×C19—42no—
467C2×D4×C19—44no—
468C2×D4×C19—48no—
469C2×D4×C19—44no—
470C2×D4×C19—48no—
471C2×D4×C19—48no—
472C2×D4×C19—48no—
473C2×D4×C19—44no—
474C2×D4×C19—416no—
475C2×D4×C19—416no—
476C2×D4×C19—48no—
477C2×D4×C19—416no—
478C2×D4×C19—416no—
479C2×D4×C19—416no—
480C2×D4×C19—48no—
481C2×D4×C19—44no—
482C2×D4×C19—48no—
483C2×D4×C19—416no—
484C2×D4×C19—416no—
485C2×D4×C19—82no—
486C2×D4×C19—84no—
487C2×D4×C19—84no—
488C2×D4×C19—88no—
489C2×D4×C19C2414yes—
490C2×D4×C19C2418yes—
491C2×D4×C19C2414yes—
492C2×D4×C19C2418yes—
493C2×D4×C19C2414yes—
494C2×D4×C19C2412yes—
495C2×D4×C19C2414yes—
496C2×D4×C19C2418yes—
497C2×D4×C19C2414yes—
498C2×D4×C19C2412yes—
499C2×D4×C19C2414yes—
500C2×D4×C19C2411yescharacteristic
501C2×D4×C19C2412yes—
502C2×D4×C19C2418yes—
503C2×D4×C19C2418yes—
504C2×D4×C19C2418yes—
505C2×D4×C19C2414yes—
506C2×D4×C19C2414yes—
507C2×D4×C19C2418yes—
508C2×D4×C19C2412yes—
509C2×D4×C19C2418yes—
510C2×D4×C19C2418yes—
511C2×D4×C19C2418yes—
512C2×D4×C19C2414yes—
513C2×D4×C19C2414yes—
514C2×D4×C19C2412yes—
515C2×D4×C19C2414yes—
516C2×D4×C19C2414yes—
517C2×D4×C19C2418yes—
518C2×D4×C19C2418yes—
519C2×D4×C19C2414yes—
520C2×D4×C19C2418yes—
521C2×D4×C19C2414yes—
522C2×D4×C19C2418yes—
523C2×D4×C19C2411yescharacteristic
524C22×C4×C19—42no—
525C22×C4×C19—44no—
526C22×C4×C19—42no—
527C22×C4×C19—48no—
528C22×C4×C19—44no—
529C22×C4×C19—82no—
530C22×C4×C19C2411yescharacteristic
531C22×C4×C19C2412yes—
532C22×C4×C19C2411yescharacteristic
533C22×C4×C19C2412yes—
534C22×C4×C19C2414yes—
535C22×C4×C19C2414yes—
536C22×C4×C19C2412yes—
537C22×C4×C19C2414yes—
538C22×C4×C19C2412yes—
539C22×C4×C19C2411yescharacteristic
540C22×C4×C19C2412yes—
541C22×C4×C19C2412yes—
542C22×C4×C19C2412yes—
543C22×C4×C19C2411yescharacteristic
544C22×C4×C19C2414yes—
545C22×C4×C19C2412yes—
546C22×C4×C19C2418yes—
547C22×C4×C19C2418yes—
548C22×C4×C19C2414yes—
549C22×C4×C19C2418yes—
550C22×C4×C19C2418yes—
551C22×C4×C19C2414yes—
552C22×C4×C19C2412yes—
553C22×C4×C19C2411yescharacteristic
554C22×C4×C19C2414yes—
555C22×C4×C19C2414yes—
556C22×C4×C19C2418yes—
557C4⋊C4×C19C2414yes—
558C4⋊C4×C19C2412yes—
559C4⋊C4×C19C2414yes—
560C4⋊C4×C19C2412yes—
561C4⋊C4×C19C2412yes—
562C4⋊C4×C19C2418yes—
563C4⋊C4×C19C2418yes—
564C4⋊C4×C19C2414yes—
565C4⋊C4×C19C2414yes—
566C4⋊C4×C19C2414yes—
567C4⋊C4×C19C2414yes—
568C4⋊C4×C19C2414yes—
569C4⋊C4×C19C2412yes—
570C4⋊C4×C19C2418yes—
571C4⋊C4×C19C2412yes—
572C4⋊C4×C19C2412yes—
573C4⋊C4×C19C2414yes—
574C4⋊C4×C19C2418yes—
575C4⋊C4×C19C2414yes—
576C4⋊C4×C19C2418yes—
577C4⋊C4×C19C2414yes—
578C4⋊C4×C19C2414yes—
579C22⋊C4×C19C2414yes—
580C22⋊C4×C19C2418yes—
581C22⋊C4×C19C2414yes—
582C22⋊C4×C19C2414yes—
583C22⋊C4×C19C2414yes—
584C22⋊C4×C19C2418yes—
585C22⋊C4×C19C2418yes—
586C22⋊C4×C19C2418yes—
587C22⋊C4×C19C2414yes—
588C22⋊C4×C19C2414yes—
589C22⋊C4×C19C2418yes—
590C22⋊C4×C19C2418yes—
591C22⋊C4×C19C2414yes—
592C22⋊C4×C19C2414yes—
593C22⋊C4×C19C2418yes—
594C22⋊C4×C19C2418yes—
595C22⋊C4×C19C2418yes—
596C22⋊C4×C19C2418yes—
597C22⋊C4×C19C2418yes—
598C22⋊C4×C19C2418yes—
599C22⋊C4×C19C2418yes—
600C22⋊C4×C19C2414yes—
601C22⋊C4×C19C2414yes—
602C22⋊C4×C19C2418yes—
603C22⋊C4×C19C2418yes—
604C22⋊C4×C19C2418yes—
605C22⋊C4×C19C2418yes—
606C22⋊C4×C19C2418yes—
607C22⋊C4×C19C2414yes—
608C22⋊C4×C19C2414yes—
609C22⋊C4×C19C2414yes—
610C22⋊C4×C19C2414yes—
611C42×C19C2414yes—
612C42×C19C2412yes—
613C42×C19C2414yes—
614C42×C19C2412yes—
615C42×C19C2418yes—
616C42×C19C2418yes—
617#62892C1911yesmaximal, characteristic, direct product factor, Sylow
618C23×C19—24no—
619C23×C19—28no—
620C23×C19—28no—
621C23×C19—24no—
622C23×C19—24no—
623C23×C19—22no—
624C23×C19—216no—
625C23×C19—28no—
626C23×C19—24no—
627C23×C19—28no—
628C23×C19—41no—
629C23×C19—42no—
630C23×C19—42no—
631C23×C19—41no—
632C23×C19—44no—
633C23×C19—42no—
634C23×C19—41no—
635C23×C19—42no—
636C23×C19—44no—
637C23×C19—44no—
638C23×C19—48no—
639C23×C19—48no—
640C23×C19—48no—
641C23×C19—41no—
642C23×C19—42no—
643C23×C19—48no—
644C23×C19—44no—
645C23×C19—44no—
646C23×C19—48no—
647C23×C19—44no—
648C23×C19—44no—
649C23×C19—44no—
650C23×C19—816no—
651C23×C19—832no—
652C23×C19H(5,𝔽2)14yescomplemented
653C23×C19C2514yes—
654C23×C19C2514yes—
655C23×C19C2518yes—
656C23×C19C2512yes—
657C23×C19C2512yes—
658C23×C19C2512yes—
659C23×C19C2512yes—
660C23×C19C2511yescharacteristic
661Q8×C19—24no—
662Q8×C19—42no—
663Q8×C19—42no—
664Q8×C19—44no—
665Q8×C19—42no—
666D4×C19—28no—
667D4×C19—28no—
668D4×C19—28no—
669D4×C19—216no—
670D4×C19—216no—
671D4×C19—216no—
672D4×C19—28no—
673D4×C19—24no—
674D4×C19—28no—
675D4×C19—24no—
676D4×C19—28no—
677D4×C19—22no—
678D4×C19—44no—
679D4×C19—48no—
680D4×C19—44no—
681D4×C19—48no—
682D4×C19—48no—
683D4×C19—48no—
684D4×C19—48no—
685D4×C19—42no—
686D4×C19—42no—
687D4×C19—44no—
688D4×C19—44no—
689D4×C19—48no—
690D4×C19—44no—
691D4×C19—48no—
692D4×C19—44no—
693D4×C19—48no—
694D4×C19—48no—
695D4×C19—42no—
696D4×C19—48no—
697D4×C19—44no—
698D4×C19—44no—
699D4×C19—48no—
700D4×C19H(5,𝔽2)14yescomplemented
701C2×C4×C19—24no—
702C2×C4×C19—28no—
703C2×C4×C19—28no—
704C2×C4×C19—22no—
705C2×C4×C19—24no—
706C2×C4×C19—22no—
707C2×C4×C19—28no—
708C2×C4×C19—24no—
709C2×C4×C19—41no—
710C2×C4×C19—41no—
711C2×C4×C19—48no—
712C2×C4×C19—44no—
713C2×C4×C19—48no—
714C2×C4×C19—42no—
715C2×C4×C19—42no—
716C2×C4×C19—42no—
717C2×C4×C19—42no—
718C2×C4×C19—44no—
719C2×C4×C19—41no—
720C2×C4×C19—42no—
721C2×C4×C19—44no—
722C2×C4×C19—44no—
723C2×C4×C19—44no—
724C2×C4×C19—48no—
725C2×C4×C19—48no—
726C2×C4×C19—42no—
727C2×C4×C19—48no—
728C2×C4×C19C2514yes—
729C2×C4×C19C2512yes—
730C2×C4×C19C2514yes—
731C2×C4×C19C2512yes—
732C2×C4×C19C2511yescharacteristic
733C2×C4×C19C2514yes—
734C2×C4×C19C2514yes—
735C2×C4×C19C2518yes—
736C2×C4×C19C2514yes—
737C2×C4×C19C2512yes—
738C2×C4×C19C2512yes—
739C2×C4×C19C2511yescharacteristic
740#3558C2×C1912yescomplemented
741#3543C2×C1914yescomplemented
742#3542C2×C1914yescomplemented
743#3537C2×C1914yescomplemented
744#3537C2×C1912yescomplemented
745#3534C2×C1918yescomplemented
746#3534C2×C1914yescomplemented
747#3532C2×C1918yescomplemented
748#3519C2×C1912yescomplemented
749#3513C2×C1914yescomplemented
750#3505C2×C1912yescomplemented
751#3496C2×C1911yescharacteristic, complemented
752#3490C2×C1912yescomplemented
753#3488C2×C1912yescomplemented
754#3484C2×C1914yescomplemented
755#3484C2×C1914yescomplemented
756C2×#546C2×C1911yescharacteristic, complemented
757C2×D42C2×C1912yescomplemented
758#3459C2×C1911yescharacteristic, complemented
759C2×#534C2×C1912yescomplemented
760C22×C19—21no—
761C22×C19—22no—
762C22×C19—22no—
763C22×C19—21no—
764C22×C19—22no—
765C22×C19—22no—
766C22×C19—22no—
767C22×C19—24no—
768C22×C19—22no—
769C22×C19—22no—
770C22×C19—24no—
771C22×C19—28no—
772C22×C19—28no—
773C22×C19—24no—
774C22×C19—24no—
775C22×C19—22no—
776C22×C19—22no—
777C22×C19—28no—
778C22×C19—22no—
779C22×C19—24no—
780C22×C19—24no—
781C22×C19—44no—
782C22×C19—48no—
783C22×C19—416no—
784C22×C19—48no—
785C22×C19—82no—
786C22×C19—88no—
787C22×C19—88no—
788C22×C19—816no—
789C22×C19—84no—
790C22×C19—816no—
791C22×C19—164no—
792C22×C19C2×H(5,𝔽2)14yes—
793C22×C19C2×H(5,𝔽2)14yes—
794C22×C19C2×H(5,𝔽2)12yes—
795C22×C19C2611yescharacteristic
796C4×C19—22no—
797C4×C19—24no—
798C4×C19—22no—
799C4×C19—28no—
800C4×C19—24no—
801C4×C19—22no—
802C4×C19—21no—
803C4×C19—24no—
804C4×C19—24no—
805C4×C19—22no—
806C4×C19—24no—
807C4×C19C2×H(5,𝔽2)12yes—
808C2×H(5,𝔽2)C22×C1912yescomplemented
809C2×H(5,𝔽2)C22×C1912yescomplemented
810C22×#41C22×C1911yescharacteristic, complemented
811C23×D4C22×C1911yescharacteristic, complemented
812C23×D4C22×C1914yescomplemented
813C23×D4C22×C1912yescomplemented
814#562C22×C1918yescomplemented
815#562C22×C1914yescomplemented
816H(3,𝔽4)C22×C1914yescomplemented
817#560C22×C1918yescomplemented
818#560C22×C1918yescomplemented
819#560C22×C1918yescomplemented
820#560C22×C1918yescomplemented
821#559C22×C1914yescomplemented
822#555C22×C1912yescomplemented
823#554C22×C1912yescomplemented
824#553C22×C1918yescomplemented
825#553C22×C1914yescomplemented
826#553C22×C1914yescomplemented
827#553C22×C1918yescomplemented
828#553C22×C1914yescomplemented
829#552C22×C1914yescomplemented
830#551C22×C1918yescomplemented
831#551C22×C1918yescomplemented
832#551C22×C1918yescomplemented
833#551C22×C1918yescomplemented
834#550C22×C1914yescomplemented
835#550C22×C1912yescomplemented
836#548C22×C1914yescomplemented
837#547C22×C1914yescomplemented
838#546C22×C1914yescomplemented
839#546C22×C1914yescomplemented
840#546C22×C1914yescomplemented
841#546C22×C1918yescomplemented
842#546C22×C1918yescomplemented
843#546C22×C1918yescomplemented
844#546C22×C1918yescomplemented
845#546C22×C1918yescomplemented
846#546C22×C1914yescomplemented
847#546C22×C1918yescomplemented
848#546C22×C1918yescomplemented
849#546C22×C1914yescomplemented
850#546C22×C1918yescomplemented
851#546C22×C1918yescomplemented
852#546C22×C1918yescomplemented
853#546C22×C1914yescomplemented
854D42C22×C1914yescomplemented
855D42C22×C1918yescomplemented
856D42C22×C1914yescomplemented
857D42C22×C1914yescomplemented
858D42C22×C1912yescomplemented
859D42C22×C1918yescomplemented
860D42C22×C1918yescomplemented
861D42C22×C1918yescomplemented
862D42C22×C1918yescomplemented
863D42C22×C1914yescomplemented
864D42C22×C1914yescomplemented
865D42C22×C1914yescomplemented
866D42C22×C1918yescomplemented
867D42C22×C1918yescomplemented
868#543C22×C1911yescharacteristic, complemented
869#542C22×C1914yescomplemented
870#540C22×C1914yescomplemented
871#540C22×C1914yescomplemented
872#540C22×C1918yescomplemented
873#540C22×C1918yescomplemented
874#539C22×C1914yescomplemented
875#539C22×C1912yescomplemented
876#539C22×C1914yescomplemented
877#539C22×C1918yescomplemented
878#538C22×C1914yescomplemented
879#538C22×C1918yescomplemented
880#538C22×C1912yescomplemented
881#538C22×C1914yescomplemented
882#538C22×C1914yescomplemented
883#538C22×C1914yescomplemented
884#538C22×C1918yescomplemented
885#538C22×C1918yescomplemented
886#538C22×C1918yescomplemented
887#538C22×C1914yescomplemented
888#537C22×C1914yescomplemented
889#537C22×C1912yescomplemented
890#537C22×C1912yescomplemented
891#535C22×C1918yescomplemented
892#535C22×C1914yescomplemented
893#535C22×C1914yescomplemented
894#535C22×C1914yescomplemented
895#535C22×C1912yescomplemented
896#535C22×C1918yescomplemented
897#534C22×C1911yescharacteristic, complemented
898#534C22×C1914yescomplemented
899#534C22×C1912yescomplemented
900#534C22×C1912yescomplemented
901#534C22×C1918yescomplemented
902#534C22×C1918yescomplemented
903#534C22×C1918yescomplemented
904#534C22×C1918yescomplemented
905#534C22×C1914yescomplemented
906#534C22×C1914yescomplemented
907#534C22×C1918yescomplemented
908#534C22×C1912yescomplemented
909#534C22×C1914yescomplemented
910#532C22×C1912yescomplemented
911C2×#127C22×C1912yescomplemented
912#529C22×C1914yescomplemented
913#529C22×C1912yescomplemented
914#529C22×C1914yescomplemented
915C2×#124C22×C1911yescharacteristic, complemented
916#525C22×C1914yescomplemented
917#525C22×C1918yescomplemented
918#525C22×C1912yescomplemented
919#525C22×C1914yescomplemented
920#525C22×C1914yescomplemented
921#525C22×C1914yescomplemented
922C2×#123C22×C1918yescomplemented
923C2×#123C22×C1912yescomplemented
924C2×C22⋊Q8C22×C1911yescharacteristic, complemented
925C2×#121C22×C1912yescomplemented
926C2×#121C22×C1914yescomplemented
927C2×#121C22×C1912yescomplemented
928C2×#121C22×C1914yescomplemented
929C2×#121C22×C1914yescomplemented
930C2×#121C22×C1911yescharacteristic, complemented
931C2×#121C22×C1912yescomplemented
932C2×#121C22×C1912yescomplemented
933C2×#120C22×C1914yescomplemented
934C2×#120C22×C1912yescomplemented
935C2×#120C22×C1918yescomplemented
936C2×#120C22×C1914yescomplemented
937C2×#120C22×C1918yescomplemented
938#520C22×C1912yescomplemented
939#518C22×C1914yescomplemented
940#518C22×C1914yescomplemented
941C2×C4×D4C22×C1912yescomplemented
942C2×C4×D4C22×C1911yescharacteristic, complemented
943C2×C4×D4C22×C1912yescomplemented
944C2×C4×D4C22×C1911yescharacteristic, complemented
945C22×C22⋊C4C22×C1912yescomplemented
946C2×C19—24no—
947C2×C19—24no—
948C2×C19—22no—
949C2×C19—42no—
950C2×C19—44no—
951C2×C19—44no—
952C2×C19—48no—
953C2×C19—42no—
954C2×C19C22×H(5,𝔽2)11yescharacteristic
955C2×C19C22×H(5,𝔽2)11yescharacteristic
956C2×C19H(7,𝔽2)11yescharacteristic
957C25C23×C1912yes—
958C25C23×C1914yescomplemented
959H(5,𝔽2)—48no—
960H(5,𝔽2)—48no—
961C2×#41—44no—
962C2×#41C23×C1912yes—
963C2×#41C23×C1912yescomplemented
964C2×#41C23×C1918yescomplemented
965C2×#41C23×C1914yescomplemented
966C2×#41C23×C1914yescomplemented
967C2×#41C23×C1914yescomplemented
968C2×#41C23×C1914yescomplemented
969C2×#41C23×C1912yescomplemented
970C2×#41C23×C1914yescomplemented
971C22×Q8C23×C1911yescharacteristic, complemented
972C22×D4—44no—
973C22×D4—48no—
974C22×D4—416no—
975C22×D4C23×C1911yescharacteristic
976C22×D4C23×C1912yes—
977C22×D4C23×C1911yescharacteristic
978C22×D4C23×C1912yes—
979C22×D4C23×C1914yes—
980C22×D4C23×C1914yes—
981C22×D4C23×C1914yes—
982C22×D4C23×C1918yes—
983C22×D4C23×C1912yes—
984C22×D4C23×C1911yescharacteristic
985C22×D4C23×C1912yes—
986C22×D4C23×C1918yes—
987C22×D4C23×C1914yescomplemented
988C22×D4C23×C1914yescomplemented
989C22×D4C23×C1912yescomplemented
990C22×D4C23×C1914yescomplemented
991C22×D4C23×C1918yescomplemented
992C22×D4C23×C1918yescomplemented
993C22×D4C23×C1918yescomplemented
994C22×D4C23×C1914yescomplemented
995C22×D4C23×C1912yescomplemented
996C22×D4C23×C1914yescomplemented
997C22×D4C23×C1912yescomplemented
998C22×D4C23×C1918yescomplemented
999C22×D4C23×C1918yescomplemented
1000C22×D4C23×C1914yescomplemented
1001C22×D4C23×C1914yescomplemented
1002C22×D4C23×C1914yescomplemented
1003C22×D4C23×C1912yescomplemented
1004C22×D4C23×C1918yescomplemented
1005C23×C4C23×C1911yescharacteristic
1006C23×C4C23×C1912yescomplemented
1007C23×C4C23×C1911yescharacteristic, complemented
1008C23×C4C23×C1914yescomplemented
1009C23×C4C23×C1912yescomplemented
1010C23×C4C23×C1912yescomplemented
1011C4⋊Q8C23×C1912yescomplemented
1012#127C23×C1914yes—
1013#127C23×C1914yescomplemented
1014#127C23×C1918yescomplemented
1015#127C23×C1912yescomplemented
1016#127C23×C1918yescomplemented
1017#127C23×C1918yescomplemented
1018#126C23×C1914yescomplemented
1019#126C23×C1914yescomplemented
1020#126C23×C1918yescomplemented
1021#126C23×C1914yescomplemented
1022#126C23×C1918yescomplemented
1023#126C23×C1918yescomplemented
1024#126C23×C1918yescomplemented
1025#126C23×C1918yescomplemented
1026#125C23×C1914yescomplemented
1027#125C23×C1912yescomplemented
1028#125C23×C1914yescomplemented
1029#125C23×C1918yescomplemented
1030#124C23×C1914yescomplemented
1031#124C23×C1914yescomplemented
1032#124C23×C1914yescomplemented
1033#124C23×C1914yescomplemented
1034#124C23×C1912yescomplemented
1035#124C23×C1914yescomplemented
1036#124C23×C1918yescomplemented
1037#124C23×C1918yescomplemented
1038#124C23×C1918yescomplemented
1039#124C23×C1918yescomplemented
1040#124C23×C1918yescomplemented
1041#123C23×C1914yes—
1042#123C23×C1918yes—
1043#123C23×C1918yescomplemented
1044#123C23×C1918yescomplemented
1045#123C23×C1918yescomplemented
1046#123C23×C1918yescomplemented
1047#123C23×C1918yescomplemented
1048#123C23×C1918yescomplemented
1049#123C23×C1918yescomplemented
1050#123C23×C1918yescomplemented
1051#123C23×C1914yescomplemented
1052#123C23×C1914yescomplemented
1053#123C23×C1914yescomplemented
1054#123C23×C1918yescomplemented
1055#123C23×C1918yescomplemented
1056#123C23×C1914yescomplemented
1057#123C23×C1918yescomplemented
1058#123C23×C1914yescomplemented
1059#123C23×C1918yescomplemented
1060#123C23×C1918yescomplemented
1061#123C23×C1918yescomplemented
1062#123C23×C1918yescomplemented
1063#123C23×C1918yescomplemented
1064#123C23×C1918yescomplemented
1065#123C23×C1918yescomplemented
1066C22⋊Q8C23×C1914yescomplemented
1067C22⋊Q8C23×C1914yescomplemented
1068C22⋊Q8C23×C1912yescomplemented
1069C22⋊Q8C23×C1912yescomplemented
1070C22⋊Q8C23×C1912yescomplemented
1071C22⋊Q8C23×C1914yescomplemented
1072C22⋊Q8C23×C1914yescomplemented
1073C22⋊Q8C23×C1914yescomplemented
1074C22⋊Q8C23×C1918yescomplemented
1075C22⋊Q8C23×C1914yescomplemented
1076C22⋊Q8C23×C1918yescomplemented
1077C22⋊Q8C23×C1914yescomplemented
1078C22⋊Q8C23×C1914yescomplemented
1079C22⋊Q8C23×C1918yescomplemented
1080C22⋊Q8C23×C1918yescomplemented
1081#121C23×C1912yes—
1082#121C23×C1912yes—
1083#121C23×C1914yes—
1084#121C23×C1918yes—
1085#121C23×C1914yes—
1086#121C23×C1914yes—
1087#121C23×C1914yes—
1088#121C23×C1914yes—
1089#121C23×C1914yescomplemented
1090#121C23×C1914yescomplemented
1091#121C23×C1914yescomplemented
1092#121C23×C1914yescomplemented
1093#121C23×C1914yescomplemented
1094#121C23×C1918yescomplemented
1095#121C23×C1918yescomplemented
1096#121C23×C1918yescomplemented
1097#121C23×C1918yescomplemented
1098#121C23×C1914yescomplemented
1099#121C23×C1914yescomplemented
1100#121C23×C1914yescomplemented
1101#121C23×C1918yescomplemented
1102#121C23×C1914yescomplemented
1103#121C23×C1914yescomplemented
1104#121C23×C1914yescomplemented
1105#121C23×C1914yescomplemented
1106#121C23×C1918yescomplemented
1107#121C23×C1918yescomplemented
1108#121C23×C1914yescomplemented
1109#121C23×C1918yescomplemented
1110#121C23×C1918yescomplemented
1111#121C23×C1918yescomplemented
1112#121C23×C1912yescomplemented
1113#121C23×C1914yescomplemented
1114#121C23×C1918yescomplemented
1115#121C23×C1914yescomplemented
1116#121C23×C1914yescomplemented
1117#121C23×C1914yescomplemented
1118#121C23×C1918yescomplemented
1119#121C23×C1918yescomplemented
1120#121C23×C1918yescomplemented
1121#121C23×C1918yescomplemented
1122#121C23×C1918yescomplemented
1123#121C23×C1918yescomplemented
1124#121C23×C1918yescomplemented
1125#121C23×C1918yescomplemented
1126#121C23×C1918yescomplemented
1127#121C23×C1918yescomplemented
1128#121C23×C1918yescomplemented
1129#121C23×C1918yescomplemented
1130#121C23×C1918yescomplemented
1131#120C23×C1914yes—
1132#120C23×C1918yes—
1133#120C23×C1918yes—
1134#120C23×C1918yes—
1135#120C23×C1918yes—
1136#120C23×C1918yescomplemented
1137#120C23×C1914yescomplemented
1138#120C23×C1918yescomplemented
1139#120C23×C1918yescomplemented
1140#120C23×C1918yescomplemented
1141#120C23×C1918yescomplemented
1142#120C23×C1918yescomplemented
1143#120C23×C1918yescomplemented
1144#120C23×C1918yescomplemented
1145#120C23×C1918yescomplemented
1146#120C23×C1918yescomplemented
1147#120C23×C1918yescomplemented
1148#120C23×C1918yescomplemented
1149#120C23×C1918yescomplemented
1150#120C23×C1918yescomplemented
1151#120C23×C1918yescomplemented
1152#120C23×C1918yescomplemented
1153#120C23×C1918yescomplemented
1154#120C23×C1914yescomplemented
1155#120C23×C1918yescomplemented
1156#120C23×C1918yescomplemented
1157#120C23×C1918yescomplemented
1158C4×Q8C23×C1914yescomplemented
1159C4×Q8C23×C1912yescomplemented
1160C4×D4C23×C1912yes—
1161C4×D4C23×C1914yes—
1162C4×D4C23×C1914yes—
1163C4×D4C23×C1914yes—
1164C4×D4C23×C1914yescomplemented
1165C4×D4C23×C1914yescomplemented
1166C4×D4C23×C1914yescomplemented
1167C4×D4C23×C1918yescomplemented
1168C4×D4C23×C1914yescomplemented
1169C4×D4C23×C1914yescomplemented
1170C4×D4C23×C1912yescomplemented
1171C4×D4C23×C1914yescomplemented
1172C4×D4C23×C1918yescomplemented
1173C4×D4C23×C1918yescomplemented
1174C4×D4C23×C1918yescomplemented
1175C4×D4C23×C1918yescomplemented
1176C4×D4C23×C1918yescomplemented
1177C4×D4C23×C1918yescomplemented
1178C4×D4C23×C1914yescomplemented
1179C4×D4C23×C1914yescomplemented
1180C4×D4C23×C1918yescomplemented
1181C4×D4C23×C1912yescomplemented
1182C4×D4C23×C1914yescomplemented
1183C4×D4C23×C1918yescomplemented
1184C4×D4C23×C1918yescomplemented
1185C4×D4C23×C1918yescomplemented
1186C4×D4C23×C1918yescomplemented
1187C4×D4C23×C1914yescomplemented
1188#117C23×C1914yescomplemented
1189#117C23×C1918yescomplemented
1190#117C23×C1914yescomplemented
1191#117C23×C1912yescomplemented
1192#117C23×C1914yescomplemented
1193#117C23×C1914yescomplemented
1194#117C23×C1918yescomplemented
1195C2×C4⋊C4C23×C1912yescomplemented
1196C2×C4⋊C4C23×C1912yescomplemented
1197C2×C4⋊C4C23×C1911yescharacteristic, complemented
1198C2×C4⋊C4C23×C1911yescharacteristic, complemented
1199C2×C4⋊C4C23×C1914yescomplemented
1200C2×C4⋊C4C23×C1912yescomplemented
1201C2×C4⋊C4C23×C1912yescomplemented
1202C2×C4⋊C4C23×C1914yescomplemented
1203C2×C22⋊C4C23×C1911yescharacteristic
1204C2×C22⋊C4C23×C1912yes—
1205C2×C22⋊C4C23×C1912yes—
1206C2×C22⋊C4C23×C1918yescomplemented
1207C2×C22⋊C4C23×C1912yescomplemented
1208C2×C22⋊C4C23×C1912yescomplemented
1209C2×C22⋊C4C23×C1918yescomplemented
1210C2×C22⋊C4C23×C1912yescomplemented
1211C2×C22⋊C4C23×C1914yescomplemented
1212C2×C22⋊C4C23×C1912yescomplemented
1213C2×C22⋊C4C23×C1911yescharacteristic, complemented
1214C2×C22⋊C4C23×C1918yescomplemented
1215C2×C22⋊C4C23×C1918yescomplemented
1216C2×C22⋊C4C23×C1918yescomplemented
1217C2×C22⋊C4C23×C1914yescomplemented
1218C2×C22⋊C4C23×C1914yescomplemented
1219C2×C22⋊C4C23×C1918yescomplemented
1220C2×C22⋊C4C23×C1912yescomplemented
1221C2×C22⋊C4C23×C1918yescomplemented
1222C2×C22⋊C4C23×C1914yescomplemented
1223C2×C42C23×C1911yescharacteristic, complemented
1224C2×C42C23×C1912yescomplemented
1225C19#6289211yescharacteristic, direct product factor, Sylow
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C1914yes—
1233C24C24×C1912yes—
1234C24C24×C1914yes—
1235C24C24×C1914yes—
1236C24C24×C1918yes—
1237C24C24×C1912yes—
1238C24C24×C1912yes—
1239C24C24×C1911yescharacteristic
1240C24C24×C1918yes—
1241C24C24×C1914yes—
1242C24C24×C1911yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C1912yes—
1254C2×Q8C24×C1912yes—
1255C2×Q8C24×C1912yes—
1256C2×Q8C24×C1912yes—
1257C2×Q8C24×C1914yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C1914yes—
1289C2×D4C24×C1918yes—
1290C2×D4C24×C1914yes—
1291C2×D4C24×C1918yes—
1292C2×D4C24×C1914yes—
1293C2×D4C24×C1912yes—
1294C2×D4C24×C1914yes—
1295C2×D4C24×C1918yes—
1296C2×D4C24×C1914yes—
1297C2×D4C24×C1912yes—
1298C2×D4C24×C1914yes—
1299C2×D4C24×C1911yescharacteristic
1300C2×D4C24×C1912yes—
1301C2×D4C24×C1918yes—
1302C2×D4C24×C1918yes—
1303C2×D4C24×C1918yes—
1304C2×D4C24×C1914yes—
1305C2×D4C24×C1914yes—
1306C2×D4C24×C1918yes—
1307C2×D4C24×C1912yes—
1308C2×D4C24×C1918yes—
1309C2×D4C24×C1918yes—
1310C2×D4C24×C1918yes—
1311C2×D4C24×C1914yes—
1312C2×D4C24×C1914yes—
1313C2×D4C24×C1912yes—
1314C2×D4C24×C1914yes—
1315C2×D4C24×C1914yes—
1316C2×D4C24×C1918yes—
1317C2×D4C24×C1918yes—
1318C2×D4C24×C1914yes—
1319C2×D4C24×C1918yes—
1320C2×D4C24×C1914yes—
1321C2×D4C24×C1918yes—
1322C2×D4C24×C1911yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C1911yescharacteristic
1330C22×C4C24×C1912yes—
1331C22×C4C24×C1911yescharacteristic
1332C22×C4C24×C1912yes—
1333C22×C4C24×C1914yes—
1334C22×C4C24×C1914yes—
1335C22×C4C24×C1912yes—
1336C22×C4C24×C1914yes—
1337C22×C4C24×C1912yes—
1338C22×C4C24×C1911yescharacteristic
1339C22×C4C24×C1912yes—
1340C22×C4C24×C1912yes—
1341C22×C4C24×C1912yes—
1342C22×C4C24×C1911yescharacteristic
1343C22×C4C24×C1914yes—
1344C22×C4C24×C1912yes—
1345C22×C4C24×C1918yes—
1346C22×C4C24×C1918yes—
1347C22×C4C24×C1914yes—
1348C22×C4C24×C1918yes—
1349C22×C4C24×C1918yes—
1350C22×C4C24×C1914yes—
1351C22×C4C24×C1912yes—
1352C22×C4C24×C1911yescharacteristic
1353C22×C4C24×C1914yes—
1354C22×C4C24×C1914yes—
1355C22×C4C24×C1918yes—
1356C4⋊C4C24×C1914yes—
1357C4⋊C4C24×C1912yes—
1358C4⋊C4C24×C1914yes—
1359C4⋊C4C24×C1912yes—
1360C4⋊C4C24×C1912yes—
1361C4⋊C4C24×C1918yes—
1362C4⋊C4C24×C1918yes—
1363C4⋊C4C24×C1914yes—
1364C4⋊C4C24×C1914yes—
1365C4⋊C4C24×C1914yes—
1366C4⋊C4C24×C1914yes—
1367C4⋊C4C24×C1914yes—
1368C4⋊C4C24×C1912yes—
1369C4⋊C4C24×C1918yes—
1370C4⋊C4C24×C1912yes—
1371C4⋊C4C24×C1912yes—
1372C4⋊C4C24×C1914yes—
1373C4⋊C4C24×C1918yes—
1374C4⋊C4C24×C1914yes—
1375C4⋊C4C24×C1918yes—
1376C4⋊C4C24×C1914yes—
1377C4⋊C4C24×C1914yes—
1378C22⋊C4C24×C1914yes—
1379C22⋊C4C24×C1918yes—
1380C22⋊C4C24×C1914yes—
1381C22⋊C4C24×C1914yes—
1382C22⋊C4C24×C1914yes—
1383C22⋊C4C24×C1918yes—
1384C22⋊C4C24×C1918yes—
1385C22⋊C4C24×C1918yes—
1386C22⋊C4C24×C1914yes—
1387C22⋊C4C24×C1914yes—
1388C22⋊C4C24×C1918yes—
1389C22⋊C4C24×C1918yes—
1390C22⋊C4C24×C1914yes—
1391C22⋊C4C24×C1914yes—
1392C22⋊C4C24×C1918yes—
1393C22⋊C4C24×C1918yes—
1394C22⋊C4C24×C1918yes—
1395C22⋊C4C24×C1918yes—
1396C22⋊C4C24×C1918yes—
1397C22⋊C4C24×C1918yes—
1398C22⋊C4C24×C1918yes—
1399C22⋊C4C24×C1914yes—
1400C22⋊C4C24×C1914yes—
1401C22⋊C4C24×C1918yes—
1402C22⋊C4C24×C1918yes—
1403C22⋊C4C24×C1918yes—
1404C22⋊C4C24×C1918yes—
1405C22⋊C4C24×C1918yes—
1406C22⋊C4C24×C1914yes—
1407C22⋊C4C24×C1914yes—
1408C22⋊C4C24×C1914yes—
1409C22⋊C4C24×C1914yes—
1410C42C24×C1914yes—
1411C42C24×C1912yes—
1412C42C24×C1914yes—
1413C42C24×C1912yes—
1414C42C24×C1918yes—
1415C42C24×C1918yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23C19×H(5,𝔽2)14yescomplemented
1451C23C25×C1914yes—
1452C23C25×C1914yes—
1453C23C25×C1918yes—
1454C23C25×C1912yes—
1455C23C25×C1912yes—
1456C23C25×C1912yes—
1457C23C25×C1912yes—
1458C23C25×C1911yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4C19×H(5,𝔽2)14yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C1914yes—
1527C2×C4C25×C1912yes—
1528C2×C4C25×C1914yes—
1529C2×C4C25×C1912yes—
1530C2×C4C25×C1911yescharacteristic
1531C2×C4C25×C1914yes—
1532C2×C4C25×C1914yes—
1533C2×C4C25×C1918yes—
1534C2×C4C25×C1914yes—
1535C2×C4C25×C1912yes—
1536C2×C4C25×C1912yes—
1537C2×C4C25×C1911yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—416no—
1561C22—48no—
1562C22—48no—
1563C22—88no—
1564C22—88no—
1565C22—816no—
1566C22—84no—
1567C22—82no—
1568C22—816no—
1569C22—164no—
1570C22C2×C19×H(5,𝔽2)14yes—
1571C22C2×C19×H(5,𝔽2)14yes—
1572C22C2×C19×H(5,𝔽2)12yes—
1573C22C26×C1911yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×C19×H(5,𝔽2)12yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×C19×H(5,𝔽2)11yescharacteristic
1595C2C22×C19×H(5,𝔽2)11yescharacteristic
1596C2C19×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C19C26
commutator, Frattini, cosocleC22C26×C19
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3558C2semidirect
2. C19×#3543C2semidirect
3. C19×#3542C2semidirect
4. C19×#3537C2semidirect
5. C19×#3537C2semidirect
6. C19×#3534C2semidirect
7. C19×#3534C2semidirect
8. C19×#3532C2semidirect
9. C19×#3519C2semidirect
10. C19×#3513C2semidirect
11. C19×#3505C2semidirect
12. C19×#3496C2semidirect
13. C19×#3490C2semidirect
14. C19×#3488C2semidirect
15. C19×#3484C2semidirect
16. C19×#3484C2semidirect
17. C2×C19×#546C2semidirect
18. C2×D42×C19C2semidirect
19. C19×#3459C2semidirect
20. C2×C19×#534C2semidirect
21. C2×C19×H(5,𝔽2)C22semidirect
22. C2×C19×H(5,𝔽2)C22semidirect
23. C22×#41×C19C22semidirect
24. C23×D4×C19C22semidirect
25. C23×D4×C19C22semidirect
26. C23×D4×C19C22semidirect
27. C19×#562C22semidirect
28. C19×#562C22semidirect
29. C19×H(3,𝔽4)C22semidirect
30. C19×#560C22semidirect
31. C19×#560C22semidirect
32. C19×#560C22semidirect
33. C19×#560C22semidirect
34. C19×#559C22semidirect
35. C19×#555C22semidirect
36. C19×#554C22semidirect
37. C19×#553C22semidirect
38. C19×#553C22semidirect
39. C19×#553C22semidirect
40. C19×#553C22semidirect
41. C19×#553C22semidirect
42. C19×#552C22semidirect
43. C19×#551C22semidirect
44. C19×#551C22semidirect
45. C19×#551C22semidirect
46. C19×#551C22semidirect
47. C19×#550C22semidirect
48. C19×#550C22semidirect
49. C19×#548C22semidirect
50. C19×#547C22semidirect
51. C19×#546C22semidirect
52. C19×#546C22semidirect
53. C19×#546C22semidirect
54. C19×#546C22semidirect
55. C19×#546C22semidirect
56. C19×#546C22semidirect
57. C19×#546C22semidirect
58. C19×#546C22semidirect
59. C19×#546C22semidirect
60. C19×#546C22semidirect
61. C19×#546C22semidirect
62. C19×#546C22semidirect
63. C19×#546C22semidirect
64. C19×#546C22semidirect
65. C19×#546C22semidirect
66. C19×#546C22semidirect
67. D42×C19C22semidirect
68. D42×C19C22semidirect
69. D42×C19C22semidirect
70. D42×C19C22semidirect
71. D42×C19C22semidirect
72. D42×C19C22semidirect
73. D42×C19C22semidirect
74. D42×C19C22semidirect
75. D42×C19C22semidirect
76. D42×C19C22semidirect
77. D42×C19C22semidirect
78. D42×C19C22semidirect
79. D42×C19C22semidirect
80. D42×C19C22semidirect
81. C19×#543C22semidirect
82. C19×#542C22semidirect
83. C19×#540C22semidirect
84. C19×#540C22semidirect
85. C19×#540C22semidirect
86. C19×#540C22semidirect
87. C19×#539C22semidirect
88. C19×#539C22semidirect
89. C19×#539C22semidirect
90. C19×#539C22semidirect
91. C19×#538C22semidirect
92. C19×#538C22semidirect
93. C19×#538C22semidirect
94. C19×#538C22semidirect
95. C19×#538C22semidirect
96. C19×#538C22semidirect
97. C19×#538C22semidirect
98. C19×#538C22semidirect
99. C19×#538C22semidirect
100. C19×#538C22semidirect
101. C19×#537C22semidirect
102. C19×#537C22semidirect
103. C19×#537C22semidirect
104. C19×#535C22semidirect
105. C19×#535C22semidirect
106. C19×#535C22semidirect
107. C19×#535C22semidirect
108. C19×#535C22semidirect
109. C19×#535C22semidirect
110. C19×#534C22semidirect
111. C19×#534C22semidirect
112. C19×#534C22semidirect
113. C19×#534C22semidirect
114. C19×#534C22semidirect
115. C19×#534C22semidirect
116. C19×#534C22semidirect
117. C19×#534C22semidirect
118. C19×#534C22semidirect
119. C19×#534C22semidirect
120. C19×#534C22semidirect
121. C19×#534C22semidirect
122. C19×#534C22semidirect
123. C19×#532C22semidirect
124. C2×C19×#127C22semidirect
125. C19×#529C22semidirect
126. C19×#529C22semidirect
127. C19×#529C22semidirect
128. C2×C19×#124C22semidirect
129. C19×#525C22semidirect
130. C19×#525C22semidirect
131. C19×#525C22semidirect
132. C19×#525C22semidirect
133. C19×#525C22semidirect
134. C19×#525C22semidirect
135. C2×C19×#123C22semidirect
136. C2×C19×#123C22semidirect
137. C2×C19×C22⋊Q8C22semidirect
138. C2×C19×#121C22semidirect
139. C2×C19×#121C22semidirect
140. C2×C19×#121C22semidirect
141. C2×C19×#121C22semidirect
142. C2×C19×#121C22semidirect
143. C2×C19×#121C22semidirect
144. C2×C19×#121C22semidirect
145. C2×C19×#121C22semidirect
146. C2×C19×#120C22semidirect
147. C2×C19×#120C22semidirect
148. C2×C19×#120C22semidirect
149. C2×C19×#120C22semidirect
150. C2×C19×#120C22semidirect
151. C19×#520C22semidirect
152. C19×#518C22semidirect
153. C19×#518C22semidirect
154. C2×C4×D4×C19C22semidirect
155. C2×C4×D4×C19C22semidirect
156. C2×C4×D4×C19C22semidirect
157. C2×C4×D4×C19C22semidirect
158. C22×C22⋊C4×C19C22semidirect
160. C25×C19C23semidirect
165. C2×#41×C19C23semidirect
166. C2×#41×C19C23semidirect
167. C2×#41×C19C23semidirect
168. C2×#41×C19C23semidirect
169. C2×#41×C19C23semidirect
170. C2×#41×C19C23semidirect
171. C2×#41×C19C23semidirect
172. C2×#41×C19C23semidirect
173. C22×Q8×C19C23semidirect
189. C22×D4×C19C23semidirect
190. C22×D4×C19C23semidirect
191. C22×D4×C19C23semidirect
192. C22×D4×C19C23semidirect
193. C22×D4×C19C23semidirect
194. C22×D4×C19C23semidirect
195. C22×D4×C19C23semidirect
196. C22×D4×C19C23semidirect
197. C22×D4×C19C23semidirect
198. C22×D4×C19C23semidirect
199. C22×D4×C19C23semidirect
200. C22×D4×C19C23semidirect
201. C22×D4×C19C23semidirect
202. C22×D4×C19C23semidirect
203. C22×D4×C19C23semidirect
204. C22×D4×C19C23semidirect
205. C22×D4×C19C23semidirect
206. C22×D4×C19C23semidirect
208. C23×C4×C19C23semidirect
209. C23×C4×C19C23semidirect
210. C23×C4×C19C23semidirect
211. C23×C4×C19C23semidirect
212. C23×C4×C19C23semidirect
213. C19×C4⋊Q8C23semidirect
215. C19×#127C23semidirect
216. C19×#127C23semidirect
217. C19×#127C23semidirect
218. C19×#127C23semidirect
219. C19×#127C23semidirect
220. C19×#126C23semidirect
221. C19×#126C23semidirect
222. C19×#126C23semidirect
223. C19×#126C23semidirect
224. C19×#126C23semidirect
225. C19×#126C23semidirect
226. C19×#126C23semidirect
227. C19×#126C23semidirect
228. C19×#125C23semidirect
229. C19×#125C23semidirect
230. C19×#125C23semidirect
231. C19×#125C23semidirect
232. C19×#124C23semidirect
233. C19×#124C23semidirect
234. C19×#124C23semidirect
235. C19×#124C23semidirect
236. C19×#124C23semidirect
237. C19×#124C23semidirect
238. C19×#124C23semidirect
239. C19×#124C23semidirect
240. C19×#124C23semidirect
241. C19×#124C23semidirect
242. C19×#124C23semidirect
245. C19×#123C23semidirect
246. C19×#123C23semidirect
247. C19×#123C23semidirect
248. C19×#123C23semidirect
249. C19×#123C23semidirect
250. C19×#123C23semidirect
251. C19×#123C23semidirect
252. C19×#123C23semidirect
253. C19×#123C23semidirect
254. C19×#123C23semidirect
255. C19×#123C23semidirect
256. C19×#123C23semidirect
257. C19×#123C23semidirect
258. C19×#123C23semidirect
259. C19×#123C23semidirect
260. C19×#123C23semidirect
261. C19×#123C23semidirect
262. C19×#123C23semidirect
263. C19×#123C23semidirect
264. C19×#123C23semidirect
265. C19×#123C23semidirect
266. C19×#123C23semidirect
267. C19×#123C23semidirect
268. C19×C22⋊Q8C23semidirect
269. C19×C22⋊Q8C23semidirect
270. C19×C22⋊Q8C23semidirect
271. C19×C22⋊Q8C23semidirect
272. C19×C22⋊Q8C23semidirect
273. C19×C22⋊Q8C23semidirect
274. C19×C22⋊Q8C23semidirect
275. C19×C22⋊Q8C23semidirect
276. C19×C22⋊Q8C23semidirect
277. C19×C22⋊Q8C23semidirect
278. C19×C22⋊Q8C23semidirect
279. C19×C22⋊Q8C23semidirect
280. C19×C22⋊Q8C23semidirect
281. C19×C22⋊Q8C23semidirect
282. C19×C22⋊Q8C23semidirect
291. C19×#121C23semidirect
292. C19×#121C23semidirect
293. C19×#121C23semidirect
294. C19×#121C23semidirect
295. C19×#121C23semidirect
296. C19×#121C23semidirect
297. C19×#121C23semidirect
298. C19×#121C23semidirect
299. C19×#121C23semidirect
300. C19×#121C23semidirect
301. C19×#121C23semidirect
302. C19×#121C23semidirect
303. C19×#121C23semidirect
304. C19×#121C23semidirect
305. C19×#121C23semidirect
306. C19×#121C23semidirect
307. C19×#121C23semidirect
308. C19×#121C23semidirect
309. C19×#121C23semidirect
310. C19×#121C23semidirect
311. C19×#121C23semidirect
312. C19×#121C23semidirect
313. C19×#121C23semidirect
314. C19×#121C23semidirect
315. C19×#121C23semidirect
316. C19×#121C23semidirect
317. C19×#121C23semidirect
318. C19×#121C23semidirect
319. C19×#121C23semidirect
320. C19×#121C23semidirect
321. C19×#121C23semidirect
322. C19×#121C23semidirect
323. C19×#121C23semidirect
324. C19×#121C23semidirect
325. C19×#121C23semidirect
326. C19×#121C23semidirect
327. C19×#121C23semidirect
328. C19×#121C23semidirect
329. C19×#121C23semidirect
330. C19×#121C23semidirect
331. C19×#121C23semidirect
332. C19×#121C23semidirect
338. C19×#120C23semidirect
339. C19×#120C23semidirect
340. C19×#120C23semidirect
341. C19×#120C23semidirect
342. C19×#120C23semidirect
343. C19×#120C23semidirect
344. C19×#120C23semidirect
345. C19×#120C23semidirect
346. C19×#120C23semidirect
347. C19×#120C23semidirect
348. C19×#120C23semidirect
349. C19×#120C23semidirect
350. C19×#120C23semidirect
351. C19×#120C23semidirect
352. C19×#120C23semidirect
353. C19×#120C23semidirect
354. C19×#120C23semidirect
355. C19×#120C23semidirect
356. C19×#120C23semidirect
357. C19×#120C23semidirect
358. C19×#120C23semidirect
359. C19×#120C23semidirect
360. C4×Q8×C19C23semidirect
361. C4×Q8×C19C23semidirect
366. C4×D4×C19C23semidirect
367. C4×D4×C19C23semidirect
368. C4×D4×C19C23semidirect
369. C4×D4×C19C23semidirect
370. C4×D4×C19C23semidirect
371. C4×D4×C19C23semidirect
372. C4×D4×C19C23semidirect
373. C4×D4×C19C23semidirect
374. C4×D4×C19C23semidirect
375. C4×D4×C19C23semidirect
376. C4×D4×C19C23semidirect
377. C4×D4×C19C23semidirect
378. C4×D4×C19C23semidirect
379. C4×D4×C19C23semidirect
380. C4×D4×C19C23semidirect
381. C4×D4×C19C23semidirect
382. C4×D4×C19C23semidirect
383. C4×D4×C19C23semidirect
384. C4×D4×C19C23semidirect
385. C4×D4×C19C23semidirect
386. C4×D4×C19C23semidirect
387. C4×D4×C19C23semidirect
388. C4×D4×C19C23semidirect
389. C4×D4×C19C23semidirect
390. C19×#117C23semidirect
391. C19×#117C23semidirect
392. C19×#117C23semidirect
393. C19×#117C23semidirect
394. C19×#117C23semidirect
395. C19×#117C23semidirect
396. C19×#117C23semidirect
397. C2×C4⋊C4×C19C23semidirect
398. C2×C4⋊C4×C19C23semidirect
399. C2×C4⋊C4×C19C23semidirect
400. C2×C4⋊C4×C19C23semidirect
401. C2×C4⋊C4×C19C23semidirect
402. C2×C4⋊C4×C19C23semidirect
403. C2×C4⋊C4×C19C23semidirect
404. C2×C4⋊C4×C19C23semidirect
408. C2×C22⋊C4×C19C23semidirect
409. C2×C22⋊C4×C19C23semidirect
410. C2×C22⋊C4×C19C23semidirect
411. C2×C22⋊C4×C19C23semidirect
412. C2×C22⋊C4×C19C23semidirect
413. C2×C22⋊C4×C19C23semidirect
414. C2×C22⋊C4×C19C23semidirect
415. C2×C22⋊C4×C19C23semidirect
416. C2×C22⋊C4×C19C23semidirect
417. C2×C22⋊C4×C19C23semidirect
418. C2×C22⋊C4×C19C23semidirect
419. C2×C22⋊C4×C19C23semidirect
420. C2×C22⋊C4×C19C23semidirect
421. C2×C22⋊C4×C19C23semidirect
422. C2×C22⋊C4×C19C23semidirect
423. C2×C22⋊C4×C19C23semidirect
424. C2×C22⋊C4×C19C23semidirect
425. C2×C42×C19C23semidirect
426. C2×C42×C19C23semidirect
617. #62892C19direct (N × H)
652. C23×C19H(5,𝔽2)semidirect
700. D4×C19H(5,𝔽2)semidirect
740. #3558C2×C19semidirect
741. #3543C2×C19semidirect
742. #3542C2×C19semidirect
743. #3537C2×C19semidirect
744. #3537C2×C19semidirect
745. #3534C2×C19semidirect
746. #3534C2×C19semidirect
747. #3532C2×C19semidirect
748. #3519C2×C19semidirect
749. #3513C2×C19semidirect
750. #3505C2×C19semidirect
751. #3496C2×C19semidirect
752. #3490C2×C19semidirect
753. #3488C2×C19semidirect
754. #3484C2×C19semidirect
755. #3484C2×C19semidirect
756. C2×#546C2×C19semidirect
757. C2×D42C2×C19semidirect
758. #3459C2×C19semidirect
759. C2×#534C2×C19semidirect
808. C2×H(5,𝔽2)C22×C19semidirect
809. C2×H(5,𝔽2)C22×C19semidirect
810. C22×#41C22×C19semidirect
811. C23×D4C22×C19semidirect
812. C23×D4C22×C19semidirect
813. C23×D4C22×C19semidirect
814. #562C22×C19semidirect
815. #562C22×C19semidirect
816. H(3,𝔽4)C22×C19semidirect
817. #560C22×C19semidirect
818. #560C22×C19semidirect
819. #560C22×C19semidirect
820. #560C22×C19semidirect
821. #559C22×C19semidirect
822. #555C22×C19semidirect
823. #554C22×C19semidirect
824. #553C22×C19semidirect
825. #553C22×C19semidirect
826. #553C22×C19semidirect
827. #553C22×C19semidirect
828. #553C22×C19semidirect
829. #552C22×C19semidirect
830. #551C22×C19semidirect
831. #551C22×C19semidirect
832. #551C22×C19semidirect
833. #551C22×C19semidirect
834. #550C22×C19semidirect
835. #550C22×C19semidirect
836. #548C22×C19semidirect
837. #547C22×C19semidirect
838. #546C22×C19semidirect
839. #546C22×C19semidirect
840. #546C22×C19semidirect
841. #546C22×C19semidirect
842. #546C22×C19semidirect
843. #546C22×C19semidirect
844. #546C22×C19semidirect
845. #546C22×C19semidirect
846. #546C22×C19semidirect
847. #546C22×C19semidirect
848. #546C22×C19semidirect
849. #546C22×C19semidirect
850. #546C22×C19semidirect
851. #546C22×C19semidirect
852. #546C22×C19semidirect
853. #546C22×C19semidirect
854. D42C22×C19semidirect
855. D42C22×C19semidirect
856. D42C22×C19semidirect
857. D42C22×C19semidirect
858. D42C22×C19semidirect
859. D42C22×C19semidirect
860. D42C22×C19semidirect
861. D42C22×C19semidirect
862. D42C22×C19semidirect
863. D42C22×C19semidirect
864. D42C22×C19semidirect
865. D42C22×C19semidirect
866. D42C22×C19semidirect
867. D42C22×C19semidirect
868. #543C22×C19semidirect
869. #542C22×C19semidirect
870. #540C22×C19semidirect
871. #540C22×C19semidirect
872. #540C22×C19semidirect
873. #540C22×C19semidirect
874. #539C22×C19semidirect
875. #539C22×C19semidirect
876. #539C22×C19semidirect
877. #539C22×C19semidirect
878. #538C22×C19semidirect
879. #538C22×C19semidirect
880. #538C22×C19semidirect
881. #538C22×C19semidirect
882. #538C22×C19semidirect
883. #538C22×C19semidirect
884. #538C22×C19semidirect
885. #538C22×C19semidirect
886. #538C22×C19semidirect
887. #538C22×C19semidirect
888. #537C22×C19semidirect
889. #537C22×C19semidirect
890. #537C22×C19semidirect
891. #535C22×C19semidirect
892. #535C22×C19semidirect
893. #535C22×C19semidirect
894. #535C22×C19semidirect
895. #535C22×C19semidirect
896. #535C22×C19semidirect
897. #534C22×C19semidirect
898. #534C22×C19semidirect
899. #534C22×C19semidirect
900. #534C22×C19semidirect
901. #534C22×C19semidirect
902. #534C22×C19semidirect
903. #534C22×C19semidirect
904. #534C22×C19semidirect
905. #534C22×C19semidirect
906. #534C22×C19semidirect
907. #534C22×C19semidirect
908. #534C22×C19semidirect
909. #534C22×C19semidirect
910. #532C22×C19semidirect
911. C2×#127C22×C19semidirect
912. #529C22×C19semidirect
913. #529C22×C19semidirect
914. #529C22×C19semidirect
915. C2×#124C22×C19semidirect
916. #525C22×C19semidirect
917. #525C22×C19semidirect
918. #525C22×C19semidirect
919. #525C22×C19semidirect
920. #525C22×C19semidirect
921. #525C22×C19semidirect
922. C2×#123C22×C19semidirect
923. C2×#123C22×C19semidirect
924. C2×C22⋊Q8C22×C19semidirect
925. C2×#121C22×C19semidirect
926. C2×#121C22×C19semidirect
927. C2×#121C22×C19semidirect
928. C2×#121C22×C19semidirect
929. C2×#121C22×C19semidirect
930. C2×#121C22×C19semidirect
931. C2×#121C22×C19semidirect
932. C2×#121C22×C19semidirect
933. C2×#120C22×C19semidirect
934. C2×#120C22×C19semidirect
935. C2×#120C22×C19semidirect
936. C2×#120C22×C19semidirect
937. C2×#120C22×C19semidirect
938. #520C22×C19semidirect
939. #518C22×C19semidirect
940. #518C22×C19semidirect
941. C2×C4×D4C22×C19semidirect
942. C2×C4×D4C22×C19semidirect
943. C2×C4×D4C22×C19semidirect
944. C2×C4×D4C22×C19semidirect
945. C22×C22⋊C4C22×C19semidirect
958. C25C23×C19semidirect
963. C2×#41C23×C19semidirect
964. C2×#41C23×C19semidirect
965. C2×#41C23×C19semidirect
966. C2×#41C23×C19semidirect
967. C2×#41C23×C19semidirect
968. C2×#41C23×C19semidirect
969. C2×#41C23×C19semidirect
970. C2×#41C23×C19semidirect
971. C22×Q8C23×C19semidirect
987. C22×D4C23×C19semidirect
988. C22×D4C23×C19semidirect
989. C22×D4C23×C19semidirect
990. C22×D4C23×C19semidirect
991. C22×D4C23×C19semidirect
992. C22×D4C23×C19semidirect
993. C22×D4C23×C19semidirect
994. C22×D4C23×C19semidirect
995. C22×D4C23×C19semidirect
996. C22×D4C23×C19semidirect
997. C22×D4C23×C19semidirect
998. C22×D4C23×C19semidirect
999. C22×D4C23×C19semidirect
1000. C22×D4C23×C19semidirect
1001. C22×D4C23×C19semidirect
1002. C22×D4C23×C19semidirect
1003. C22×D4C23×C19semidirect
1004. C22×D4C23×C19semidirect
1006. C23×C4C23×C19semidirect
1007. C23×C4C23×C19semidirect
1008. C23×C4C23×C19semidirect
1009. C23×C4C23×C19semidirect
1010. C23×C4C23×C19semidirect
1011. C4⋊Q8C23×C19semidirect
1013. #127C23×C19semidirect
1014. #127C23×C19semidirect
1015. #127C23×C19semidirect
1016. #127C23×C19semidirect
1017. #127C23×C19semidirect
1018. #126C23×C19semidirect
1019. #126C23×C19semidirect
1020. #126C23×C19semidirect
1021. #126C23×C19semidirect
1022. #126C23×C19semidirect
1023. #126C23×C19semidirect
1024. #126C23×C19semidirect
1025. #126C23×C19semidirect
1026. #125C23×C19semidirect
1027. #125C23×C19semidirect
1028. #125C23×C19semidirect
1029. #125C23×C19semidirect
1030. #124C23×C19semidirect
1031. #124C23×C19semidirect
1032. #124C23×C19semidirect
1033. #124C23×C19semidirect
1034. #124C23×C19semidirect
1035. #124C23×C19semidirect
1036. #124C23×C19semidirect
1037. #124C23×C19semidirect
1038. #124C23×C19semidirect
1039. #124C23×C19semidirect
1040. #124C23×C19semidirect
1043. #123C23×C19semidirect
1044. #123C23×C19semidirect
1045. #123C23×C19semidirect
1046. #123C23×C19semidirect
1047. #123C23×C19semidirect
1048. #123C23×C19semidirect
1049. #123C23×C19semidirect
1050. #123C23×C19semidirect
1051. #123C23×C19semidirect
1052. #123C23×C19semidirect
1053. #123C23×C19semidirect
1054. #123C23×C19semidirect
1055. #123C23×C19semidirect
1056. #123C23×C19semidirect
1057. #123C23×C19semidirect
1058. #123C23×C19semidirect
1059. #123C23×C19semidirect
1060. #123C23×C19semidirect
1061. #123C23×C19semidirect
1062. #123C23×C19semidirect
1063. #123C23×C19semidirect
1064. #123C23×C19semidirect
1065. #123C23×C19semidirect
1066. C22⋊Q8C23×C19semidirect
1067. C22⋊Q8C23×C19semidirect
1068. C22⋊Q8C23×C19semidirect
1069. C22⋊Q8C23×C19semidirect
1070. C22⋊Q8C23×C19semidirect
1071. C22⋊Q8C23×C19semidirect
1072. C22⋊Q8C23×C19semidirect
1073. C22⋊Q8C23×C19semidirect
1074. C22⋊Q8C23×C19semidirect
1075. C22⋊Q8C23×C19semidirect
1076. C22⋊Q8C23×C19semidirect
1077. C22⋊Q8C23×C19semidirect
1078. C22⋊Q8C23×C19semidirect
1079. C22⋊Q8C23×C19semidirect
1080. C22⋊Q8C23×C19semidirect
1089. #121C23×C19semidirect
1090. #121C23×C19semidirect
1091. #121C23×C19semidirect
1092. #121C23×C19semidirect
1093. #121C23×C19semidirect
1094. #121C23×C19semidirect
1095. #121C23×C19semidirect
1096. #121C23×C19semidirect
1097. #121C23×C19semidirect
1098. #121C23×C19semidirect
1099. #121C23×C19semidirect
1100. #121C23×C19semidirect
1101. #121C23×C19semidirect
1102. #121C23×C19semidirect
1103. #121C23×C19semidirect
1104. #121C23×C19semidirect
1105. #121C23×C19semidirect
1106. #121C23×C19semidirect
1107. #121C23×C19semidirect
1108. #121C23×C19semidirect
1109. #121C23×C19semidirect
1110. #121C23×C19semidirect
1111. #121C23×C19semidirect
1112. #121C23×C19semidirect
1113. #121C23×C19semidirect
1114. #121C23×C19semidirect
1115. #121C23×C19semidirect
1116. #121C23×C19semidirect
1117. #121C23×C19semidirect
1118. #121C23×C19semidirect
1119. #121C23×C19semidirect
1120. #121C23×C19semidirect
1121. #121C23×C19semidirect
1122. #121C23×C19semidirect
1123. #121C23×C19semidirect
1124. #121C23×C19semidirect
1125. #121C23×C19semidirect
1126. #121C23×C19semidirect
1127. #121C23×C19semidirect
1128. #121C23×C19semidirect
1129. #121C23×C19semidirect
1130. #121C23×C19semidirect
1136. #120C23×C19semidirect
1137. #120C23×C19semidirect
1138. #120C23×C19semidirect
1139. #120C23×C19semidirect
1140. #120C23×C19semidirect
1141. #120C23×C19semidirect
1142. #120C23×C19semidirect
1143. #120C23×C19semidirect
1144. #120C23×C19semidirect
1145. #120C23×C19semidirect
1146. #120C23×C19semidirect
1147. #120C23×C19semidirect
1148. #120C23×C19semidirect
1149. #120C23×C19semidirect
1150. #120C23×C19semidirect
1151. #120C23×C19semidirect
1152. #120C23×C19semidirect
1153. #120C23×C19semidirect
1154. #120C23×C19semidirect
1155. #120C23×C19semidirect
1156. #120C23×C19semidirect
1157. #120C23×C19semidirect
1158. C4×Q8C23×C19semidirect
1159. C4×Q8C23×C19semidirect
1164. C4×D4C23×C19semidirect
1165. C4×D4C23×C19semidirect
1166. C4×D4C23×C19semidirect
1167. C4×D4C23×C19semidirect
1168. C4×D4C23×C19semidirect
1169. C4×D4C23×C19semidirect
1170. C4×D4C23×C19semidirect
1171. C4×D4C23×C19semidirect
1172. C4×D4C23×C19semidirect
1173. C4×D4C23×C19semidirect
1174. C4×D4C23×C19semidirect
1175. C4×D4C23×C19semidirect
1176. C4×D4C23×C19semidirect
1177. C4×D4C23×C19semidirect
1178. C4×D4C23×C19semidirect
1179. C4×D4C23×C19semidirect
1180. C4×D4C23×C19semidirect
1181. C4×D4C23×C19semidirect
1182. C4×D4C23×C19semidirect
1183. C4×D4C23×C19semidirect
1184. C4×D4C23×C19semidirect
1185. C4×D4C23×C19semidirect
1186. C4×D4C23×C19semidirect
1187. C4×D4C23×C19semidirect
1188. #117C23×C19semidirect
1189. #117C23×C19semidirect
1190. #117C23×C19semidirect
1191. #117C23×C19semidirect
1192. #117C23×C19semidirect
1193. #117C23×C19semidirect
1194. #117C23×C19semidirect
1195. C2×C4⋊C4C23×C19semidirect
1196. C2×C4⋊C4C23×C19semidirect
1197. C2×C4⋊C4C23×C19semidirect
1198. C2×C4⋊C4C23×C19semidirect
1199. C2×C4⋊C4C23×C19semidirect
1200. C2×C4⋊C4C23×C19semidirect
1201. C2×C4⋊C4C23×C19semidirect
1202. C2×C4⋊C4C23×C19semidirect
1206. C2×C22⋊C4C23×C19semidirect
1207. C2×C22⋊C4C23×C19semidirect
1208. C2×C22⋊C4C23×C19semidirect
1209. C2×C22⋊C4C23×C19semidirect
1210. C2×C22⋊C4C23×C19semidirect
1211. C2×C22⋊C4C23×C19semidirect
1212. C2×C22⋊C4C23×C19semidirect
1213. C2×C22⋊C4C23×C19semidirect
1214. C2×C22⋊C4C23×C19semidirect
1215. C2×C22⋊C4C23×C19semidirect
1216. C2×C22⋊C4C23×C19semidirect
1217. C2×C22⋊C4C23×C19semidirect
1218. C2×C22⋊C4C23×C19semidirect
1219. C2×C22⋊C4C23×C19semidirect
1220. C2×C22⋊C4C23×C19semidirect
1221. C2×C22⋊C4C23×C19semidirect
1222. C2×C22⋊C4C23×C19semidirect
1223. C2×C42C23×C19semidirect
1224. C2×C42C23×C19semidirect
1225. C19#62892direct (N × H)
1450. C23C19×H(5,𝔽2)semidirect
1498. D4C19×H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C19×#35582
C19×#35432
C19×#35422
C19×#35372
C19×#35342
C19×#35322
C19×#35192
C19×#35132
C19×#35052
C19×#34962
C19×#34902
C19×#34882
C19×#34842
C2×C19×#5462
C2×D42×C192
C19×#34592
C2×C19×#5342
#6289219