Finite Group Databasebeta

← C19×#62830 #18068789

Subgroups — C19×#62830 #18068789

Order 4864.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3562C214yesmaximal, complemented
2C19×#3560C214yesmaximal, complemented
3C19×#3552C212yesmaximal, complemented
4C19×#3551C214yesmaximal, complemented
5C19×#3547C212yesmaximal, complemented
6C19×#3546C212yesmaximal, complemented
7C19×#3543C212yesmaximal, complemented
8C19×#3534C214yesmaximal, complemented
9C19×#3520C212yesmaximal, complemented
10C19×#3519C214yesmaximal, complemented
11C19×#3519C212yesmaximal, complemented
12C19×#3517C212yesmaximal, complemented
13C19×#3514C214yesmaximal, complemented
14C19×#3514C212yesmaximal, complemented
15C19×#3512C212yesmaximal, complemented
16C19×#3507C211yesmaximal, characteristic, complemented
17C19×#3506C211yesmaximal, characteristic, complemented
18C19×#3505C214yesmaximal, complemented
19C19×#3500C212yesmaximal, complemented
20C19×#3497C211yesmaximal, characteristic, complemented
21C19×#3496C211yesmaximal, characteristic, complemented
22C19×#3494C214yesmaximal, complemented
23C19×#3489C212yesmaximal, complemented
24C19×#3488C212yesmaximal, complemented
25C19×#3444C211yesmaximal, characteristic, complemented
26C2×C19×#532C211yesmaximal, characteristic, complemented
27C2×C19×#529C211yesmaximal, characteristic, complemented
28C2×C19×2−1+4C2212yescomplemented
29C2×C19×H(5,𝔽2)C2212yescomplemented
30C22×#41×C19C2212yescomplemented
31C19×#563C2218yescomplemented
32C19×#562C2218yescomplemented
33C19×#560C2218yescomplemented
34C19×#560C2218yescomplemented
35C19×#559C2214yescomplemented
36C19×#559C2212yescomplemented
37C19×#557C2212yescomplemented
38C19×#556C2212yescomplemented
39C19×#556C2214yescomplemented
40C19×#556C2212yescomplemented
41C19×#555C2218yescomplemented
42C19×#555C2212yescomplemented
43C19×#555C2214yescomplemented
44C19×#554C2212yescomplemented
45C19×#554C2214yescomplemented
46C19×#553C2218yescomplemented
47C19×#553C2218yescomplemented
48C19×#553C2214yescomplemented
49C19×#553C2214yescomplemented
50C19×#553C2218yescomplemented
51C19×#553C2214yescomplemented
52C19×#553C2218yescomplemented
53C19×#553C2214yescomplemented
54C19×#553C2214yescomplemented
55C19×#552C2214yescomplemented
56C19×#552C2214yescomplemented
57C19×#552C2214yescomplemented
58C19×#551C2218yescomplemented
59C19×#551C2218yescomplemented
60C19×#551C2218yescomplemented
61C19×#551C2218yescomplemented
62C19×#550C2214yescomplemented
63C19×#550C2212yescomplemented
64C19×#550C2212yescomplemented
65C19×#550C2212yescomplemented
66C19×#550C2214yescomplemented
67D4×Q8×C19C2214yescomplemented
68D4×Q8×C19C2212yescomplemented
69D4×Q8×C19C2212yescomplemented
70C19×#548C2214yescomplemented
71C19×#548C2214yescomplemented
72C19×#548C2214yescomplemented
73C19×#548C2214yescomplemented
74C19×#548C2214yescomplemented
75C19×#548C2214yescomplemented
76C19×#547C2218yescomplemented
77C19×#547C2214yescomplemented
78C19×#547C2212yescomplemented
79C19×#547C2212yescomplemented
80C19×#547C2212yescomplemented
81C19×#546C2218yescomplemented
82C19×#546C2214yescomplemented
83C19×#546C2214yescomplemented
84C19×#546C2218yescomplemented
85C19×#546C2218yescomplemented
86C19×#546C2214yescomplemented
87C19×#546C2214yescomplemented
88C19×#546C2214yescomplemented
89C19×#546C2214yescomplemented
90C19×#546C2218yescomplemented
91C19×#546C2218yescomplemented
92C19×#546C2214yescomplemented
93C19×#546C2214yescomplemented
94D42×C19C2214yescomplemented
95D42×C19C2218yescomplemented
96D42×C19C2212yescomplemented
97D42×C19C2212yescomplemented
98D42×C19C2214yescomplemented
99C19×#544C2214yescomplemented
100C19×#542C2214yescomplemented
101C19×#542C2214yescomplemented
102C19×#542C2218yescomplemented
103C19×#541C2214yescomplemented
104C19×#540C2214yescomplemented
105C19×#540C2214yescomplemented
106C19×#540C2214yescomplemented
107C19×#540C2218yescomplemented
108C19×#540C2218yescomplemented
109C19×#539C2218yescomplemented
110C19×#539C2214yescomplemented
111C19×#539C2218yescomplemented
112C19×#538C2218yescomplemented
113C19×#538C2214yescomplemented
114C19×#538C2218yescomplemented
115C19×#538C2218yescomplemented
116C19×#538C2218yescomplemented
117C19×#538C2218yescomplemented
118C19×#537C2212yescomplemented
119C19×#537C2214yescomplemented
120C19×#537C2212yescomplemented
121C19×#537C2214yescomplemented
122C19×#537C2214yescomplemented
123C19×#536C2212yescomplemented
124C19×#536C2214yescomplemented
125C19×#536C2214yescomplemented
126C19×#535C2212yescomplemented
127C19×#535C2214yescomplemented
128C19×#535C2214yescomplemented
129C19×#535C2214yescomplemented
130C19×#534C2214yescomplemented
131C19×#534C2218yescomplemented
132C19×#533C2211yescharacteristic, complemented
133C19×#533C2211yescharacteristic, complemented
134C19×#533C2211yescharacteristic, complemented
135C19×#532C2211yescharacteristic
136C19×#532C2212yescomplemented
137C19×#532C2211yescharacteristic, complemented
138C19×#532C2212yescomplemented
139C19×#532C2211yescharacteristic, complemented
140C19×#532C2211yescharacteristic, complemented
141C19×#532C2212yescomplemented
142C19×#532C2212yescomplemented
143C19×#532C2212yescomplemented
144C19×#532C2212yescomplemented
145C19×#532C2211yescharacteristic, complemented
146C19×#532C2211yescharacteristic, complemented
147C19×#532C2211yescharacteristic, complemented
148C19×#532C2214yescomplemented
149C19×#532C2214yescomplemented
150C2×C19×C4⋊Q8C2211yescharacteristic, complemented
151C2×C19×#127C2211yescharacteristic, complemented
152C19×#529C2212yescomplemented
153C19×#529C2212yescomplemented
154C19×#529C2212yescomplemented
155C19×#529C2212yescomplemented
156C19×#529C2212yescomplemented
157C19×#529C2212yescomplemented
158C19×#529C2212yescomplemented
159C19×#529C2212yescomplemented
160C19×#529C2212yescomplemented
161C19×#529C2212yescomplemented
162C19×#529C2212yescomplemented
163C19×#529C2212yescomplemented
164C19×#529C2212yescomplemented
165C19×#529C2212yescomplemented
166C19×#529C2214yescomplemented
167C19×#529C2214yescomplemented
168C19×#529C2214yescomplemented
169C2×C19×#126C2212yescomplemented
170C2×C19×#125C2211yescharacteristic, complemented
171C2×C19×#124C2211yescharacteristic, complemented
172C2×C19×#124C2212yescomplemented
173C2×C19×#124C2214yescomplemented
174C19×#525C2212yescomplemented
175C19×#525C2212yescomplemented
176C19×#525C2212yescomplemented
177C19×#525C2214yescomplemented
178C19×#525C2214yescomplemented
179C19×#525C2214yescomplemented
180C2×C19×#123C2212yescomplemented
181C2×C19×C22⋊Q8C2211yescharacteristic, complemented
182C2×C19×C22⋊Q8C2214yescomplemented
183C2×C19×#121C2211yescharacteristic
184C2×C19×#121C2212yescomplemented
185C2×C19×#121C2212yescomplemented
186C2×C19×#121C2214yescomplemented
187C2×C19×#121C2214yescomplemented
188C19×#520C2212yescomplemented
189C19×#520C2212yescomplemented
190C19×#520C2214yescomplemented
191C19×#518C2214yescomplemented
192C19×#518C2218yescomplemented
193C4×#41×C19C2212yescomplemented
194C4×#41×C19C2212yescomplemented
195C4×#41×C19C2212yescomplemented
196C2×C4×Q8×C19C2211yescharacteristic, complemented
197C2×C4×D4×C19C2211yescharacteristic, complemented
198C2×C4×D4×C19C2212yescomplemented
199C2×C4×D4×C19C2212yescomplemented
200C2×C4×D4×C19C2212yescomplemented
201C2×C19×#117C2212yescomplemented
202C22×C42×C19C2211yescharacteristic, complemented
203C19×2−1+4—48no—
204C19×H(5,𝔽2)—48no—
205C2×#41×C19—48no—
206C2×#41×C19C2312yes—
207C2×#41×C19C2312yes—
208C2×#41×C19C2312yes—
209C2×#41×C19C2312yes—
210C2×#41×C19C2312yes—
211C2×#41×C19C2314yes—
212C2×#41×C19C2314yes—
213C2×#41×C19C2314yes—
214C2×#41×C19C2314yes—
215C2×#41×C19C2314yes—
216C2×#41×C19C2312yes—
217C2×#41×C19C2312yes—
218C2×#41×C19C2314yes—
219C2×#41×C19C2314yes—
220C2×#41×C19C2318yes—
221C22×Q8×C19C2311yescharacteristic
222C22×Q8×C19C2314yes—
223C22×Q8×C19C2312yes—
224C22×Q8×C19C2314yes—
225C22×D4×C19C2311yescharacteristic
226C22×D4×C19C2312yes—
227C22×D4×C19C2312yes—
228C22×D4×C19C2312yes—
229C22×D4×C19C2318yes—
230C22×D4×C19C2314yes—
231C22×D4×C19C2314yes—
232C22×D4×C19C2318yes—
233C22×D4×C19C2314yes—
234C22×D4×C19C2312yes—
235C22×D4×C19C2314yes—
236C23×C4×C19C2311yescharacteristic
237C23×C4×C19C2311yescharacteristic
238C23×C4×C19C2311yescharacteristic
239C23×C4×C19C2312yes—
240C23×C4×C19C2314yes—
241C19×C4⋊Q8C2311yescharacteristic
242C19×C4⋊Q8C2312yes—
243C19×C4⋊Q8C2312yes—
244C19×C4⋊Q8C2311yescharacteristic
245C19×C4⋊Q8C2312yes—
246C19×C4⋊Q8C2311yescharacteristic
247C19×C4⋊Q8C2311yescharacteristic
248C19×C4⋊Q8C2311yescharacteristic
249C19×C4⋊Q8C2314yes—
250C19×C4⋊Q8C2314yes—
251C19×C4⋊Q8C2318yes—
252C19×#127C2311yescharacteristic
253C19×#127C2312yes—
254C19×#127C2312yes—
255C19×#127C2311yescharacteristic
256C19×#127C2312yes—
257C19×#127C2311yescharacteristic
258C19×#127C2314yes—
259C19×#127C2314yes—
260C19×#127C2318yes—
261C19×#126C2314yes—
262C19×#126C2314yes—
263C19×#126C2314yes—
264C19×#126C2314yes—
265C19×#126C2314yes—
266C19×#126C2314yes—
267C19×#126C2318yes—
268C19×#126C2318yes—
269C19×#126C2318yes—
270C19×#126C2318yes—
271C19×#126C2318yes—
272C19×#126C2318yes—
273C19×#126C2318yes—
274C19×#125C2312yes—
275C19×#125C2312yes—
276C19×#125C2312yes—
277C19×#125C2312yes—
278C19×#125C2312yes—
279C19×#125C2312yes—
280C19×#125C2312yes—
281C19×#125C2314yes—
282C19×#125C2318yes—
283C19×#125C2318yes—
284C19×#125C2318yes—
285C19×#124C2312yes—
286C19×#124C2312yes—
287C19×#124C2312yes—
288C19×#124C2312yes—
289C19×#124C2312yes—
290C19×#124C2312yes—
291C19×#124C2312yes—
292C19×#124C2314yes—
293C19×#124C2312yes—
294C19×#124C2314yes—
295C19×#124C2314yes—
296C19×#124C2314yes—
297C19×#124C2318yes—
298C19×#124C2318yes—
299C19×#124C2312yes—
300C19×#124C2312yes—
301C19×#124C2312yes—
302C19×#124C2314yes—
303C19×#124C2318yes—
304C19×#124C2318yes—
305C19×#124C2318yes—
306C19×#124C2318yes—
307C19×#123C2314yes—
308C19×#123C2314yes—
309C19×#123C2314yes—
310C19×#123C2314yes—
311C19×#123C2314yes—
312C19×#123C2314yes—
313C19×#123C2314yes—
314C19×#123C2318yes—
315C19×#123C2318yes—
316C19×#123C2318yes—
317C19×#123C2318yes—
318C19×#123C2318yes—
319C19×#123C2318yes—
320C19×#123C2318yes—
321C19×#123C2318yes—
322C19×#123C2318yes—
323C19×#123C2318yes—
324C19×#123C2318yes—
325C19×#123C2318yes—
326C19×#123C2318yes—
327C19×#123C2318yes—
328C19×#123C2318yes—
329C19×#123C2318yes—
330C19×C22⋊Q8C2312yes—
331C19×C22⋊Q8C2312yes—
332C19×C22⋊Q8C2312yes—
333C19×C22⋊Q8C2312yes—
334C19×C22⋊Q8C2312yes—
335C19×C22⋊Q8C2314yes—
336C19×C22⋊Q8C2314yes—
337C19×C22⋊Q8C2318yes—
338C19×C22⋊Q8C2318yes—
339C19×C22⋊Q8C2312yes—
340C19×C22⋊Q8C2312yes—
341C19×C22⋊Q8C2312yes—
342C19×C22⋊Q8C2312yes—
343C19×C22⋊Q8C2312yes—
344C19×C22⋊Q8C2314yes—
345C19×C22⋊Q8C2314yes—
346C19×C22⋊Q8C2314yes—
347C19×C22⋊Q8C2314yes—
348C19×C22⋊Q8C2314yes—
349C19×C22⋊Q8C2318yes—
350C19×C22⋊Q8C2318yes—
351C19×C22⋊Q8C2318yes—
352C19×C22⋊Q8C2318yes—
353C19×C22⋊Q8C2318yes—
354C19×C22⋊Q8C2318yes—
355C19×C22⋊Q8C2318yes—
356C19×#121C2312yes—
357C19×#121C2312yes—
358C19×#121C2312yes—
359C19×#121C2312yes—
360C19×#121C2312yes—
361C19×#121C2312yes—
362C19×#121C2312yes—
363C19×#121C2312yes—
364C19×#121C2312yes—
365C19×#121C2312yes—
366C19×#121C2312yes—
367C19×#121C2314yes—
368C19×#121C2312yes—
369C19×#121C2314yes—
370C19×#121C2314yes—
371C19×#121C2312yes—
372C19×#121C2312yes—
373C19×#121C2314yes—
374C19×#121C2318yes—
375C19×#121C2314yes—
376C19×#121C2314yes—
377C19×#121C2318yes—
378C19×#121C2318yes—
379C19×#121C2318yes—
380C19×#121C2314yes—
381C19×#121C2314yes—
382C19×#121C2312yes—
383C19×#121C2312yes—
384C19×#121C2312yes—
385C19×#121C2312yes—
386C19×#121C2314yes—
387C19×#121C2314yes—
388C19×#121C2314yes—
389C19×#121C2314yes—
390C19×#121C2314yes—
391C19×#121C2318yes—
392C19×#121C2318yes—
393C19×#121C2318yes—
394C19×#121C2318yes—
395C19×#121C2318yes—
396C19×#121C2318yes—
397C19×#121C2318yes—
398C19×#121C2318yes—
399C19×#121C2318yes—
400C19×#121C2318yes—
401C19×#121C2318yes—
402C19×#121C2318yes—
403C19×#121C2318yes—
404C19×#121C2318yes—
405C19×#121C2318yes—
406C19×#121C2318yes—
407C19×#120C2314yes—
408C19×#120C2318yes—
409C19×#120C2318yes—
410C19×#120C2318yes—
411C19×#120C2318yes—
412C19×#120C2318yes—
413C19×#120C2318yes—
414C19×#120C2318yes—
415C19×#120C2318yes—
416C19×#120C2318yes—
417C4×Q8×C19C2312yes—
418C4×Q8×C19C2312yes—
419C4×Q8×C19C2312yes—
420C4×Q8×C19C2312yes—
421C4×Q8×C19C2312yes—
422C4×Q8×C19C2312yes—
423C4×Q8×C19C2312yes—
424C4×Q8×C19C2312yes—
425C4×Q8×C19C2312yes—
426C4×Q8×C19C2312yes—
427C4×Q8×C19C2314yes—
428C4×Q8×C19C2314yes—
429C4×Q8×C19C2314yes—
430C4×D4×C19C2314yes—
431C4×D4×C19C2312yes—
432C4×D4×C19C2312yes—
433C4×D4×C19C2314yes—
434C4×D4×C19C2314yes—
435C4×D4×C19C2312yes—
436C4×D4×C19C2312yes—
437C4×D4×C19C2312yes—
438C4×D4×C19C2312yes—
439C4×D4×C19C2314yes—
440C4×D4×C19C2312yes—
441C4×D4×C19C2312yes—
442C4×D4×C19C2314yes—
443C4×D4×C19C2314yes—
444C4×D4×C19C2314yes—
445C4×D4×C19C2312yes—
446C4×D4×C19C2312yes—
447C4×D4×C19C2312yes—
448C4×D4×C19C2314yes—
449C4×D4×C19C2312yes—
450C4×D4×C19C2314yes—
451C4×D4×C19C2312yes—
452C4×D4×C19C2314yes—
453C4×D4×C19C2314yes—
454C4×D4×C19C2314yes—
455C4×D4×C19C2314yes—
456C4×D4×C19C2314yes—
457C4×D4×C19C2312yes—
458C4×D4×C19C2312yes—
459C4×D4×C19C2312yes—
460C4×D4×C19C2312yes—
461C4×D4×C19C2312yes—
462C4×D4×C19C2318yes—
463C4×D4×C19C2318yes—
464C4×D4×C19C2318yes—
465C4×D4×C19C2318yes—
466C4×D4×C19C2318yes—
467C4×D4×C19C2318yes—
468C4×D4×C19C2314yes—
469C4×D4×C19C2318yes—
470C4×D4×C19C2318yes—
471C4×D4×C19C2314yes—
472C4×D4×C19C2318yes—
473C4×D4×C19C2318yes—
474C4×D4×C19C2318yes—
475C4×D4×C19C2314yes—
476C4×D4×C19C2314yes—
477C4×D4×C19C2318yes—
478C4×D4×C19C2314yes—
479C19×#117C2314yes—
480C19×#117C2314yes—
481C19×#117C2314yes—
482C19×#117C2314yes—
483C19×#117C2312yes—
484C19×#117C2312yes—
485C19×#117C2312yes—
486C19×#117C2314yes—
487C19×#117C2314yes—
488C19×#117C2314yes—
489C19×#117C2314yes—
490C19×#117C2318yes—
491C19×#117C2318yes—
492C19×#117C2314yes—
493C19×#117C2314yes—
494C19×#117C2318yes—
495C2×C4⋊C4×C19C2312yes—
496C2×C4⋊C4×C19C2312yes—
497C2×C4⋊C4×C19C2311yescharacteristic
498C2×C4⋊C4×C19C2312yes—
499C2×C4⋊C4×C19C2312yes—
500C2×C4⋊C4×C19C2312yes—
501C2×C4⋊C4×C19C2311yescharacteristic
502C2×C4⋊C4×C19C2312yes—
503C2×C4⋊C4×C19C2314yes—
504C2×C4⋊C4×C19C2314yes—
505C2×C4⋊C4×C19C2314yes—
506C2×C4⋊C4×C19C2318yes—
507C2×C22⋊C4×C19C2312yes—
508C2×C22⋊C4×C19C2312yes—
509C2×C22⋊C4×C19C2314yes—
510C2×C22⋊C4×C19C2314yes—
511C2×C22⋊C4×C19C2312yes—
512C2×C22⋊C4×C19C2312yes—
513C2×C22⋊C4×C19C2312yes—
514C2×C22⋊C4×C19C2318yes—
515C2×C22⋊C4×C19C2318yes—
516C2×C22⋊C4×C19C2318yes—
517C2×C22⋊C4×C19C2318yes—
518C2×C22⋊C4×C19C2318yes—
519C2×C42×C19C2311yescharacteristic
520C2×C42×C19C2311yescharacteristic
521C2×C42×C19C2311yescharacteristic
522C2×C42×C19C2311yescharacteristic
523C2×C42×C19C2311yescharacteristic
524C2×C42×C19C2311yescharacteristic
525C2×C42×C19C2311yescharacteristic
526C2×C42×C19C2311yescharacteristic
527C2×C42×C19C2311yescharacteristic
528C2×C42×C19C2311yescharacteristic
529C2×C42×C19C2311yescharacteristic
530C2×C42×C19C2311yescharacteristic
531C2×C42×C19C2312yes—
532C2×C42×C19C2314yes—
533C24×C19C2411yescharacteristic
534C24×C19C2412yes—
535C24×C19C2414yes—
536C24×C19C2418yes—
537#41×C19—28no—
538#41×C19—28no—
539#41×C19—28no—
540#41×C19—48no—
541#41×C19—48no—
542#41×C19—44no—
543#41×C19—416no—
544#41×C19—44no—
545#41×C19—44no—
546#41×C19—48no—
547#41×C19—44no—
548#41×C19—48no—
549#41×C19—48no—
550#41×C19—48no—
551#41×C19—48no—
552C2×Q8×C19—24no—
553C2×Q8×C19—44no—
554C2×Q8×C19—48no—
555C2×Q8×C19—48no—
556C2×Q8×C19C2412yes—
557C2×Q8×C19C2412yes—
558C2×Q8×C19C2412yes—
559C2×Q8×C19C2412yes—
560C2×Q8×C19C2412yes—
561C2×Q8×C19C2412yes—
562C2×Q8×C19C2412yes—
563C2×Q8×C19C2418yes—
564C2×Q8×C19C2414yes—
565C2×D4×C19—24no—
566C2×D4×C19—44no—
567C2×D4×C19—48no—
568C2×D4×C19—44no—
569C2×D4×C19—48no—
570C2×D4×C19—48no—
571C2×D4×C19—44no—
572C2×D4×C19—44no—
573C2×D4×C19—416no—
574C2×D4×C19—48no—
575C2×D4×C19—416no—
576C2×D4×C19C2414yes—
577C2×D4×C19C2414yes—
578C2×D4×C19C2412yes—
579C2×D4×C19C2412yes—
580C2×D4×C19C2412yes—
581C2×D4×C19C2414yes—
582C2×D4×C19C2414yes—
583C2×D4×C19C2414yes—
584C2×D4×C19C2412yes—
585C2×D4×C19C2412yes—
586C2×D4×C19C2412yes—
587C2×D4×C19C2412yes—
588C2×D4×C19C2412yes—
589C2×D4×C19C2412yes—
590C2×D4×C19C2418yes—
591C2×D4×C19C2412yes—
592C2×D4×C19C2418yes—
593C2×D4×C19C2414yes—
594C2×D4×C19C2418yes—
595C2×D4×C19C2414yes—
596C2×D4×C19C2414yes—
597C2×D4×C19C2414yes—
598C2×D4×C19C2418yes—
599C2×D4×C19C2412yes—
600C2×D4×C19C2418yes—
601C2×D4×C19C2414yes—
602C2×D4×C19C2418yes—
603C2×D4×C19C2414yes—
604C2×D4×C19C2418yes—
605C2×D4×C19C2414yes—
606C22×C4×C19—24no—
607C22×C4×C19—42no—
608C22×C4×C19—44no—
609C22×C4×C19—48no—
610C22×C4×C19—42no—
611C22×C4×C19C2411yescharacteristic
612C22×C4×C19C2411yescharacteristic
613C22×C4×C19C2411yescharacteristic
614C22×C4×C19C2411yescharacteristic
615C22×C4×C19C2411yescharacteristic
616C22×C4×C19C2411yescharacteristic
617C22×C4×C19C2411yescharacteristic
618C22×C4×C19C2411yescharacteristic
619C22×C4×C19C2411yescharacteristic
620C22×C4×C19C2411yescharacteristic
621C22×C4×C19C2412yes—
622C22×C4×C19C2414yes—
623C22×C4×C19C2414yes—
624C22×C4×C19C2414yes—
625C22×C4×C19C2414yes—
626C22×C4×C19C2411yescharacteristic
627C22×C4×C19C2411yescharacteristic
628C22×C4×C19C2411yescharacteristic
629C22×C4×C19C2411yescharacteristic
630C22×C4×C19C2411yescharacteristic
631C22×C4×C19C2411yescharacteristic
632C22×C4×C19C2411yescharacteristic
633C22×C4×C19C2414yes—
634C22×C4×C19C2414yes—
635C22×C4×C19C2412yes—
636C22×C4×C19C2412yes—
637C22×C4×C19C2414yes—
638C22×C4×C19C2414yes—
639C22×C4×C19C2414yes—
640C22×C4×C19C2418yes—
641C22×C4×C19C2418yes—
642C22×C4×C19C2418yes—
643C22×C4×C19C2418yes—
644C22×C4×C19C2418yes—
645C22×C4×C19C2414yes—
646C22×C4×C19C2411yescharacteristic
647C4⋊C4×C19C2412yes—
648C4⋊C4×C19C2414yes—
649C4⋊C4×C19C2412yes—
650C4⋊C4×C19C2412yes—
651C4⋊C4×C19C2412yes—
652C4⋊C4×C19C2412yes—
653C4⋊C4×C19C2412yes—
654C4⋊C4×C19C2414yes—
655C4⋊C4×C19C2418yes—
656C4⋊C4×C19C2414yes—
657C4⋊C4×C19C2412yes—
658C4⋊C4×C19C2414yes—
659C4⋊C4×C19C2414yes—
660C4⋊C4×C19C2414yes—
661C4⋊C4×C19C2412yes—
662C4⋊C4×C19C2412yes—
663C4⋊C4×C19C2412yes—
664C4⋊C4×C19C2414yes—
665C4⋊C4×C19C2414yes—
666C4⋊C4×C19C2412yes—
667C4⋊C4×C19C2414yes—
668C4⋊C4×C19C2418yes—
669C4⋊C4×C19C2418yes—
670C4⋊C4×C19C2418yes—
671C4⋊C4×C19C2414yes—
672C4⋊C4×C19C2414yes—
673C4⋊C4×C19C2412yes—
674C4⋊C4×C19C2414yes—
675C4⋊C4×C19C2418yes—
676C4⋊C4×C19C2418yes—
677C4⋊C4×C19C2414yes—
678C4⋊C4×C19C2414yes—
679C4⋊C4×C19C2414yes—
680C4⋊C4×C19C2414yes—
681C4⋊C4×C19C2412yes—
682C4⋊C4×C19C2412yes—
683C22⋊C4×C19C2414yes—
684C22⋊C4×C19C2414yes—
685C22⋊C4×C19C2414yes—
686C22⋊C4×C19C2414yes—
687C22⋊C4×C19C2414yes—
688C22⋊C4×C19C2414yes—
689C22⋊C4×C19C2414yes—
690C22⋊C4×C19C2414yes—
691C22⋊C4×C19C2414yes—
692C22⋊C4×C19C2414yes—
693C22⋊C4×C19C2418yes—
694C22⋊C4×C19C2418yes—
695C22⋊C4×C19C2418yes—
696C22⋊C4×C19C2414yes—
697C22⋊C4×C19C2414yes—
698C22⋊C4×C19C2414yes—
699C22⋊C4×C19C2414yes—
700C22⋊C4×C19C2414yes—
701C22⋊C4×C19C2414yes—
702C22⋊C4×C19C2414yes—
703C22⋊C4×C19C2414yes—
704C22⋊C4×C19C2418yes—
705C22⋊C4×C19C2418yes—
706C22⋊C4×C19C2414yes—
707C22⋊C4×C19C2418yes—
708C22⋊C4×C19C2418yes—
709C22⋊C4×C19C2414yes—
710C22⋊C4×C19C2414yes—
711C22⋊C4×C19C2414yes—
712C22⋊C4×C19C2418yes—
713C22⋊C4×C19C2414yes—
714C22⋊C4×C19C2414yes—
715C22⋊C4×C19C2414yes—
716C22⋊C4×C19C2414yes—
717C22⋊C4×C19C2418yes—
718C22⋊C4×C19C2414yes—
719C22⋊C4×C19C2418yes—
720C42×C19C2411yescharacteristic
721C42×C19C2411yescharacteristic
722C42×C19C2411yescharacteristic
723C42×C19C2411yescharacteristic
724C42×C19C2411yescharacteristic
725C42×C19C2411yescharacteristic
726C42×C19C2411yescharacteristic
727C42×C19C2411yescharacteristic
728C42×C19C2411yescharacteristic
729C42×C19C2411yescharacteristic
730C42×C19C2411yescharacteristic
731C42×C19C2411yescharacteristic
732C42×C19C2411yescharacteristic
733C42×C19C2411yescharacteristic
734C42×C19C2411yescharacteristic
735C42×C19C2411yescharacteristic
736C42×C19C2414yes—
737C42×C19C2414yes—
738C42×C19C2414yes—
739C42×C19C2414yes—
740C42×C19C2414yes—
741C42×C19C2418yes—
742C42×C19C2418yes—
743#62830C1911yesmaximal, characteristic, direct product factor, Sylow
744C23×C19—22no—
745C23×C19—22no—
746C23×C19—24no—
747C23×C19—28no—
748C23×C19—41no—
749C23×C19—44no—
750C23×C19—42no—
751C23×C19—44no—
752C23×C19—42no—
753C23×C19—48no—
754C23×C19—48no—
755C23×C19—48no—
756C23×C19C2514yes—
757C23×C19C2514yes—
758C23×C19C2514yes—
759C23×C19C2511yescharacteristic
760C23×C19C2514yes—
761C23×C19C2511yescharacteristic
762C23×C19C2511yescharacteristic
763Q8×C19—24no—
764Q8×C19—24no—
765Q8×C19—24no—
766Q8×C19—24no—
767Q8×C19—24no—
768Q8×C19—24no—
769Q8×C19—48no—
770Q8×C19—44no—
771Q8×C19—42no—
772D4×C19—28no—
773D4×C19—28no—
774D4×C19—28no—
775D4×C19—28no—
776D4×C19—28no—
777D4×C19—24no—
778D4×C19—24no—
779D4×C19—24no—
780D4×C19—24no—
781D4×C19—24no—
782D4×C19—24no—
783D4×C19—24no—
784D4×C19—24no—
785D4×C19—48no—
786D4×C19—48no—
787D4×C19—48no—
788D4×C19—44no—
789D4×C19—42no—
790D4×C19—44no—
791D4×C19—42no—
792D4×C19—44no—
793D4×C19—48no—
794D4×C19—48no—
795D4×C19—44no—
796D4×C19—44no—
797D4×C19—44no—
798D4×C19—42no—
799D4×C19—44no—
800D4×C19—48no—
801D4×C19—48no—
802C2×C4×C19—22no—
803C2×C4×C19—24no—
804C2×C4×C19—22no—
805C2×C4×C19—22no—
806C2×C4×C19—22no—
807C2×C4×C19—22no—
808C2×C4×C19—22no—
809C2×C4×C19—22no—
810C2×C4×C19—28no—
811C2×C4×C19—28no—
812C2×C4×C19—28no—
813C2×C4×C19—22no—
814C2×C4×C19—22no—
815C2×C4×C19—28no—
816C2×C4×C19—22no—
817C2×C4×C19—41no—
818C2×C4×C19—44no—
819C2×C4×C19—41no—
820C2×C4×C19—41no—
821C2×C4×C19—41no—
822C2×C4×C19—41no—
823C2×C4×C19—42no—
824C2×C4×C19—41no—
825C2×C4×C19—41no—
826C2×C4×C19—44no—
827C2×C4×C19—44no—
828C2×C4×C19—44no—
829C2×C4×C19—42no—
830C2×C4×C19—48no—
831C2×C4×C19—48no—
832C2×C4×C19—48no—
833C2×C4×C19—48no—
834C2×C4×C19—44no—
835C2×C4×C19—44no—
836C2×C4×C19—48no—
837C2×C4×C19H(5,𝔽2)14yes—
838C2×C4×C19C2511yescharacteristic
839C2×C4×C19C2511yescharacteristic
840C2×C4×C19C2511yescharacteristic
841C2×C4×C19C2511yescharacteristic
842C2×C4×C19C2514yes—
843C2×C4×C19C2514yes—
844C2×C4×C19C2511yescharacteristic
845C2×C4×C19C2511yescharacteristic
846C2×C4×C19C2511yescharacteristic
847C2×C4×C19C2514yes—
848C2×C4×C19C2511yescharacteristic
849C2×C4×C19C2511yescharacteristic
850C2×C4×C19C2514yes—
851C2×C4×C19C2514yes—
852C2×C4×C19C2514yes—
853C2×C4×C19C2514yes—
854C2×C4×C19C2514yes—
855C2×C4×C19C2511yescharacteristic
856C2×C4×C19C2511yescharacteristic
857C2×C4×C19C2511yescharacteristic
858#3562C2×C1914yescomplemented
859#3560C2×C1914yescomplemented
860#3552C2×C1912yescomplemented
861#3551C2×C1914yescomplemented
862#3547C2×C1912yescomplemented
863#3546C2×C1912yescomplemented
864#3543C2×C1912yescomplemented
865#3534C2×C1914yescomplemented
866#3520C2×C1912yescomplemented
867#3519C2×C1914yescomplemented
868#3519C2×C1912yescomplemented
869#3517C2×C1912yescomplemented
870#3514C2×C1914yescomplemented
871#3514C2×C1912yescomplemented
872#3512C2×C1912yescomplemented
873#3507C2×C1911yescharacteristic, complemented
874#3506C2×C1911yescharacteristic, complemented
875#3505C2×C1914yescomplemented
876#3500C2×C1912yescomplemented
877#3497C2×C1911yescharacteristic, complemented
878#3496C2×C1911yescharacteristic, complemented
879#3494C2×C1914yescomplemented
880#3489C2×C1912yescomplemented
881#3488C2×C1912yescomplemented
882#3444C2×C1911yescharacteristic, complemented
883C2×#532C2×C1911yescharacteristic, complemented
884C2×#529C2×C1911yescharacteristic, complemented
885C22×C19—21no—
886C22×C19—21no—
887C22×C19—21no—
888C22×C19—21no—
889C22×C19—21no—
890C22×C19—24no—
891C22×C19—24no—
892C22×C19—24no—
893C22×C19—24no—
894C22×C19—21no—
895C22×C19—24no—
896C22×C19—24no—
897C22×C19—21no—
898C22×C19—24no—
899C22×C19—24no—
900C22×C19—24no—
901C22×C19—24no—
902C22×C19—24no—
903C22×C19—24no—
904C22×C19—44no—
905C22×C19—88no—
906C22×C19—84no—
907C22×C19—168no—
908C22×C19C2×H(5,𝔽2)12yes—
909C22×C19#58512yes—
910C22×C19C2611yescharacteristic
911C4×C19—21no—
912C4×C19—21no—
913C4×C19—24no—
914C4×C19—24no—
915C4×C19—24no—
916C4×C19—24no—
917C4×C19—21no—
918C4×C19—21no—
919C4×C19—21no—
920C4×C19—24no—
921C4×C19—21no—
922C4×C19—21no—
923C4×C19—21no—
924C4×C19—21no—
925C4×C19—24no—
926C4×C19—24no—
927C4×C19—24no—
928C4×C19C2×H(5,𝔽2)12yes—
929C4×C19C2×H(5,𝔽2)12yes—
930C4×C19#58512yes—
931C2×2−1+4C22×C1912yescomplemented
932C2×H(5,𝔽2)C22×C1912yescomplemented
933C22×#41C22×C1912yescomplemented
934#563C22×C1918yescomplemented
935#562C22×C1918yescomplemented
936#560C22×C1918yescomplemented
937#560C22×C1918yescomplemented
938#559C22×C1914yescomplemented
939#559C22×C1912yescomplemented
940#557C22×C1912yescomplemented
941#556C22×C1912yescomplemented
942#556C22×C1914yescomplemented
943#556C22×C1912yescomplemented
944#555C22×C1918yescomplemented
945#555C22×C1912yescomplemented
946#555C22×C1914yescomplemented
947#554C22×C1912yescomplemented
948#554C22×C1914yescomplemented
949#553C22×C1918yescomplemented
950#553C22×C1918yescomplemented
951#553C22×C1914yescomplemented
952#553C22×C1914yescomplemented
953#553C22×C1918yescomplemented
954#553C22×C1914yescomplemented
955#553C22×C1918yescomplemented
956#553C22×C1914yescomplemented
957#553C22×C1914yescomplemented
958#552C22×C1914yescomplemented
959#552C22×C1914yescomplemented
960#552C22×C1914yescomplemented
961#551C22×C1918yescomplemented
962#551C22×C1918yescomplemented
963#551C22×C1918yescomplemented
964#551C22×C1918yescomplemented
965#550C22×C1914yescomplemented
966#550C22×C1912yescomplemented
967#550C22×C1912yescomplemented
968#550C22×C1912yescomplemented
969#550C22×C1914yescomplemented
970D4×Q8C22×C1914yescomplemented
971D4×Q8C22×C1912yescomplemented
972D4×Q8C22×C1912yescomplemented
973#548C22×C1914yescomplemented
974#548C22×C1914yescomplemented
975#548C22×C1914yescomplemented
976#548C22×C1914yescomplemented
977#548C22×C1914yescomplemented
978#548C22×C1914yescomplemented
979#547C22×C1918yescomplemented
980#547C22×C1914yescomplemented
981#547C22×C1912yescomplemented
982#547C22×C1912yescomplemented
983#547C22×C1912yescomplemented
984#546C22×C1918yescomplemented
985#546C22×C1914yescomplemented
986#546C22×C1914yescomplemented
987#546C22×C1918yescomplemented
988#546C22×C1918yescomplemented
989#546C22×C1914yescomplemented
990#546C22×C1914yescomplemented
991#546C22×C1914yescomplemented
992#546C22×C1914yescomplemented
993#546C22×C1918yescomplemented
994#546C22×C1918yescomplemented
995#546C22×C1914yescomplemented
996#546C22×C1914yescomplemented
997D42C22×C1914yescomplemented
998D42C22×C1918yescomplemented
999D42C22×C1912yescomplemented
1000D42C22×C1912yescomplemented
1001D42C22×C1914yescomplemented
1002#544C22×C1914yescomplemented
1003#542C22×C1914yescomplemented
1004#542C22×C1914yescomplemented
1005#542C22×C1918yescomplemented
1006#541C22×C1914yescomplemented
1007#540C22×C1914yescomplemented
1008#540C22×C1914yescomplemented
1009#540C22×C1914yescomplemented
1010#540C22×C1918yescomplemented
1011#540C22×C1918yescomplemented
1012#539C22×C1918yescomplemented
1013#539C22×C1914yescomplemented
1014#539C22×C1918yescomplemented
1015#538C22×C1918yescomplemented
1016#538C22×C1914yescomplemented
1017#538C22×C1918yescomplemented
1018#538C22×C1918yescomplemented
1019#538C22×C1918yescomplemented
1020#538C22×C1918yescomplemented
1021#537C22×C1912yescomplemented
1022#537C22×C1914yescomplemented
1023#537C22×C1912yescomplemented
1024#537C22×C1914yescomplemented
1025#537C22×C1914yescomplemented
1026#536C22×C1912yescomplemented
1027#536C22×C1914yescomplemented
1028#536C22×C1914yescomplemented
1029#535C22×C1912yescomplemented
1030#535C22×C1914yescomplemented
1031#535C22×C1914yescomplemented
1032#535C22×C1914yescomplemented
1033#534C22×C1914yescomplemented
1034#534C22×C1918yescomplemented
1035#533C22×C1911yescharacteristic, complemented
1036#533C22×C1911yescharacteristic, complemented
1037#533C22×C1911yescharacteristic, complemented
1038#532C22×C1911yescharacteristic
1039#532C22×C1912yescomplemented
1040#532C22×C1911yescharacteristic, complemented
1041#532C22×C1912yescomplemented
1042#532C22×C1911yescharacteristic, complemented
1043#532C22×C1911yescharacteristic, complemented
1044#532C22×C1912yescomplemented
1045#532C22×C1912yescomplemented
1046#532C22×C1912yescomplemented
1047#532C22×C1912yescomplemented
1048#532C22×C1911yescharacteristic, complemented
1049#532C22×C1911yescharacteristic, complemented
1050#532C22×C1911yescharacteristic, complemented
1051#532C22×C1914yescomplemented
1052#532C22×C1914yescomplemented
1053C2×C4⋊Q8C22×C1911yescharacteristic, complemented
1054C2×#127C22×C1911yescharacteristic, complemented
1055#529C22×C1912yescomplemented
1056#529C22×C1912yescomplemented
1057#529C22×C1912yescomplemented
1058#529C22×C1912yescomplemented
1059#529C22×C1912yescomplemented
1060#529C22×C1912yescomplemented
1061#529C22×C1912yescomplemented
1062#529C22×C1912yescomplemented
1063#529C22×C1912yescomplemented
1064#529C22×C1912yescomplemented
1065#529C22×C1912yescomplemented
1066#529C22×C1912yescomplemented
1067#529C22×C1912yescomplemented
1068#529C22×C1912yescomplemented
1069#529C22×C1914yescomplemented
1070#529C22×C1914yescomplemented
1071#529C22×C1914yescomplemented
1072C2×#126C22×C1912yescomplemented
1073C2×#125C22×C1911yescharacteristic, complemented
1074C2×#124C22×C1911yescharacteristic, complemented
1075C2×#124C22×C1912yescomplemented
1076C2×#124C22×C1914yescomplemented
1077#525C22×C1912yescomplemented
1078#525C22×C1912yescomplemented
1079#525C22×C1912yescomplemented
1080#525C22×C1914yescomplemented
1081#525C22×C1914yescomplemented
1082#525C22×C1914yescomplemented
1083C2×#123C22×C1912yescomplemented
1084C2×C22⋊Q8C22×C1911yescharacteristic, complemented
1085C2×C22⋊Q8C22×C1914yescomplemented
1086C2×#121C22×C1911yescharacteristic
1087C2×#121C22×C1912yescomplemented
1088C2×#121C22×C1912yescomplemented
1089C2×#121C22×C1914yescomplemented
1090C2×#121C22×C1914yescomplemented
1091#520C22×C1912yescomplemented
1092#520C22×C1912yescomplemented
1093#520C22×C1914yescomplemented
1094#518C22×C1914yescomplemented
1095#518C22×C1918yescomplemented
1096C4×#41C22×C1912yescomplemented
1097C4×#41C22×C1912yescomplemented
1098C4×#41C22×C1912yescomplemented
1099C2×C4×Q8C22×C1911yescharacteristic, complemented
1100C2×C4×D4C22×C1911yescharacteristic, complemented
1101C2×C4×D4C22×C1912yescomplemented
1102C2×C4×D4C22×C1912yescomplemented
1103C2×C4×D4C22×C1912yescomplemented
1104C2×#117C22×C1912yescomplemented
1105C22×C42C22×C1911yescharacteristic, complemented
1106C2×C19—22no—
1107C2×C19—22no—
1108C2×C19—41no—
1109C2×C19—44no—
1110C2×C19—44no—
1111C2×C19—44no—
1112C2×C19—44no—
1113C2×C19C22×H(5,𝔽2)11yescharacteristic
1114C2×C19C2×#58511yescharacteristic
1115C2×C19C2×#58511yescharacteristic
11162−1+4—48no—
1117H(5,𝔽2)—48no—
1118C2×#41—48no—
1119C2×#41C23×C1912yes—
1120C2×#41C23×C1912yes—
1121C2×#41C23×C1912yes—
1122C2×#41C23×C1912yes—
1123C2×#41C23×C1912yes—
1124C2×#41C23×C1914yes—
1125C2×#41C23×C1914yes—
1126C2×#41C23×C1914yes—
1127C2×#41C23×C1914yes—
1128C2×#41C23×C1914yes—
1129C2×#41C23×C1912yes—
1130C2×#41C23×C1912yes—
1131C2×#41C23×C1914yes—
1132C2×#41C23×C1914yes—
1133C2×#41C23×C1918yes—
1134C22×Q8C23×C1911yescharacteristic
1135C22×Q8C23×C1914yes—
1136C22×Q8C23×C1912yes—
1137C22×Q8C23×C1914yes—
1138C22×D4C23×C1911yescharacteristic
1139C22×D4C23×C1912yes—
1140C22×D4C23×C1912yes—
1141C22×D4C23×C1912yes—
1142C22×D4C23×C1918yes—
1143C22×D4C23×C1914yes—
1144C22×D4C23×C1914yes—
1145C22×D4C23×C1918yes—
1146C22×D4C23×C1914yes—
1147C22×D4C23×C1912yes—
1148C22×D4C23×C1914yes—
1149C23×C4C23×C1911yescharacteristic
1150C23×C4C23×C1912yes—
1151C23×C4C23×C1911yescharacteristic
1152C23×C4C23×C1914yes—
1153C23×C4C23×C1911yescharacteristic
1154C4⋊Q8C23×C1911yescharacteristic
1155C4⋊Q8C23×C1912yes—
1156C4⋊Q8C23×C1912yes—
1157C4⋊Q8C23×C1911yescharacteristic
1158C4⋊Q8C23×C1912yes—
1159C4⋊Q8C23×C1911yescharacteristic
1160C4⋊Q8C23×C1911yescharacteristic
1161C4⋊Q8C23×C1911yescharacteristic
1162C4⋊Q8C23×C1914yes—
1163C4⋊Q8C23×C1914yes—
1164C4⋊Q8C23×C1918yes—
1165#127C23×C1911yescharacteristic
1166#127C23×C1912yes—
1167#127C23×C1912yes—
1168#127C23×C1911yescharacteristic
1169#127C23×C1912yes—
1170#127C23×C1911yescharacteristic
1171#127C23×C1914yes—
1172#127C23×C1914yes—
1173#127C23×C1918yes—
1174#126C23×C1914yes—
1175#126C23×C1914yes—
1176#126C23×C1914yes—
1177#126C23×C1914yes—
1178#126C23×C1914yes—
1179#126C23×C1914yes—
1180#126C23×C1918yes—
1181#126C23×C1918yes—
1182#126C23×C1918yes—
1183#126C23×C1918yes—
1184#126C23×C1918yes—
1185#126C23×C1918yes—
1186#126C23×C1918yes—
1187#125C23×C1912yes—
1188#125C23×C1912yes—
1189#125C23×C1912yes—
1190#125C23×C1912yes—
1191#125C23×C1912yes—
1192#125C23×C1912yes—
1193#125C23×C1912yes—
1194#125C23×C1914yes—
1195#125C23×C1918yes—
1196#125C23×C1918yes—
1197#125C23×C1918yes—
1198#124C23×C1912yes—
1199#124C23×C1912yes—
1200#124C23×C1912yes—
1201#124C23×C1912yes—
1202#124C23×C1912yes—
1203#124C23×C1912yes—
1204#124C23×C1912yes—
1205#124C23×C1914yes—
1206#124C23×C1912yes—
1207#124C23×C1914yes—
1208#124C23×C1914yes—
1209#124C23×C1914yes—
1210#124C23×C1918yes—
1211#124C23×C1918yes—
1212#124C23×C1912yes—
1213#124C23×C1912yes—
1214#124C23×C1912yes—
1215#124C23×C1914yes—
1216#124C23×C1918yes—
1217#124C23×C1918yes—
1218#124C23×C1918yes—
1219#124C23×C1918yes—
1220#123C23×C1914yes—
1221#123C23×C1914yes—
1222#123C23×C1914yes—
1223#123C23×C1914yes—
1224#123C23×C1914yes—
1225#123C23×C1914yes—
1226#123C23×C1914yes—
1227#123C23×C1918yes—
1228#123C23×C1918yes—
1229#123C23×C1918yes—
1230#123C23×C1918yes—
1231#123C23×C1918yes—
1232#123C23×C1918yes—
1233#123C23×C1918yes—
1234#123C23×C1918yes—
1235#123C23×C1918yes—
1236#123C23×C1918yes—
1237#123C23×C1918yes—
1238#123C23×C1918yes—
1239#123C23×C1918yes—
1240#123C23×C1918yes—
1241#123C23×C1918yes—
1242#123C23×C1918yes—
1243C22⋊Q8C23×C1912yes—
1244C22⋊Q8C23×C1912yes—
1245C22⋊Q8C23×C1912yes—
1246C22⋊Q8C23×C1912yes—
1247C22⋊Q8C23×C1912yes—
1248C22⋊Q8C23×C1914yes—
1249C22⋊Q8C23×C1914yes—
1250C22⋊Q8C23×C1918yes—
1251C22⋊Q8C23×C1918yes—
1252C22⋊Q8C23×C1912yes—
1253C22⋊Q8C23×C1912yes—
1254C22⋊Q8C23×C1912yes—
1255C22⋊Q8C23×C1912yes—
1256C22⋊Q8C23×C1912yes—
1257C22⋊Q8C23×C1914yes—
1258C22⋊Q8C23×C1914yes—
1259C22⋊Q8C23×C1914yes—
1260C22⋊Q8C23×C1914yes—
1261C22⋊Q8C23×C1914yes—
1262C22⋊Q8C23×C1918yes—
1263C22⋊Q8C23×C1918yes—
1264C22⋊Q8C23×C1918yes—
1265C22⋊Q8C23×C1918yes—
1266C22⋊Q8C23×C1918yes—
1267C22⋊Q8C23×C1918yes—
1268C22⋊Q8C23×C1918yes—
1269#121C23×C1912yes—
1270#121C23×C1912yes—
1271#121C23×C1912yes—
1272#121C23×C1912yes—
1273#121C23×C1912yes—
1274#121C23×C1912yes—
1275#121C23×C1912yes—
1276#121C23×C1912yes—
1277#121C23×C1912yes—
1278#121C23×C1912yes—
1279#121C23×C1912yes—
1280#121C23×C1914yes—
1281#121C23×C1912yes—
1282#121C23×C1914yes—
1283#121C23×C1914yes—
1284#121C23×C1912yes—
1285#121C23×C1912yes—
1286#121C23×C1914yes—
1287#121C23×C1918yes—
1288#121C23×C1914yes—
1289#121C23×C1914yes—
1290#121C23×C1918yes—
1291#121C23×C1918yes—
1292#121C23×C1918yes—
1293#121C23×C1914yes—
1294#121C23×C1914yes—
1295#121C23×C1912yes—
1296#121C23×C1912yes—
1297#121C23×C1912yes—
1298#121C23×C1912yes—
1299#121C23×C1914yes—
1300#121C23×C1914yes—
1301#121C23×C1914yes—
1302#121C23×C1914yes—
1303#121C23×C1914yes—
1304#121C23×C1918yes—
1305#121C23×C1918yes—
1306#121C23×C1918yes—
1307#121C23×C1918yes—
1308#121C23×C1918yes—
1309#121C23×C1918yes—
1310#121C23×C1918yes—
1311#121C23×C1918yes—
1312#121C23×C1918yes—
1313#121C23×C1918yes—
1314#121C23×C1918yes—
1315#121C23×C1918yes—
1316#121C23×C1918yes—
1317#121C23×C1918yes—
1318#121C23×C1918yes—
1319#121C23×C1918yes—
1320#120C23×C1914yes—
1321#120C23×C1918yes—
1322#120C23×C1918yes—
1323#120C23×C1918yes—
1324#120C23×C1918yes—
1325#120C23×C1918yes—
1326#120C23×C1918yes—
1327#120C23×C1918yes—
1328#120C23×C1918yes—
1329#120C23×C1918yes—
1330C4×Q8C23×C1912yes—
1331C4×Q8C23×C1912yes—
1332C4×Q8C23×C1912yes—
1333C4×Q8C23×C1912yes—
1334C4×Q8C23×C1912yes—
1335C4×Q8C23×C1912yes—
1336C4×Q8C23×C1912yes—
1337C4×Q8C23×C1912yes—
1338C4×Q8C23×C1912yes—
1339C4×Q8C23×C1912yes—
1340C4×Q8C23×C1914yes—
1341C4×Q8C23×C1914yes—
1342C4×Q8C23×C1914yes—
1343C4×D4C23×C1914yes—
1344C4×D4C23×C1912yes—
1345C4×D4C23×C1912yes—
1346C4×D4C23×C1914yes—
1347C4×D4C23×C1914yes—
1348C4×D4C23×C1912yes—
1349C4×D4C23×C1912yes—
1350C4×D4C23×C1912yes—
1351C4×D4C23×C1912yes—
1352C4×D4C23×C1914yes—
1353C4×D4C23×C1912yes—
1354C4×D4C23×C1912yes—
1355C4×D4C23×C1914yes—
1356C4×D4C23×C1914yes—
1357C4×D4C23×C1914yes—
1358C4×D4C23×C1912yes—
1359C4×D4C23×C1912yes—
1360C4×D4C23×C1912yes—
1361C4×D4C23×C1914yes—
1362C4×D4C23×C1912yes—
1363C4×D4C23×C1914yes—
1364C4×D4C23×C1912yes—
1365C4×D4C23×C1914yes—
1366C4×D4C23×C1914yes—
1367C4×D4C23×C1914yes—
1368C4×D4C23×C1914yes—
1369C4×D4C23×C1914yes—
1370C4×D4C23×C1912yes—
1371C4×D4C23×C1912yes—
1372C4×D4C23×C1912yes—
1373C4×D4C23×C1912yes—
1374C4×D4C23×C1912yes—
1375C4×D4C23×C1918yes—
1376C4×D4C23×C1918yes—
1377C4×D4C23×C1918yes—
1378C4×D4C23×C1918yes—
1379C4×D4C23×C1918yes—
1380C4×D4C23×C1918yes—
1381C4×D4C23×C1914yes—
1382C4×D4C23×C1918yes—
1383C4×D4C23×C1918yes—
1384C4×D4C23×C1914yes—
1385C4×D4C23×C1918yes—
1386C4×D4C23×C1918yes—
1387C4×D4C23×C1918yes—
1388C4×D4C23×C1914yes—
1389C4×D4C23×C1914yes—
1390C4×D4C23×C1918yes—
1391C4×D4C23×C1914yes—
1392#117C23×C1914yes—
1393#117C23×C1914yes—
1394#117C23×C1914yes—
1395#117C23×C1914yes—
1396#117C23×C1912yes—
1397#117C23×C1912yes—
1398#117C23×C1912yes—
1399#117C23×C1914yes—
1400#117C23×C1914yes—
1401#117C23×C1914yes—
1402#117C23×C1914yes—
1403#117C23×C1918yes—
1404#117C23×C1918yes—
1405#117C23×C1914yes—
1406#117C23×C1914yes—
1407#117C23×C1918yes—
1408C2×C4⋊C4C23×C1912yes—
1409C2×C4⋊C4C23×C1912yes—
1410C2×C4⋊C4C23×C1911yescharacteristic
1411C2×C4⋊C4C23×C1912yes—
1412C2×C4⋊C4C23×C1912yes—
1413C2×C4⋊C4C23×C1912yes—
1414C2×C4⋊C4C23×C1911yescharacteristic
1415C2×C4⋊C4C23×C1912yes—
1416C2×C4⋊C4C23×C1914yes—
1417C2×C4⋊C4C23×C1914yes—
1418C2×C4⋊C4C23×C1914yes—
1419C2×C4⋊C4C23×C1918yes—
1420C2×C22⋊C4C23×C1912yes—
1421C2×C22⋊C4C23×C1912yes—
1422C2×C22⋊C4C23×C1914yes—
1423C2×C22⋊C4C23×C1914yes—
1424C2×C22⋊C4C23×C1912yes—
1425C2×C22⋊C4C23×C1912yes—
1426C2×C22⋊C4C23×C1912yes—
1427C2×C22⋊C4C23×C1918yes—
1428C2×C22⋊C4C23×C1918yes—
1429C2×C22⋊C4C23×C1918yes—
1430C2×C22⋊C4C23×C1918yes—
1431C2×C22⋊C4C23×C1918yes—
1432C2×C42C23×C1911yescharacteristic
1433C2×C42C23×C1912yes—
1434C2×C42C23×C1911yescharacteristic
1435C2×C42C23×C1911yescharacteristic
1436C2×C42C23×C1911yescharacteristic
1437C2×C42C23×C1914yes—
1438C2×C42C23×C1911yescharacteristic
1439C2×C42C23×C1911yescharacteristic
1440C2×C42C23×C1911yescharacteristic
1441C2×C42C23×C1911yescharacteristic
1442C2×C42C23×C1911yescharacteristic
1443C2×C42C23×C1911yescharacteristic
1444C2×C42C23×C1911yescharacteristic
1445C2×C42C23×C1911yescharacteristic
1446C19#6283011yescharacteristic, direct product factor, Sylow
1447C24C24×C1911yescharacteristic
1448C24C24×C1912yes—
1449C24C24×C1914yes—
1450C24C24×C1918yes—
1451#41—28no—
1452#41—28no—
1453#41—28no—
1454#41—48no—
1455#41—48no—
1456#41—44no—
1457#41—416no—
1458#41—44no—
1459#41—44no—
1460#41—48no—
1461#41—44no—
1462#41—48no—
1463#41—48no—
1464#41—48no—
1465#41—48no—
1466C2×Q8—24no—
1467C2×Q8—44no—
1468C2×Q8—48no—
1469C2×Q8—48no—
1470C2×Q8C24×C1912yes—
1471C2×Q8C24×C1912yes—
1472C2×Q8C24×C1912yes—
1473C2×Q8C24×C1912yes—
1474C2×Q8C24×C1912yes—
1475C2×Q8C24×C1912yes—
1476C2×Q8C24×C1912yes—
1477C2×Q8C24×C1918yes—
1478C2×Q8C24×C1914yes—
1479C2×D4—24no—
1480C2×D4—44no—
1481C2×D4—48no—
1482C2×D4—44no—
1483C2×D4—48no—
1484C2×D4—48no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—416no—
1488C2×D4—48no—
1489C2×D4—416no—
1490C2×D4C24×C1914yes—
1491C2×D4C24×C1914yes—
1492C2×D4C24×C1912yes—
1493C2×D4C24×C1912yes—
1494C2×D4C24×C1912yes—
1495C2×D4C24×C1914yes—
1496C2×D4C24×C1914yes—
1497C2×D4C24×C1914yes—
1498C2×D4C24×C1912yes—
1499C2×D4C24×C1912yes—
1500C2×D4C24×C1912yes—
1501C2×D4C24×C1912yes—
1502C2×D4C24×C1912yes—
1503C2×D4C24×C1912yes—
1504C2×D4C24×C1918yes—
1505C2×D4C24×C1912yes—
1506C2×D4C24×C1918yes—
1507C2×D4C24×C1914yes—
1508C2×D4C24×C1918yes—
1509C2×D4C24×C1914yes—
1510C2×D4C24×C1914yes—
1511C2×D4C24×C1914yes—
1512C2×D4C24×C1918yes—
1513C2×D4C24×C1912yes—
1514C2×D4C24×C1918yes—
1515C2×D4C24×C1914yes—
1516C2×D4C24×C1918yes—
1517C2×D4C24×C1914yes—
1518C2×D4C24×C1918yes—
1519C2×D4C24×C1914yes—
1520C22×C4—24no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—48no—
1524C22×C4—42no—
1525C22×C4C24×C1911yescharacteristic
1526C22×C4C24×C1911yescharacteristic
1527C22×C4C24×C1911yescharacteristic
1528C22×C4C24×C1911yescharacteristic
1529C22×C4C24×C1911yescharacteristic
1530C22×C4C24×C1911yescharacteristic
1531C22×C4C24×C1911yescharacteristic
1532C22×C4C24×C1911yescharacteristic
1533C22×C4C24×C1911yescharacteristic
1534C22×C4C24×C1911yescharacteristic
1535C22×C4C24×C1912yes—
1536C22×C4C24×C1914yes—
1537C22×C4C24×C1914yes—
1538C22×C4C24×C1914yes—
1539C22×C4C24×C1914yes—
1540C22×C4C24×C1911yescharacteristic
1541C22×C4C24×C1911yescharacteristic
1542C22×C4C24×C1911yescharacteristic
1543C22×C4C24×C1911yescharacteristic
1544C22×C4C24×C1911yescharacteristic
1545C22×C4C24×C1911yescharacteristic
1546C22×C4C24×C1911yescharacteristic
1547C22×C4C24×C1914yes—
1548C22×C4C24×C1914yes—
1549C22×C4C24×C1912yes—
1550C22×C4C24×C1912yes—
1551C22×C4C24×C1914yes—
1552C22×C4C24×C1914yes—
1553C22×C4C24×C1914yes—
1554C22×C4C24×C1918yes—
1555C22×C4C24×C1918yes—
1556C22×C4C24×C1918yes—
1557C22×C4C24×C1918yes—
1558C22×C4C24×C1918yes—
1559C22×C4C24×C1914yes—
1560C22×C4C24×C1911yescharacteristic
1561C4⋊C4C24×C1912yes—
1562C4⋊C4C24×C1914yes—
1563C4⋊C4C24×C1912yes—
1564C4⋊C4C24×C1912yes—
1565C4⋊C4C24×C1912yes—
1566C4⋊C4C24×C1912yes—
1567C4⋊C4C24×C1912yes—
1568C4⋊C4C24×C1914yes—
1569C4⋊C4C24×C1918yes—
1570C4⋊C4C24×C1914yes—
1571C4⋊C4C24×C1912yes—
1572C4⋊C4C24×C1914yes—
1573C4⋊C4C24×C1914yes—
1574C4⋊C4C24×C1914yes—
1575C4⋊C4C24×C1912yes—
1576C4⋊C4C24×C1912yes—
1577C4⋊C4C24×C1912yes—
1578C4⋊C4C24×C1914yes—
1579C4⋊C4C24×C1914yes—
1580C4⋊C4C24×C1912yes—
1581C4⋊C4C24×C1914yes—
1582C4⋊C4C24×C1918yes—
1583C4⋊C4C24×C1918yes—
1584C4⋊C4C24×C1918yes—
1585C4⋊C4C24×C1914yes—
1586C4⋊C4C24×C1914yes—
1587C4⋊C4C24×C1912yes—
1588C4⋊C4C24×C1914yes—
1589C4⋊C4C24×C1918yes—
1590C4⋊C4C24×C1918yes—
1591C4⋊C4C24×C1914yes—
1592C4⋊C4C24×C1914yes—
1593C4⋊C4C24×C1914yes—
1594C4⋊C4C24×C1914yes—
1595C4⋊C4C24×C1912yes—
1596C4⋊C4C24×C1912yes—
1597C22⋊C4C24×C1914yes—
1598C22⋊C4C24×C1914yes—
1599C22⋊C4C24×C1914yes—
1600C22⋊C4C24×C1914yes—
1601C22⋊C4C24×C1914yes—
1602C22⋊C4C24×C1914yes—
1603C22⋊C4C24×C1914yes—
1604C22⋊C4C24×C1914yes—
1605C22⋊C4C24×C1914yes—
1606C22⋊C4C24×C1914yes—
1607C22⋊C4C24×C1918yes—
1608C22⋊C4C24×C1918yes—
1609C22⋊C4C24×C1918yes—
1610C22⋊C4C24×C1914yes—
1611C22⋊C4C24×C1914yes—
1612C22⋊C4C24×C1914yes—
1613C22⋊C4C24×C1914yes—
1614C22⋊C4C24×C1914yes—
1615C22⋊C4C24×C1914yes—
1616C22⋊C4C24×C1914yes—
1617C22⋊C4C24×C1914yes—
1618C22⋊C4C24×C1918yes—
1619C22⋊C4C24×C1918yes—
1620C22⋊C4C24×C1914yes—
1621C22⋊C4C24×C1918yes—
1622C22⋊C4C24×C1918yes—
1623C22⋊C4C24×C1914yes—
1624C22⋊C4C24×C1914yes—
1625C22⋊C4C24×C1914yes—
1626C22⋊C4C24×C1918yes—
1627C22⋊C4C24×C1914yes—
1628C22⋊C4C24×C1914yes—
1629C22⋊C4C24×C1914yes—
1630C22⋊C4C24×C1914yes—
1631C22⋊C4C24×C1918yes—
1632C22⋊C4C24×C1914yes—
1633C22⋊C4C24×C1918yes—
1634C42C24×C1911yescharacteristic
1635C42C24×C1911yescharacteristic
1636C42C24×C1911yescharacteristic
1637C42C24×C1911yescharacteristic
1638C42C24×C1911yescharacteristic
1639C42C24×C1911yescharacteristic
1640C42C24×C1911yescharacteristic
1641C42C24×C1911yescharacteristic
1642C42C24×C1911yescharacteristic
1643C42C24×C1911yescharacteristic
1644C42C24×C1911yescharacteristic
1645C42C24×C1911yescharacteristic
1646C42C24×C1911yescharacteristic
1647C42C24×C1911yescharacteristic
1648C42C24×C1911yescharacteristic
1649C42C24×C1911yescharacteristic
1650C42C24×C1914yes—
1651C42C24×C1914yes—
1652C42C24×C1914yes—
1653C42C24×C1914yes—
1654C42C24×C1914yes—
1655C42C24×C1918yes—
1656C42C24×C1918yes—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—28no—
1661C23—41no—
1662C23—44no—
1663C23—42no—
1664C23—44no—
1665C23—42no—
1666C23—48no—
1667C23—48no—
1668C23—48no—
1669C23C25×C1914yes—
1670C23C25×C1914yes—
1671C23C25×C1914yes—
1672C23C25×C1911yescharacteristic
1673C23C25×C1914yes—
1674C23C25×C1911yescharacteristic
1675C23C25×C1911yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—24no—
1681Q8—24no—
1682Q8—48no—
1683Q8—44no—
1684Q8—42no—
1685D4—28no—
1686D4—28no—
1687D4—28no—
1688D4—28no—
1689D4—28no—
1690D4—24no—
1691D4—24no—
1692D4—24no—
1693D4—24no—
1694D4—24no—
1695D4—24no—
1696D4—24no—
1697D4—24no—
1698D4—48no—
1699D4—48no—
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—48no—
1704D4—44no—
1705D4—42no—
1706D4—44no—
1707D4—42no—
1708D4—44no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—42no—
1713D4—44no—
1714D4—48no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—28no—
1724C2×C4—28no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—28no—
1729C2×C4—22no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—41no—
1734C2×C4—44no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—42no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—48no—
1743C2×C4—42no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—44no—
1748C2×C4—44no—
1749C2×C4—48no—
1750C2×C4C19×H(5,𝔽2)14yes—
1751C2×C4C25×C1911yescharacteristic
1752C2×C4C25×C1911yescharacteristic
1753C2×C4C25×C1911yescharacteristic
1754C2×C4C25×C1911yescharacteristic
1755C2×C4C25×C1914yes—
1756C2×C4C25×C1914yes—
1757C2×C4C25×C1911yescharacteristic
1758C2×C4C25×C1911yescharacteristic
1759C2×C4C25×C1911yescharacteristic
1760C2×C4C25×C1914yes—
1761C2×C4C25×C1911yescharacteristic
1762C2×C4C25×C1911yescharacteristic
1763C2×C4C25×C1914yes—
1764C2×C4C25×C1914yes—
1765C2×C4C25×C1914yes—
1766C2×C4C25×C1914yes—
1767C2×C4C25×C1914yes—
1768C2×C4C25×C1911yescharacteristic
1769C2×C4C25×C1911yescharacteristic
1770C2×C4C25×C1911yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—21no—
1781C22—24no—
1782C22—24no—
1783C22—21no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—24no—
1788C22—24no—
1789C22—24no—
1790C22—44no—
1791C22—88no—
1792C22—84no—
1793C22—168no—
1794C22C2×C19×H(5,𝔽2)12yes—
1795C22C19×#58512yes—
1796C22C26×C1911yescharacteristic
1797C4—21no—
1798C4—21no—
1799C4—24no—
1800C4—24no—
1801C4—24no—
1802C4—24no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—24no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—24no—
1812C4—24no—
1813C4—24no—
1814C4C2×C19×H(5,𝔽2)12yes—
1815C4C2×C19×H(5,𝔽2)12yes—
1816C4C19×#58512yes—
1817C2—22no—
1818C2—22no—
1819C2—41no—
1820C2—44no—
1821C2—44no—
1822C2—44no—
1823C2—44no—
1824C2C22×C19×H(5,𝔽2)11yescharacteristic
1825C2C2×C19×#58511yescharacteristic
1826C2C2×C19×#58511yescharacteristic
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×#3562C2semidirect
2. C19×#3560C2semidirect
3. C19×#3552C2semidirect
4. C19×#3551C2semidirect
5. C19×#3547C2semidirect
6. C19×#3546C2semidirect
7. C19×#3543C2semidirect
8. C19×#3534C2semidirect
9. C19×#3520C2semidirect
10. C19×#3519C2semidirect
11. C19×#3519C2semidirect
12. C19×#3517C2semidirect
13. C19×#3514C2semidirect
14. C19×#3514C2semidirect
15. C19×#3512C2semidirect
16. C19×#3507C2semidirect
17. C19×#3506C2semidirect
18. C19×#3505C2semidirect
19. C19×#3500C2semidirect
20. C19×#3497C2semidirect
21. C19×#3496C2semidirect
22. C19×#3494C2semidirect
23. C19×#3489C2semidirect
24. C19×#3488C2semidirect
25. C19×#3444C2semidirect
26. C2×C19×#532C2semidirect
27. C2×C19×#529C2semidirect
28. C2×C19×2−1+4C22semidirect
29. C2×C19×H(5,𝔽2)C22semidirect
30. C22×#41×C19C22semidirect
31. C19×#563C22semidirect
32. C19×#562C22semidirect
33. C19×#560C22semidirect
34. C19×#560C22semidirect
35. C19×#559C22semidirect
36. C19×#559C22semidirect
37. C19×#557C22semidirect
38. C19×#556C22semidirect
39. C19×#556C22semidirect
40. C19×#556C22semidirect
41. C19×#555C22semidirect
42. C19×#555C22semidirect
43. C19×#555C22semidirect
44. C19×#554C22semidirect
45. C19×#554C22semidirect
46. C19×#553C22semidirect
47. C19×#553C22semidirect
48. C19×#553C22semidirect
49. C19×#553C22semidirect
50. C19×#553C22semidirect
51. C19×#553C22semidirect
52. C19×#553C22semidirect
53. C19×#553C22semidirect
54. C19×#553C22semidirect
55. C19×#552C22semidirect
56. C19×#552C22semidirect
57. C19×#552C22semidirect
58. C19×#551C22semidirect
59. C19×#551C22semidirect
60. C19×#551C22semidirect
61. C19×#551C22semidirect
62. C19×#550C22semidirect
63. C19×#550C22semidirect
64. C19×#550C22semidirect
65. C19×#550C22semidirect
66. C19×#550C22semidirect
67. D4×Q8×C19C22semidirect
68. D4×Q8×C19C22semidirect
69. D4×Q8×C19C22semidirect
70. C19×#548C22semidirect
71. C19×#548C22semidirect
72. C19×#548C22semidirect
73. C19×#548C22semidirect
74. C19×#548C22semidirect
75. C19×#548C22semidirect
76. C19×#547C22semidirect
77. C19×#547C22semidirect
78. C19×#547C22semidirect
79. C19×#547C22semidirect
80. C19×#547C22semidirect
81. C19×#546C22semidirect
82. C19×#546C22semidirect
83. C19×#546C22semidirect
84. C19×#546C22semidirect
85. C19×#546C22semidirect
86. C19×#546C22semidirect
87. C19×#546C22semidirect
88. C19×#546C22semidirect
89. C19×#546C22semidirect
90. C19×#546C22semidirect
91. C19×#546C22semidirect
92. C19×#546C22semidirect
93. C19×#546C22semidirect
94. D42×C19C22semidirect
95. D42×C19C22semidirect
96. D42×C19C22semidirect
97. D42×C19C22semidirect
98. D42×C19C22semidirect
99. C19×#544C22semidirect
100. C19×#542C22semidirect
101. C19×#542C22semidirect
102. C19×#542C22semidirect
103. C19×#541C22semidirect
104. C19×#540C22semidirect
105. C19×#540C22semidirect
106. C19×#540C22semidirect
107. C19×#540C22semidirect
108. C19×#540C22semidirect
109. C19×#539C22semidirect
110. C19×#539C22semidirect
111. C19×#539C22semidirect
112. C19×#538C22semidirect
113. C19×#538C22semidirect
114. C19×#538C22semidirect
115. C19×#538C22semidirect
116. C19×#538C22semidirect
117. C19×#538C22semidirect
118. C19×#537C22semidirect
119. C19×#537C22semidirect
120. C19×#537C22semidirect
121. C19×#537C22semidirect
122. C19×#537C22semidirect
123. C19×#536C22semidirect
124. C19×#536C22semidirect
125. C19×#536C22semidirect
126. C19×#535C22semidirect
127. C19×#535C22semidirect
128. C19×#535C22semidirect
129. C19×#535C22semidirect
130. C19×#534C22semidirect
131. C19×#534C22semidirect
132. C19×#533C22semidirect
133. C19×#533C22semidirect
134. C19×#533C22semidirect
136. C19×#532C22semidirect
137. C19×#532C22semidirect
138. C19×#532C22semidirect
139. C19×#532C22semidirect
140. C19×#532C22semidirect
141. C19×#532C22semidirect
142. C19×#532C22semidirect
143. C19×#532C22semidirect
144. C19×#532C22semidirect
145. C19×#532C22semidirect
146. C19×#532C22semidirect
147. C19×#532C22semidirect
148. C19×#532C22semidirect
149. C19×#532C22semidirect
150. C2×C19×C4⋊Q8C22semidirect
151. C2×C19×#127C22semidirect
152. C19×#529C22semidirect
153. C19×#529C22semidirect
154. C19×#529C22semidirect
155. C19×#529C22semidirect
156. C19×#529C22semidirect
157. C19×#529C22semidirect
158. C19×#529C22semidirect
159. C19×#529C22semidirect
160. C19×#529C22semidirect
161. C19×#529C22semidirect
162. C19×#529C22semidirect
163. C19×#529C22semidirect
164. C19×#529C22semidirect
165. C19×#529C22semidirect
166. C19×#529C22semidirect
167. C19×#529C22semidirect
168. C19×#529C22semidirect
169. C2×C19×#126C22semidirect
170. C2×C19×#125C22semidirect
171. C2×C19×#124C22semidirect
172. C2×C19×#124C22semidirect
173. C2×C19×#124C22semidirect
174. C19×#525C22semidirect
175. C19×#525C22semidirect
176. C19×#525C22semidirect
177. C19×#525C22semidirect
178. C19×#525C22semidirect
179. C19×#525C22semidirect
180. C2×C19×#123C22semidirect
181. C2×C19×C22⋊Q8C22semidirect
182. C2×C19×C22⋊Q8C22semidirect
184. C2×C19×#121C22semidirect
185. C2×C19×#121C22semidirect
186. C2×C19×#121C22semidirect
187. C2×C19×#121C22semidirect
188. C19×#520C22semidirect
189. C19×#520C22semidirect
190. C19×#520C22semidirect
191. C19×#518C22semidirect
192. C19×#518C22semidirect
193. C4×#41×C19C22semidirect
194. C4×#41×C19C22semidirect
195. C4×#41×C19C22semidirect
196. C2×C4×Q8×C19C22semidirect
197. C2×C4×D4×C19C22semidirect
198. C2×C4×D4×C19C22semidirect
199. C2×C4×D4×C19C22semidirect
200. C2×C4×D4×C19C22semidirect
201. C2×C19×#117C22semidirect
202. C22×C42×C19C22semidirect
743. #62830C19direct (N × H)
858. #3562C2×C19semidirect
859. #3560C2×C19semidirect
860. #3552C2×C19semidirect
861. #3551C2×C19semidirect
862. #3547C2×C19semidirect
863. #3546C2×C19semidirect
864. #3543C2×C19semidirect
865. #3534C2×C19semidirect
866. #3520C2×C19semidirect
867. #3519C2×C19semidirect
868. #3519C2×C19semidirect
869. #3517C2×C19semidirect
870. #3514C2×C19semidirect
871. #3514C2×C19semidirect
872. #3512C2×C19semidirect
873. #3507C2×C19semidirect
874. #3506C2×C19semidirect
875. #3505C2×C19semidirect
876. #3500C2×C19semidirect
877. #3497C2×C19semidirect
878. #3496C2×C19semidirect
879. #3494C2×C19semidirect
880. #3489C2×C19semidirect
881. #3488C2×C19semidirect
882. #3444C2×C19semidirect
883. C2×#532C2×C19semidirect
884. C2×#529C2×C19semidirect
931. C2×2−1+4C22×C19semidirect
932. C2×H(5,𝔽2)C22×C19semidirect
933. C22×#41C22×C19semidirect
934. #563C22×C19semidirect
935. #562C22×C19semidirect
936. #560C22×C19semidirect
937. #560C22×C19semidirect
938. #559C22×C19semidirect
939. #559C22×C19semidirect
940. #557C22×C19semidirect
941. #556C22×C19semidirect
942. #556C22×C19semidirect
943. #556C22×C19semidirect
944. #555C22×C19semidirect
945. #555C22×C19semidirect
946. #555C22×C19semidirect
947. #554C22×C19semidirect
948. #554C22×C19semidirect
949. #553C22×C19semidirect
950. #553C22×C19semidirect
951. #553C22×C19semidirect
952. #553C22×C19semidirect
953. #553C22×C19semidirect
954. #553C22×C19semidirect
955. #553C22×C19semidirect
956. #553C22×C19semidirect
957. #553C22×C19semidirect
958. #552C22×C19semidirect
959. #552C22×C19semidirect
960. #552C22×C19semidirect
961. #551C22×C19semidirect
962. #551C22×C19semidirect
963. #551C22×C19semidirect
964. #551C22×C19semidirect
965. #550C22×C19semidirect
966. #550C22×C19semidirect
967. #550C22×C19semidirect
968. #550C22×C19semidirect
969. #550C22×C19semidirect
970. D4×Q8C22×C19semidirect
971. D4×Q8C22×C19semidirect
972. D4×Q8C22×C19semidirect
973. #548C22×C19semidirect
974. #548C22×C19semidirect
975. #548C22×C19semidirect
976. #548C22×C19semidirect
977. #548C22×C19semidirect
978. #548C22×C19semidirect
979. #547C22×C19semidirect
980. #547C22×C19semidirect
981. #547C22×C19semidirect
982. #547C22×C19semidirect
983. #547C22×C19semidirect
984. #546C22×C19semidirect
985. #546C22×C19semidirect
986. #546C22×C19semidirect
987. #546C22×C19semidirect
988. #546C22×C19semidirect
989. #546C22×C19semidirect
990. #546C22×C19semidirect
991. #546C22×C19semidirect
992. #546C22×C19semidirect
993. #546C22×C19semidirect
994. #546C22×C19semidirect
995. #546C22×C19semidirect
996. #546C22×C19semidirect
997. D42C22×C19semidirect
998. D42C22×C19semidirect
999. D42C22×C19semidirect
1000. D42C22×C19semidirect
1001. D42C22×C19semidirect
1002. #544C22×C19semidirect
1003. #542C22×C19semidirect
1004. #542C22×C19semidirect
1005. #542C22×C19semidirect
1006. #541C22×C19semidirect
1007. #540C22×C19semidirect
1008. #540C22×C19semidirect
1009. #540C22×C19semidirect
1010. #540C22×C19semidirect
1011. #540C22×C19semidirect
1012. #539C22×C19semidirect
1013. #539C22×C19semidirect
1014. #539C22×C19semidirect
1015. #538C22×C19semidirect
1016. #538C22×C19semidirect
1017. #538C22×C19semidirect
1018. #538C22×C19semidirect
1019. #538C22×C19semidirect
1020. #538C22×C19semidirect
1021. #537C22×C19semidirect
1022. #537C22×C19semidirect
1023. #537C22×C19semidirect
1024. #537C22×C19semidirect
1025. #537C22×C19semidirect
1026. #536C22×C19semidirect
1027. #536C22×C19semidirect
1028. #536C22×C19semidirect
1029. #535C22×C19semidirect
1030. #535C22×C19semidirect
1031. #535C22×C19semidirect
1032. #535C22×C19semidirect
1033. #534C22×C19semidirect
1034. #534C22×C19semidirect
1035. #533C22×C19semidirect
1036. #533C22×C19semidirect
1037. #533C22×C19semidirect
1039. #532C22×C19semidirect
1040. #532C22×C19semidirect
1041. #532C22×C19semidirect
1042. #532C22×C19semidirect
1043. #532C22×C19semidirect
1044. #532C22×C19semidirect
1045. #532C22×C19semidirect
1046. #532C22×C19semidirect
1047. #532C22×C19semidirect
1048. #532C22×C19semidirect
1049. #532C22×C19semidirect
1050. #532C22×C19semidirect
1051. #532C22×C19semidirect
1052. #532C22×C19semidirect
1053. C2×C4⋊Q8C22×C19semidirect
1054. C2×#127C22×C19semidirect
1055. #529C22×C19semidirect
1056. #529C22×C19semidirect
1057. #529C22×C19semidirect
1058. #529C22×C19semidirect
1059. #529C22×C19semidirect
1060. #529C22×C19semidirect
1061. #529C22×C19semidirect
1062. #529C22×C19semidirect
1063. #529C22×C19semidirect
1064. #529C22×C19semidirect
1065. #529C22×C19semidirect
1066. #529C22×C19semidirect
1067. #529C22×C19semidirect
1068. #529C22×C19semidirect
1069. #529C22×C19semidirect
1070. #529C22×C19semidirect
1071. #529C22×C19semidirect
1072. C2×#126C22×C19semidirect
1073. C2×#125C22×C19semidirect
1074. C2×#124C22×C19semidirect
1075. C2×#124C22×C19semidirect
1076. C2×#124C22×C19semidirect
1077. #525C22×C19semidirect
1078. #525C22×C19semidirect
1079. #525C22×C19semidirect
1080. #525C22×C19semidirect
1081. #525C22×C19semidirect
1082. #525C22×C19semidirect
1083. C2×#123C22×C19semidirect
1084. C2×C22⋊Q8C22×C19semidirect
1085. C2×C22⋊Q8C22×C19semidirect
1087. C2×#121C22×C19semidirect
1088. C2×#121C22×C19semidirect
1089. C2×#121C22×C19semidirect
1090. C2×#121C22×C19semidirect
1091. #520C22×C19semidirect
1092. #520C22×C19semidirect
1093. #520C22×C19semidirect
1094. #518C22×C19semidirect
1095. #518C22×C19semidirect
1096. C4×#41C22×C19semidirect
1097. C4×#41C22×C19semidirect
1098. C4×#41C22×C19semidirect
1099. C2×C4×Q8C22×C19semidirect
1100. C2×C4×D4C22×C19semidirect
1101. C2×C4×D4C22×C19semidirect
1102. C2×C4×D4C22×C19semidirect
1103. C2×C4×D4C22×C19semidirect
1104. C2×#117C22×C19semidirect
1105. C22×C42C22×C19semidirect
1446. C19#62830direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35622
C19×#35602
C19×#35522
C19×#35512
C19×#35472
C19×#35462
C19×#35432
C19×#35342
C19×#35202
C19×#35192
C19×#35172
C19×#35142
C19×#35122
C19×#35072
C19×#35062
C19×#35052
C19×#35002
C19×#34972
C19×#34962
C19×#34942
C19×#34892
C19×#34882
C19×#34442
C2×C19×#5322
C2×C19×#5292
#6283019