Finite Group Databasebeta

← C19×#62877 #18068836

Subgroups — C19×#62877 #18068836

Order 4864.

6394 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3565C214yesmaximal, complemented
2C19×#3565C214yesmaximal, complemented
3C19×#3563C214yesmaximal, complemented
4C19×#3559C214yesmaximal, complemented
5C19×#3555C214yesmaximal, complemented
6C19×#3553C214yesmaximal, complemented
7C19×#3552C214yesmaximal, complemented
8C19×#3552C214yesmaximal, complemented
9C19×#3547C214yesmaximal, complemented
10C19×#3544C214yesmaximal, complemented
11C19×#3541C218yesmaximal, complemented
12C19×#3512C212yesmaximal, complemented
13C19×#3511C212yesmaximal, complemented
14C19×#3504C212yesmaximal, complemented
15C19×#3503C212yesmaximal, complemented
16C19×#3493C211yesmaximal, characteristic, complemented
17C19×#3493C211yesmaximal, characteristic, complemented
18C19×#3492C212yesmaximal, complemented
19C2×C19×#544C211yesmaximal, characteristic, complemented
20C19×#3455C212yesmaximal, complemented
21C19×#564C2214yescomplemented
22C19×#563C2218yes—
23C19×#563C2218yes—
24C19×#563C2214yescomplemented
25C19×#563C2218yescomplemented
26C19×#563C2218yescomplemented
27C19×#563C2214yescomplemented
28C19×#562C2218yes—
29C19×#562C2218yes—
30C19×#562C2214yescomplemented
31Q82×C19C2214yescomplemented
32C19×#557C2214yescomplemented
33C19×#557C2214yescomplemented
34C19×#557C2214yescomplemented
35C19×#557C2214yescomplemented
36C19×#556C2214yes—
37C19×#556C2214yes—
38C19×#556C2218yes—
39C19×#556C2214yescomplemented
40C19×#556C2214yescomplemented
41C19×#555C2214yes—
42C19×#555C2214yes—
43C19×#555C2214yescomplemented
44C19×#554C2214yes—
45C19×#554C2214yes—
46C19×#554C2218yes—
47C19×#554C2218yes—
48C19×#554C2218yes—
49C19×#554C2214yescomplemented
50C19×#554C2214yescomplemented
51C19×#554C2214yescomplemented
52C19×#554C2214yescomplemented
53C19×#553C2214yes—
54C19×#553C2214yes—
55C19×#553C2214yes—
56C19×#553C2214yes—
57C19×#553C2218yes—
58C19×#553C2218yes—
59C19×#553C2218yes—
60C19×#553C2214yescomplemented
61C19×#553C2214yescomplemented
62C19×#552C2214yes—
63C19×#552C2214yes—
64C19×#552C2214yes—
65C19×#552C2214yes—
66C19×#552C2218yes—
67C19×#552C2214yescomplemented
68C19×#552C2214yescomplemented
69C19×#552C2218yescomplemented
70C19×#552C2218yescomplemented
71D4×Q8×C19C2218yes—
72D4×Q8×C19C2214yescomplemented
73D4×Q8×C19C2214yescomplemented
74C19×#548C2218yes—
75C19×#548C2218yes—
76C19×#547C2214yes—
77C19×#547C2214yes—
78C19×#547C2218yes—
79C19×#547C2214yescomplemented
80C19×#547C2214yescomplemented
81C19×#544C2214yes—
82C19×#544C2214yes—
83C19×#544C2214yes—
84C19×#544C2214yes—
85C19×#544C2212yes—
86C19×#544C2211yescharacteristic
87C19×#544C2211yescharacteristic
88C19×#544C2214yescomplemented
89C19×#544C2214yescomplemented
90C19×#544C2214yescomplemented
91C19×#544C2214yescomplemented
92C19×#544C2218yescomplemented
93C19×#542C2212yes—
94C19×#542C2212yes—
95C19×#542C2212yes—
96C19×#542C2212yes—
97C19×#542C2218yes—
98C19×#542C2218yes—
99C19×#542C2218yes—
100C19×#542C2214yescomplemented
101C19×#542C2214yescomplemented
102C19×#542C2218yescomplemented
103C19×#541C2212yes—
104C19×#541C2212yes—
105C19×#541C2218yes—
106C19×#541C2214yescomplemented
107C19×#541C2218yescomplemented
108C19×#541C2218yescomplemented
109C19×#541C2218yescomplemented
110C19×#540C2212yes—
111C19×#540C2212yes—
112C19×#540C2214yescomplemented
113C19×#539C2214yes—
114C19×#539C2214yes—
115C19×#539C2218yes—
116C19×#539C2218yes—
117C19×#539C2218yes—
118C19×#539C2218yescomplemented
119C19×#539C2218yescomplemented
120C19×#538C2214yes—
121C19×#538C2214yes—
122C19×#538C2214yes—
123C19×#538C2214yes—
124C19×#537C2212yes—
125C19×#537C2211yescharacteristic
126C19×#537C2211yescharacteristic
127C19×#537C2218yes—
128C19×#536C2218yes—
129C19×#536C2218yescomplemented
130C19×#533C2212yes—
131C19×#533C2214yescomplemented
132C19×#533C2214yescomplemented
133C19×#533C2214yescomplemented
134C19×#532C2212yes—
135C19×#532C2214yescomplemented
136C2×C19×C4⋊Q8C2212yes—
137C2×C19×C4⋊Q8C2212yes—
138C2×C19×C4⋊Q8C2214yescomplemented
139C19×#529C2214yes—
140C19×#529C2214yes—
141C19×#529C2214yes—
142C19×#529C2214yes—
143C19×#529C2214yes—
144C19×#529C2214yes—
145C19×#529C2214yescomplemented
146C19×#529C2214yescomplemented
147C2×C19×#125C2212yes—
148C2×C19×#125C2212yes—
149C2×C19×#125C2214yescomplemented
150C19×#525C2212yes—
151C19×#525C2212yes—
152C19×#525C2218yes—
153C2×C19×C22⋊Q8C2214yes—
154C19×#520C2212yes—
155C19×#520C2212yes—
156C19×#520C2212yes—
157C19×#520C2212yes—
158C4×#41×C19C2212yes—
159C4×#41×C19C2212yes—
160C2×C19×#117C2211yescharacteristic
161C2×C19×#117C2211yescharacteristic
162C22×C4⋊C4×C19C2211yescharacteristic
163C2×#41×C19C2312yes—
164C2×#41×C19C2312yes—
165C2×#41×C19C2318yes—
166C2×#41×C19C2318yes—
167C22×Q8×C19C2314yes—
168C22×Q8×C19C2318yes—
169C23×C4×C19C2311yescharacteristic
170C23×C4×C19C2312yes—
171C19×C4⋊Q8C2314yes—
172C19×C4⋊Q8C2314yes—
173C19×C4⋊Q8C2318yes—
174C19×C4⋊Q8C2314yes—
175C19×C4⋊Q8C2314yes—
176C19×C4⋊Q8C2314yes—
177C19×C4⋊Q8C2314yes—
178C19×C4⋊Q8C2312yes—
179C19×C4⋊Q8C2318yes—
180C19×C4⋊Q8C2318yes—
181C19×C4⋊Q8C2314yes—
182C19×C4⋊Q8C2314yes—
183C19×C4⋊Q8C2312yes—
184C19×C4⋊Q8C2312yes—
185C19×C4⋊Q8C2314yes—
186C19×C4⋊Q8C2314yes—
187C19×C4⋊Q8C2318yes—
188C19×C4⋊Q8C2318yes—
189C19×C4⋊Q8C2318yes—
190C19×C4⋊Q8C2318yes—
191C19×#127C2312yes—
192C19×#126C2314yes—
193C19×#126C2314yes—
194C19×#126C2314yes—
195C19×#126C2314yes—
196C19×#126C2314yes—
197C19×#126C2314yes—
198C19×#126C2314yes—
199C19×#126C2314yes—
200C19×#126C2318yes—
201C19×#126C2318yes—
202C19×#126C2318yes—
203C19×#126C2318yes—
204C19×#126C2318yes—
205C19×#126C2318yes—
206C19×#126C2318yes—
207C19×#126C2318yes—
208C19×#126C2318yes—
209C19×#126C2318yes—
210C19×#126C2318yes—
211C19×#126C2318yes—
212C19×#125C2314yes—
213C19×#125C2314yes—
214C19×#125C2318yes—
215C19×#125C2314yes—
216C19×#125C2314yes—
217C19×#125C2314yes—
218C19×#125C2314yes—
219C19×#125C2312yes—
220C19×#125C2318yes—
221C19×#125C2318yes—
222C19×#125C2314yes—
223C19×#125C2314yes—
224C19×#125C2314yes—
225C19×#125C2314yes—
226C19×#125C2314yes—
227C19×#125C2314yes—
228C19×#125C2314yes—
229C19×#125C2314yes—
230C19×#125C2312yes—
231C19×#125C2318yes—
232C19×#125C2314yes—
233C19×#125C2314yes—
234C19×#125C2318yes—
235C19×#125C2318yes—
236C19×#125C2318yes—
237C19×#125C2318yes—
238C19×#125C2318yes—
239C19×#125C2318yes—
240C19×#125C2318yes—
241C19×#125C2318yes—
242C19×#124C2314yes—
243C19×#124C2314yes—
244C19×#124C2314yes—
245C19×#124C2314yes—
246C19×#124C2314yes—
247C19×#124C2314yes—
248C19×#124C2312yes—
249C19×#124C2312yes—
250C19×#124C2318yes—
251C19×#124C2318yes—
252C19×#124C2318yes—
253C19×#124C2318yes—
254C19×#124C2318yes—
255C19×#123C2314yes—
256C19×#123C2314yes—
257C19×#123C2318yes—
258C19×#123C2318yes—
259C19×#123C2314yes—
260C19×#123C2314yes—
261C19×#123C2314yes—
262C19×#123C2314yes—
263C19×#123C2314yes—
264C19×#123C2314yes—
265C19×#123C2314yes—
266C19×#123C2314yes—
267C19×#123C2318yes—
268C19×#123C2318yes—
269C19×#123C2318yes—
270C19×#123C2318yes—
271C19×#123C2318yes—
272C19×#123C2318yes—
273C19×#123C2318yes—
274C19×#123C2318yes—
275C19×#123C2318yes—
276C19×#123C2318yes—
277C19×C22⋊Q8C2318yes—
278C19×C22⋊Q8C2318yes—
279C19×C22⋊Q8C2318yes—
280C19×C22⋊Q8C2318yes—
281C19×C22⋊Q8C2318yes—
282C19×C22⋊Q8C2318yes—
283C19×C22⋊Q8C2312yes—
284C19×C22⋊Q8C2312yes—
285C19×C22⋊Q8C2312yes—
286C19×C22⋊Q8C2312yes—
287C19×C22⋊Q8C2314yes—
288C19×C22⋊Q8C2314yes—
289C19×C22⋊Q8C2314yes—
290C19×C22⋊Q8C2314yes—
291C19×C22⋊Q8C2314yes—
292C19×C22⋊Q8C2314yes—
293C19×C22⋊Q8C2314yes—
294C19×C22⋊Q8C2314yes—
295C19×C22⋊Q8C2314yes—
296C19×C22⋊Q8C2314yes—
297C19×C22⋊Q8C2318yes—
298C19×C22⋊Q8C2314yes—
299C19×C22⋊Q8C2314yes—
300C19×C22⋊Q8C2318yes—
301C19×C22⋊Q8C2318yes—
302C19×C22⋊Q8C2318yes—
303C19×C22⋊Q8C2318yes—
304C19×C22⋊Q8C2318yes—
305C19×C22⋊Q8C2318yes—
306C19×C22⋊Q8C2318yes—
307C19×C22⋊Q8C2318yes—
308C19×C22⋊Q8C2318yes—
309C19×C22⋊Q8C2318yes—
310C19×C22⋊Q8C2318yes—
311C19×C22⋊Q8C2318yes—
312C19×C22⋊Q8C2318yes—
313C19×C22⋊Q8C2318yes—
314C19×C22⋊Q8C2318yes—
315C19×C22⋊Q8C2318yes—
316C19×#121C2318yes—
317C19×#121C2318yes—
318C19×#121C2312yes—
319C19×#121C2312yes—
320C19×#121C2312yes—
321C19×#121C2312yes—
322C19×#121C2314yes—
323C19×#121C2314yes—
324C19×#121C2314yes—
325C19×#121C2314yes—
326C19×#121C2314yes—
327C19×#121C2314yes—
328C19×#121C2314yes—
329C19×#121C2314yes—
330C19×#121C2314yes—
331C19×#121C2314yes—
332C19×#121C2318yes—
333C19×#121C2314yes—
334C19×#121C2314yes—
335C19×#121C2318yes—
336C19×#121C2318yes—
337C19×#121C2318yes—
338C19×#121C2318yes—
339C19×#120C2314yes—
340C19×#120C2314yes—
341C4×Q8×C19C2312yes—
342C4×Q8×C19C2312yes—
343C4×Q8×C19C2312yes—
344C4×Q8×C19C2312yes—
345C4×Q8×C19C2314yes—
346C4×Q8×C19C2314yes—
347C4×Q8×C19C2314yes—
348C4×Q8×C19C2314yes—
349C4×Q8×C19C2314yes—
350C4×Q8×C19C2314yes—
351C4×Q8×C19C2314yes—
352C4×Q8×C19C2314yes—
353C4×Q8×C19C2318yes—
354C4×Q8×C19C2318yes—
355C4×Q8×C19C2318yes—
356C4×Q8×C19C2318yes—
357C4×Q8×C19C2318yes—
358C4×D4×C19C2314yes—
359C4×D4×C19C2314yes—
360C4×D4×C19C2314yes—
361C4×D4×C19C2314yes—
362C4×D4×C19C2312yes—
363C4×D4×C19C2312yes—
364C4×D4×C19C2312yes—
365C4×D4×C19C2312yes—
366C4×D4×C19C2318yes—
367C4×D4×C19C2318yes—
368C4×D4×C19C2318yes—
369C4×D4×C19C2318yes—
370C4×D4×C19C2314yes—
371C4×D4×C19C2314yes—
372C4×D4×C19C2314yes—
373C4×D4×C19C2314yes—
374C4×D4×C19C2314yes—
375C4×D4×C19C2314yes—
376C4×D4×C19C2314yes—
377C4×D4×C19C2314yes—
378C4×D4×C19C2318yes—
379C4×D4×C19C2318yes—
380C4×D4×C19C2314yes—
381C4×D4×C19C2314yes—
382C4×D4×C19C2314yes—
383C4×D4×C19C2314yes—
384C4×D4×C19C2318yes—
385C4×D4×C19C2318yes—
386C4×D4×C19C2318yes—
387C19×#117C2312yes—
388C19×#117C2312yes—
389C19×#117C2312yes—
390C19×#117C2312yes—
391C19×#117C2314yes—
392C19×#117C2314yes—
393C19×#117C2312yes—
394C19×#117C2312yes—
395C19×#117C2314yes—
396C19×#117C2314yes—
397C19×#117C2314yes—
398C19×#117C2314yes—
399C19×#117C2314yes—
400C19×#117C2314yes—
401C19×#117C2318yes—
402C19×#117C2318yes—
403C19×#117C2318yes—
404C19×#117C2318yes—
405C19×#117C2318yes—
406C19×#117C2318yes—
407C2×C4⋊C4×C19C2312yes—
408C2×C4⋊C4×C19C2312yes—
409C2×C4⋊C4×C19C2314yes—
410C2×C4⋊C4×C19C2314yes—
411C2×C4⋊C4×C19C2311yescharacteristic
412C2×C4⋊C4×C19C2311yescharacteristic
413C2×C4⋊C4×C19C2311yescharacteristic
414C2×C4⋊C4×C19C2311yescharacteristic
415C2×C4⋊C4×C19C2314yes—
416C2×C4⋊C4×C19C2314yes—
417C2×C4⋊C4×C19C2314yes—
418C2×C4⋊C4×C19C2314yes—
419C2×C4⋊C4×C19C2314yes—
420C2×C4⋊C4×C19C2314yes—
421C2×C4⋊C4×C19C2314yes—
422C2×C4⋊C4×C19C2318yes—
423C2×C4⋊C4×C19C2318yes—
424C2×C4⋊C4×C19C2318yes—
425C2×C22⋊C4×C19C2312yes—
426C2×C22⋊C4×C19C2312yes—
427C2×C42×C19C2312yes—
428C2×C42×C19C2312yes—
429C2×C42×C19C2314yes—
430C2×C42×C19C2314yes—
431C24×C19C2411yescharacteristic
432#41×C19—28no—
433#41×C19—28no—
434#41×C19—88no—
435#41×C19—88no—
436C2×Q8×C19—84no—
437C2×Q8×C19—88no—
438C2×Q8×C19C2412yes—
439C2×Q8×C19C2412yes—
440C2×Q8×C19C2414yes—
441C2×Q8×C19C2414yes—
442C2×Q8×C19C2418yes—
443C2×Q8×C19C2414yes—
444C2×Q8×C19C2418yes—
445C2×Q8×C19C2418yes—
446C2×Q8×C19C2414yes—
447C2×D4×C19C2414yes—
448C2×D4×C19C2414yes—
449C2×D4×C19C2412yes—
450C2×D4×C19C2412yes—
451C2×D4×C19C2414yes—
452C2×D4×C19C2414yes—
453C2×D4×C19C2414yes—
454C2×D4×C19C2414yes—
455C2×D4×C19C2414yes—
456C2×D4×C19C2414yes—
457C2×D4×C19C2418yes—
458C2×D4×C19C2414yes—
459C2×D4×C19C2414yes—
460C22×C4×C19—24no—
461C22×C4×C19—82no—
462C22×C4×C19C2411yescharacteristic
463C22×C4×C19C2414yes—
464C22×C4×C19C2414yes—
465C22×C4×C19C2412yes—
466C22×C4×C19C2412yes—
467C22×C4×C19C2412yes—
468C22×C4×C19C2412yes—
469C22×C4×C19C2412yes—
470C22×C4×C19C2412yes—
471C22×C4×C19C2414yes—
472C22×C4×C19C2414yes—
473C22×C4×C19C2414yes—
474C22×C4×C19C2414yes—
475C22×C4×C19C2414yes—
476C22×C4×C19C2418yes—
477C22×C4×C19C2418yes—
478C22×C4×C19C2418yes—
479C22×C4×C19C2418yes—
480C22×C4×C19C2418yes—
481C22×C4×C19C2411yescharacteristic
482C4⋊C4×C19C2414yes—
483C4⋊C4×C19C2414yes—
484C4⋊C4×C19C2412yes—
485C4⋊C4×C19C2414yes—
486C4⋊C4×C19C2414yes—
487C4⋊C4×C19C2414yes—
488C4⋊C4×C19C2412yes—
489C4⋊C4×C19C2414yes—
490C4⋊C4×C19C2412yes—
491C4⋊C4×C19C2414yes—
492C4⋊C4×C19C2418yes—
493C4⋊C4×C19C2418yes—
494C4⋊C4×C19C2414yes—
495C4⋊C4×C19C2418yes—
496C4⋊C4×C19C2414yes—
497C4⋊C4×C19C2418yes—
498C4⋊C4×C19C2414yes—
499C4⋊C4×C19C2411yescharacteristic
500C4⋊C4×C19C2411yescharacteristic
501C4⋊C4×C19C2412yes—
502C4⋊C4×C19C2412yes—
503C4⋊C4×C19C2411yescharacteristic
504C4⋊C4×C19C2411yescharacteristic
505C4⋊C4×C19C2418yes—
506C4⋊C4×C19C2418yes—
507C4⋊C4×C19C2418yes—
508C4⋊C4×C19C2418yes—
509C4⋊C4×C19C2418yes—
510C4⋊C4×C19C2418yes—
511C4⋊C4×C19C2418yes—
512C4⋊C4×C19C2418yes—
513C4⋊C4×C19C2418yes—
514C4⋊C4×C19C2418yes—
515C4⋊C4×C19C2412yes—
516C4⋊C4×C19C2414yes—
517C4⋊C4×C19C2414yes—
518C4⋊C4×C19C2414yes—
519C4⋊C4×C19C2418yes—
520C4⋊C4×C19C2414yes—
521C4⋊C4×C19C2414yes—
522C4⋊C4×C19C2414yes—
523C4⋊C4×C19C2414yes—
524C4⋊C4×C19C2414yes—
525C4⋊C4×C19C2414yes—
526C4⋊C4×C19C2414yes—
527C4⋊C4×C19C2418yes—
528C4⋊C4×C19C2414yes—
529C4⋊C4×C19C2414yes—
530C4⋊C4×C19C2414yes—
531C4⋊C4×C19C2414yes—
532C4⋊C4×C19C2414yes—
533C4⋊C4×C19C2414yes—
534C22⋊C4×C19C2412yes—
535C22⋊C4×C19C2412yes—
536C22⋊C4×C19C2412yes—
537C22⋊C4×C19C2418yes—
538C22⋊C4×C19C2412yes—
539C22⋊C4×C19C2414yes—
540C22⋊C4×C19C2414yes—
541C22⋊C4×C19C2418yes—
542C22⋊C4×C19C2418yes—
543C22⋊C4×C19C2418yes—
544C22⋊C4×C19C2414yes—
545C22⋊C4×C19C2414yes—
546C22⋊C4×C19C2414yes—
547C22⋊C4×C19C2414yes—
548C22⋊C4×C19C2414yes—
549C22⋊C4×C19C2414yes—
550C22⋊C4×C19C2414yes—
551C22⋊C4×C19C2414yes—
552C22⋊C4×C19C2418yes—
553C22⋊C4×C19C2418yes—
554C22⋊C4×C19C2418yes—
555C22⋊C4×C19C2418yes—
556C22⋊C4×C19C2414yes—
557C22⋊C4×C19C2414yes—
558C22⋊C4×C19C2414yes—
559C22⋊C4×C19C2414yes—
560C22⋊C4×C19C2418yes—
561C22⋊C4×C19C2414yes—
562C22⋊C4×C19C2414yes—
563C22⋊C4×C19C2414yes—
564C22⋊C4×C19C2414yes—
565C42×C19C2412yes—
566C42×C19C2412yes—
567C42×C19C2414yes—
568C42×C19C2414yes—
569C42×C19C2412yes—
570C42×C19C2412yes—
571C42×C19C2414yes—
572C42×C19C2414yes—
573C42×C19C2414yes—
574C42×C19C2414yes—
575C42×C19C2414yes—
576C42×C19C2414yes—
577C42×C19C2418yes—
578C42×C19C2418yes—
579C42×C19C2418yes—
580C42×C19C2418yes—
581#62877C1911yesmaximal, characteristic, direct product factor, Sylow
582C23×C19—22no—
583C23×C19—41no—
584C23×C19—41no—
585C23×C19C2512yes—
586C23×C19C2514yes—
587C23×C19C2514yes—
588C23×C19C2511yescharacteristic
589Q8×C19—24no—
590Q8×C19—24no—
591Q8×C19—48no—
592Q8×C19—44no—
593Q8×C19—44no—
594Q8×C19—48no—
595Q8×C19—48no—
596Q8×C19—44no—
597Q8×C19—44no—
598D4×C19—28no—
599D4×C19—28no—
600D4×C19—24no—
601D4×C19—24no—
602D4×C19—44no—
603D4×C19—44no—
604D4×C19—44no—
605D4×C19—44no—
606D4×C19—44no—
607D4×C19—48no—
608D4×C19—44no—
609D4×C19—44no—
610D4×C19—44no—
611C2×C4×C19—22no—
612C2×C4×C19—24no—
613C2×C4×C19—24no—
614C2×C4×C19—28no—
615C2×C4×C19—28no—
616C2×C4×C19—44no—
617C2×C4×C19—48no—
618C2×C4×C19—42no—
619C2×C4×C19—44no—
620C2×C4×C19—42no—
621C2×C4×C19—48no—
622C2×C4×C19—44no—
623C2×C4×C19—42no—
624C2×C4×C19—42no—
625C2×C4×C19—44no—
626C2×C4×C19—48no—
627C2×C4×C19—48no—
628C2×C4×C19—48no—
629C2×C4×C19—44no—
630C2×C4×C192−1+414yes—
631C2×C4×C19C2514yes—
632C2×C4×C19C2514yes—
633C2×C4×C19C2514yes—
634C2×C4×C19C2511yescharacteristic
635C2×C4×C19C2511yescharacteristic
636C2×C4×C19C2512yes—
637C2×C4×C19C2512yes—
638C2×C4×C19C2514yes—
639C2×C4×C19C2514yes—
640C2×C4×C19C2514yes—
641C2×C4×C19C2514yes—
642C2×C4×C19C2512yes—
643C2×C4×C19C2512yes—
644C2×C4×C19C2514yes—
645C2×C4×C19C2518yes—
646C2×C4×C19C2512yes—
647#3565C2×C1914yescomplemented
648#3565C2×C1914yescomplemented
649#3563C2×C1914yescomplemented
650#3559C2×C1914yescomplemented
651#3555C2×C1914yescomplemented
652#3553C2×C1914yescomplemented
653#3552C2×C1914yescomplemented
654#3552C2×C1914yescomplemented
655#3547C2×C1914yescomplemented
656#3544C2×C1914yescomplemented
657#3541C2×C1918yescomplemented
658#3512C2×C1912yescomplemented
659#3511C2×C1912yescomplemented
660#3504C2×C1912yescomplemented
661#3503C2×C1912yescomplemented
662#3493C2×C1911yescharacteristic, complemented
663#3493C2×C1911yescharacteristic, complemented
664#3492C2×C1912yescomplemented
665C2×#544C2×C1911yescharacteristic, complemented
666#3455C2×C1912yescomplemented
667C22×C19—21no—
668C22×C19—21no—
669C22×C19—22no—
670C22×C19—24no—
671C22×C19—24no—
672C22×C19—24no—
673C22×C19—22no—
674C22×C19—24no—
675C22×C19—24no—
676C22×C19—24no—
677C22×C19—22no—
678C22×C19—44no—
679C22×C19C2×2−1+412yes—
680C22×C19C2611yescharacteristic
681C4×C19—21no—
682C4×C19—21no—
683C4×C19—24no—
684C4×C19—24no—
685C4×C19—28no—
686C4×C19—24no—
687C4×C19—22no—
688C4×C19—24no—
689C4×C19—24no—
690C4×C19—22no—
691C4×C19—22no—
692C4×C19—24no—
693C4×C19—24no—
694C4×C19—22no—
695C4×C19—24no—
696C4×C19C2×2−1+414yes—
697#564C22×C1914yescomplemented
698#563C22×C1918yes—
699#563C22×C1918yes—
700#563C22×C1914yescomplemented
701#563C22×C1918yescomplemented
702#563C22×C1918yescomplemented
703#563C22×C1914yescomplemented
704#562C22×C1918yes—
705#562C22×C1918yes—
706#562C22×C1914yescomplemented
707Q82C22×C1914yescomplemented
708#557C22×C1914yescomplemented
709#557C22×C1914yescomplemented
710#557C22×C1914yescomplemented
711#557C22×C1914yescomplemented
712#556C22×C1914yes—
713#556C22×C1914yes—
714#556C22×C1918yes—
715#556C22×C1914yescomplemented
716#556C22×C1914yescomplemented
717#555C22×C1914yes—
718#555C22×C1914yes—
719#555C22×C1914yescomplemented
720#554C22×C1914yes—
721#554C22×C1914yes—
722#554C22×C1918yes—
723#554C22×C1918yes—
724#554C22×C1918yes—
725#554C22×C1914yescomplemented
726#554C22×C1914yescomplemented
727#554C22×C1914yescomplemented
728#554C22×C1914yescomplemented
729#553C22×C1914yes—
730#553C22×C1914yes—
731#553C22×C1914yes—
732#553C22×C1914yes—
733#553C22×C1918yes—
734#553C22×C1918yes—
735#553C22×C1918yes—
736#553C22×C1914yescomplemented
737#553C22×C1914yescomplemented
738#552C22×C1914yes—
739#552C22×C1914yes—
740#552C22×C1914yes—
741#552C22×C1914yes—
742#552C22×C1918yes—
743#552C22×C1914yescomplemented
744#552C22×C1914yescomplemented
745#552C22×C1918yescomplemented
746#552C22×C1918yescomplemented
747D4×Q8C22×C1918yes—
748D4×Q8C22×C1914yescomplemented
749D4×Q8C22×C1914yescomplemented
750#548C22×C1918yes—
751#548C22×C1918yes—
752#547C22×C1914yes—
753#547C22×C1914yes—
754#547C22×C1918yes—
755#547C22×C1914yescomplemented
756#547C22×C1914yescomplemented
757#544C22×C1914yes—
758#544C22×C1914yes—
759#544C22×C1914yes—
760#544C22×C1914yes—
761#544C22×C1912yes—
762#544C22×C1911yescharacteristic
763#544C22×C1911yescharacteristic
764#544C22×C1914yescomplemented
765#544C22×C1914yescomplemented
766#544C22×C1914yescomplemented
767#544C22×C1914yescomplemented
768#544C22×C1918yescomplemented
769#542C22×C1912yes—
770#542C22×C1912yes—
771#542C22×C1912yes—
772#542C22×C1912yes—
773#542C22×C1918yes—
774#542C22×C1918yes—
775#542C22×C1918yes—
776#542C22×C1914yescomplemented
777#542C22×C1914yescomplemented
778#542C22×C1918yescomplemented
779#541C22×C1912yes—
780#541C22×C1912yes—
781#541C22×C1918yes—
782#541C22×C1914yescomplemented
783#541C22×C1918yescomplemented
784#541C22×C1918yescomplemented
785#541C22×C1918yescomplemented
786#540C22×C1912yes—
787#540C22×C1912yes—
788#540C22×C1914yescomplemented
789#539C22×C1914yes—
790#539C22×C1914yes—
791#539C22×C1918yes—
792#539C22×C1918yes—
793#539C22×C1918yes—
794#539C22×C1918yescomplemented
795#539C22×C1918yescomplemented
796#538C22×C1914yes—
797#538C22×C1914yes—
798#538C22×C1914yes—
799#538C22×C1914yes—
800#537C22×C1912yes—
801#537C22×C1911yescharacteristic
802#537C22×C1911yescharacteristic
803#537C22×C1918yes—
804#536C22×C1918yes—
805#536C22×C1918yescomplemented
806#533C22×C1912yes—
807#533C22×C1914yescomplemented
808#533C22×C1914yescomplemented
809#533C22×C1914yescomplemented
810#532C22×C1912yes—
811#532C22×C1914yescomplemented
812C2×C4⋊Q8C22×C1912yes—
813C2×C4⋊Q8C22×C1912yes—
814C2×C4⋊Q8C22×C1914yescomplemented
815#529C22×C1914yes—
816#529C22×C1914yes—
817#529C22×C1914yes—
818#529C22×C1914yes—
819#529C22×C1914yes—
820#529C22×C1914yes—
821#529C22×C1914yescomplemented
822#529C22×C1914yescomplemented
823C2×#125C22×C1912yes—
824C2×#125C22×C1912yes—
825C2×#125C22×C1914yescomplemented
826#525C22×C1912yes—
827#525C22×C1912yes—
828#525C22×C1918yes—
829C2×C22⋊Q8C22×C1914yes—
830#520C22×C1912yes—
831#520C22×C1912yes—
832#520C22×C1912yes—
833#520C22×C1912yes—
834C4×#41C22×C1912yes—
835C4×#41C22×C1912yes—
836C2×#117C22×C1911yescharacteristic
837C2×#117C22×C1911yescharacteristic
838C22×C4⋊C4C22×C1911yescharacteristic
839C2×C19—22no—
840C2×C19—44no—
841C2×C19—44no—
842C2×C19—42no—
843C2×C19C22×2−1+411yescharacteristic
844C2×C19H(7,𝔽2)11yescharacteristic
845C2×C192−1+611yescharacteristic
846C2×#41C23×C1912yes—
847C2×#41C23×C1912yes—
848C2×#41C23×C1918yes—
849C2×#41C23×C1918yes—
850C22×Q8C23×C1914yes—
851C22×Q8C23×C1918yes—
852C23×C4C23×C1911yescharacteristic
853C23×C4C23×C1912yes—
854C4⋊Q8C23×C1914yes—
855C4⋊Q8C23×C1914yes—
856C4⋊Q8C23×C1918yes—
857C4⋊Q8C23×C1914yes—
858C4⋊Q8C23×C1914yes—
859C4⋊Q8C23×C1914yes—
860C4⋊Q8C23×C1914yes—
861C4⋊Q8C23×C1912yes—
862C4⋊Q8C23×C1918yes—
863C4⋊Q8C23×C1918yes—
864C4⋊Q8C23×C1914yes—
865C4⋊Q8C23×C1914yes—
866C4⋊Q8C23×C1912yes—
867C4⋊Q8C23×C1912yes—
868C4⋊Q8C23×C1914yes—
869C4⋊Q8C23×C1914yes—
870C4⋊Q8C23×C1918yes—
871C4⋊Q8C23×C1918yes—
872C4⋊Q8C23×C1918yes—
873C4⋊Q8C23×C1918yes—
874#127C23×C1912yes—
875#126C23×C1914yes—
876#126C23×C1914yes—
877#126C23×C1914yes—
878#126C23×C1914yes—
879#126C23×C1914yes—
880#126C23×C1914yes—
881#126C23×C1914yes—
882#126C23×C1914yes—
883#126C23×C1918yes—
884#126C23×C1918yes—
885#126C23×C1918yes—
886#126C23×C1918yes—
887#126C23×C1918yes—
888#126C23×C1918yes—
889#126C23×C1918yes—
890#126C23×C1918yes—
891#126C23×C1918yes—
892#126C23×C1918yes—
893#126C23×C1918yes—
894#126C23×C1918yes—
895#125C23×C1914yes—
896#125C23×C1914yes—
897#125C23×C1918yes—
898#125C23×C1914yes—
899#125C23×C1914yes—
900#125C23×C1914yes—
901#125C23×C1914yes—
902#125C23×C1912yes—
903#125C23×C1918yes—
904#125C23×C1918yes—
905#125C23×C1914yes—
906#125C23×C1914yes—
907#125C23×C1914yes—
908#125C23×C1914yes—
909#125C23×C1914yes—
910#125C23×C1914yes—
911#125C23×C1914yes—
912#125C23×C1914yes—
913#125C23×C1912yes—
914#125C23×C1918yes—
915#125C23×C1914yes—
916#125C23×C1914yes—
917#125C23×C1918yes—
918#125C23×C1918yes—
919#125C23×C1918yes—
920#125C23×C1918yes—
921#125C23×C1918yes—
922#125C23×C1918yes—
923#125C23×C1918yes—
924#125C23×C1918yes—
925#124C23×C1914yes—
926#124C23×C1914yes—
927#124C23×C1914yes—
928#124C23×C1914yes—
929#124C23×C1914yes—
930#124C23×C1914yes—
931#124C23×C1912yes—
932#124C23×C1912yes—
933#124C23×C1918yes—
934#124C23×C1918yes—
935#124C23×C1918yes—
936#124C23×C1918yes—
937#124C23×C1918yes—
938#123C23×C1914yes—
939#123C23×C1914yes—
940#123C23×C1918yes—
941#123C23×C1918yes—
942#123C23×C1914yes—
943#123C23×C1914yes—
944#123C23×C1914yes—
945#123C23×C1914yes—
946#123C23×C1914yes—
947#123C23×C1914yes—
948#123C23×C1914yes—
949#123C23×C1914yes—
950#123C23×C1918yes—
951#123C23×C1918yes—
952#123C23×C1918yes—
953#123C23×C1918yes—
954#123C23×C1918yes—
955#123C23×C1918yes—
956#123C23×C1918yes—
957#123C23×C1918yes—
958#123C23×C1918yes—
959#123C23×C1918yes—
960C22⋊Q8C23×C1918yes—
961C22⋊Q8C23×C1918yes—
962C22⋊Q8C23×C1918yes—
963C22⋊Q8C23×C1918yes—
964C22⋊Q8C23×C1918yes—
965C22⋊Q8C23×C1918yes—
966C22⋊Q8C23×C1912yes—
967C22⋊Q8C23×C1912yes—
968C22⋊Q8C23×C1912yes—
969C22⋊Q8C23×C1912yes—
970C22⋊Q8C23×C1914yes—
971C22⋊Q8C23×C1914yes—
972C22⋊Q8C23×C1914yes—
973C22⋊Q8C23×C1914yes—
974C22⋊Q8C23×C1914yes—
975C22⋊Q8C23×C1914yes—
976C22⋊Q8C23×C1914yes—
977C22⋊Q8C23×C1914yes—
978C22⋊Q8C23×C1914yes—
979C22⋊Q8C23×C1914yes—
980C22⋊Q8C23×C1918yes—
981C22⋊Q8C23×C1914yes—
982C22⋊Q8C23×C1914yes—
983C22⋊Q8C23×C1918yes—
984C22⋊Q8C23×C1918yes—
985C22⋊Q8C23×C1918yes—
986C22⋊Q8C23×C1918yes—
987C22⋊Q8C23×C1918yes—
988C22⋊Q8C23×C1918yes—
989C22⋊Q8C23×C1918yes—
990C22⋊Q8C23×C1918yes—
991C22⋊Q8C23×C1918yes—
992C22⋊Q8C23×C1918yes—
993C22⋊Q8C23×C1918yes—
994C22⋊Q8C23×C1918yes—
995C22⋊Q8C23×C1918yes—
996C22⋊Q8C23×C1918yes—
997C22⋊Q8C23×C1918yes—
998C22⋊Q8C23×C1918yes—
999#121C23×C1918yes—
1000#121C23×C1918yes—
1001#121C23×C1912yes—
1002#121C23×C1912yes—
1003#121C23×C1912yes—
1004#121C23×C1912yes—
1005#121C23×C1914yes—
1006#121C23×C1914yes—
1007#121C23×C1914yes—
1008#121C23×C1914yes—
1009#121C23×C1914yes—
1010#121C23×C1914yes—
1011#121C23×C1914yes—
1012#121C23×C1914yes—
1013#121C23×C1914yes—
1014#121C23×C1914yes—
1015#121C23×C1918yes—
1016#121C23×C1914yes—
1017#121C23×C1914yes—
1018#121C23×C1918yes—
1019#121C23×C1918yes—
1020#121C23×C1918yes—
1021#121C23×C1918yes—
1022#120C23×C1914yes—
1023#120C23×C1914yes—
1024C4×Q8C23×C1912yes—
1025C4×Q8C23×C1912yes—
1026C4×Q8C23×C1912yes—
1027C4×Q8C23×C1912yes—
1028C4×Q8C23×C1914yes—
1029C4×Q8C23×C1914yes—
1030C4×Q8C23×C1914yes—
1031C4×Q8C23×C1914yes—
1032C4×Q8C23×C1914yes—
1033C4×Q8C23×C1914yes—
1034C4×Q8C23×C1914yes—
1035C4×Q8C23×C1914yes—
1036C4×Q8C23×C1918yes—
1037C4×Q8C23×C1918yes—
1038C4×Q8C23×C1918yes—
1039C4×Q8C23×C1918yes—
1040C4×Q8C23×C1918yes—
1041C4×D4C23×C1914yes—
1042C4×D4C23×C1914yes—
1043C4×D4C23×C1914yes—
1044C4×D4C23×C1914yes—
1045C4×D4C23×C1912yes—
1046C4×D4C23×C1912yes—
1047C4×D4C23×C1912yes—
1048C4×D4C23×C1912yes—
1049C4×D4C23×C1918yes—
1050C4×D4C23×C1918yes—
1051C4×D4C23×C1918yes—
1052C4×D4C23×C1918yes—
1053C4×D4C23×C1914yes—
1054C4×D4C23×C1914yes—
1055C4×D4C23×C1914yes—
1056C4×D4C23×C1914yes—
1057C4×D4C23×C1914yes—
1058C4×D4C23×C1914yes—
1059C4×D4C23×C1914yes—
1060C4×D4C23×C1914yes—
1061C4×D4C23×C1918yes—
1062C4×D4C23×C1918yes—
1063C4×D4C23×C1914yes—
1064C4×D4C23×C1914yes—
1065C4×D4C23×C1914yes—
1066C4×D4C23×C1914yes—
1067C4×D4C23×C1918yes—
1068C4×D4C23×C1918yes—
1069C4×D4C23×C1918yes—
1070#117C23×C1912yes—
1071#117C23×C1912yes—
1072#117C23×C1912yes—
1073#117C23×C1912yes—
1074#117C23×C1914yes—
1075#117C23×C1914yes—
1076#117C23×C1912yes—
1077#117C23×C1912yes—
1078#117C23×C1914yes—
1079#117C23×C1914yes—
1080#117C23×C1914yes—
1081#117C23×C1914yes—
1082#117C23×C1914yes—
1083#117C23×C1914yes—
1084#117C23×C1918yes—
1085#117C23×C1918yes—
1086#117C23×C1918yes—
1087#117C23×C1918yes—
1088#117C23×C1918yes—
1089#117C23×C1918yes—
1090C2×C4⋊C4C23×C1912yes—
1091C2×C4⋊C4C23×C1912yes—
1092C2×C4⋊C4C23×C1914yes—
1093C2×C4⋊C4C23×C1914yes—
1094C2×C4⋊C4C23×C1911yescharacteristic
1095C2×C4⋊C4C23×C1911yescharacteristic
1096C2×C4⋊C4C23×C1911yescharacteristic
1097C2×C4⋊C4C23×C1911yescharacteristic
1098C2×C4⋊C4C23×C1914yes—
1099C2×C4⋊C4C23×C1914yes—
1100C2×C4⋊C4C23×C1914yes—
1101C2×C4⋊C4C23×C1914yes—
1102C2×C4⋊C4C23×C1914yes—
1103C2×C4⋊C4C23×C1914yes—
1104C2×C4⋊C4C23×C1914yes—
1105C2×C4⋊C4C23×C1918yes—
1106C2×C4⋊C4C23×C1918yes—
1107C2×C4⋊C4C23×C1918yes—
1108C2×C22⋊C4C23×C1912yes—
1109C2×C22⋊C4C23×C1912yes—
1110C2×C42C23×C1912yes—
1111C2×C42C23×C1912yes—
1112C2×C42C23×C1914yes—
1113C2×C42C23×C1914yes—
1114C19#6287711yescharacteristic, direct product factor, Sylow
1115C24C24×C1911yescharacteristic
1116#41—28no—
1117#41—28no—
1118#41—88no—
1119#41—88no—
1120C2×Q8—84no—
1121C2×Q8—88no—
1122C2×Q8C24×C1912yes—
1123C2×Q8C24×C1912yes—
1124C2×Q8C24×C1914yes—
1125C2×Q8C24×C1914yes—
1126C2×Q8C24×C1918yes—
1127C2×Q8C24×C1914yes—
1128C2×Q8C24×C1918yes—
1129C2×Q8C24×C1918yes—
1130C2×Q8C24×C1914yes—
1131C2×D4C24×C1914yes—
1132C2×D4C24×C1914yes—
1133C2×D4C24×C1912yes—
1134C2×D4C24×C1912yes—
1135C2×D4C24×C1914yes—
1136C2×D4C24×C1914yes—
1137C2×D4C24×C1914yes—
1138C2×D4C24×C1914yes—
1139C2×D4C24×C1914yes—
1140C2×D4C24×C1914yes—
1141C2×D4C24×C1918yes—
1142C2×D4C24×C1914yes—
1143C2×D4C24×C1914yes—
1144C22×C4—24no—
1145C22×C4—82no—
1146C22×C4C24×C1911yescharacteristic
1147C22×C4C24×C1914yes—
1148C22×C4C24×C1914yes—
1149C22×C4C24×C1912yes—
1150C22×C4C24×C1912yes—
1151C22×C4C24×C1912yes—
1152C22×C4C24×C1912yes—
1153C22×C4C24×C1912yes—
1154C22×C4C24×C1912yes—
1155C22×C4C24×C1914yes—
1156C22×C4C24×C1914yes—
1157C22×C4C24×C1914yes—
1158C22×C4C24×C1914yes—
1159C22×C4C24×C1914yes—
1160C22×C4C24×C1918yes—
1161C22×C4C24×C1918yes—
1162C22×C4C24×C1918yes—
1163C22×C4C24×C1918yes—
1164C22×C4C24×C1918yes—
1165C22×C4C24×C1911yescharacteristic
1166C4⋊C4C24×C1914yes—
1167C4⋊C4C24×C1914yes—
1168C4⋊C4C24×C1912yes—
1169C4⋊C4C24×C1914yes—
1170C4⋊C4C24×C1914yes—
1171C4⋊C4C24×C1914yes—
1172C4⋊C4C24×C1912yes—
1173C4⋊C4C24×C1914yes—
1174C4⋊C4C24×C1912yes—
1175C4⋊C4C24×C1914yes—
1176C4⋊C4C24×C1918yes—
1177C4⋊C4C24×C1918yes—
1178C4⋊C4C24×C1914yes—
1179C4⋊C4C24×C1918yes—
1180C4⋊C4C24×C1914yes—
1181C4⋊C4C24×C1918yes—
1182C4⋊C4C24×C1914yes—
1183C4⋊C4C24×C1911yescharacteristic
1184C4⋊C4C24×C1911yescharacteristic
1185C4⋊C4C24×C1912yes—
1186C4⋊C4C24×C1912yes—
1187C4⋊C4C24×C1911yescharacteristic
1188C4⋊C4C24×C1911yescharacteristic
1189C4⋊C4C24×C1918yes—
1190C4⋊C4C24×C1918yes—
1191C4⋊C4C24×C1918yes—
1192C4⋊C4C24×C1918yes—
1193C4⋊C4C24×C1918yes—
1194C4⋊C4C24×C1918yes—
1195C4⋊C4C24×C1918yes—
1196C4⋊C4C24×C1918yes—
1197C4⋊C4C24×C1918yes—
1198C4⋊C4C24×C1918yes—
1199C4⋊C4C24×C1912yes—
1200C4⋊C4C24×C1914yes—
1201C4⋊C4C24×C1914yes—
1202C4⋊C4C24×C1914yes—
1203C4⋊C4C24×C1918yes—
1204C4⋊C4C24×C1914yes—
1205C4⋊C4C24×C1914yes—
1206C4⋊C4C24×C1914yes—
1207C4⋊C4C24×C1914yes—
1208C4⋊C4C24×C1914yes—
1209C4⋊C4C24×C1914yes—
1210C4⋊C4C24×C1914yes—
1211C4⋊C4C24×C1918yes—
1212C4⋊C4C24×C1914yes—
1213C4⋊C4C24×C1914yes—
1214C4⋊C4C24×C1914yes—
1215C4⋊C4C24×C1914yes—
1216C4⋊C4C24×C1914yes—
1217C4⋊C4C24×C1914yes—
1218C22⋊C4C24×C1912yes—
1219C22⋊C4C24×C1912yes—
1220C22⋊C4C24×C1912yes—
1221C22⋊C4C24×C1918yes—
1222C22⋊C4C24×C1912yes—
1223C22⋊C4C24×C1914yes—
1224C22⋊C4C24×C1914yes—
1225C22⋊C4C24×C1918yes—
1226C22⋊C4C24×C1918yes—
1227C22⋊C4C24×C1918yes—
1228C22⋊C4C24×C1914yes—
1229C22⋊C4C24×C1914yes—
1230C22⋊C4C24×C1914yes—
1231C22⋊C4C24×C1914yes—
1232C22⋊C4C24×C1914yes—
1233C22⋊C4C24×C1914yes—
1234C22⋊C4C24×C1914yes—
1235C22⋊C4C24×C1914yes—
1236C22⋊C4C24×C1918yes—
1237C22⋊C4C24×C1918yes—
1238C22⋊C4C24×C1918yes—
1239C22⋊C4C24×C1918yes—
1240C22⋊C4C24×C1914yes—
1241C22⋊C4C24×C1914yes—
1242C22⋊C4C24×C1914yes—
1243C22⋊C4C24×C1914yes—
1244C22⋊C4C24×C1918yes—
1245C22⋊C4C24×C1914yes—
1246C22⋊C4C24×C1914yes—
1247C22⋊C4C24×C1914yes—
1248C22⋊C4C24×C1914yes—
1249C42C24×C1912yes—
1250C42C24×C1912yes—
1251C42C24×C1914yes—
1252C42C24×C1914yes—
1253C42C24×C1912yes—
1254C42C24×C1912yes—
1255C42C24×C1914yes—
1256C42C24×C1914yes—
1257C42C24×C1914yes—
1258C42C24×C1914yes—
1259C42C24×C1914yes—
1260C42C24×C1914yes—
1261C42C24×C1918yes—
1262C42C24×C1918yes—
1263C42C24×C1918yes—
1264C42C24×C1918yes—
1265C23—22no—
1266C23—41no—
1267C23—41no—
1268C23C25×C1912yes—
1269C23C25×C1914yes—
1270C23C25×C1914yes—
1271C23C25×C1911yescharacteristic
1272Q8—24no—
1273Q8—24no—
1274Q8—48no—
1275Q8—44no—
1276Q8—44no—
1277Q8—48no—
1278Q8—48no—
1279Q8—44no—
1280Q8—44no—
1281D4—28no—
1282D4—28no—
1283D4—24no—
1284D4—24no—
1285D4—44no—
1286D4—48no—
1287D4—44no—
1288D4—44no—
1289D4—44no—
1290D4—44no—
1291D4—44no—
1292D4—44no—
1293D4—44no—
1294C2×C4—22no—
1295C2×C4—24no—
1296C2×C4—24no—
1297C2×C4—28no—
1298C2×C4—28no—
1299C2×C4—44no—
1300C2×C4—48no—
1301C2×C4—42no—
1302C2×C4—42no—
1303C2×C4—44no—
1304C2×C4—48no—
1305C2×C4—48no—
1306C2×C4—48no—
1307C2×C4—44no—
1308C2×C4—42no—
1309C2×C4—44no—
1310C2×C4—42no—
1311C2×C4—48no—
1312C2×C4—44no—
1313C2×C4C19×2−1+414yes—
1314C2×C4C25×C1914yes—
1315C2×C4C25×C1914yes—
1316C2×C4C25×C1914yes—
1317C2×C4C25×C1911yescharacteristic
1318C2×C4C25×C1911yescharacteristic
1319C2×C4C25×C1912yes—
1320C2×C4C25×C1912yes—
1321C2×C4C25×C1914yes—
1322C2×C4C25×C1914yes—
1323C2×C4C25×C1914yes—
1324C2×C4C25×C1914yes—
1325C2×C4C25×C1912yes—
1326C2×C4C25×C1912yes—
1327C2×C4C25×C1914yes—
1328C2×C4C25×C1918yes—
1329C2×C4C25×C1912yes—
1330C22—21no—
1331C22—21no—
1332C22—22no—
1333C22—24no—
1334C22—24no—
1335C22—24no—
1336C22—22no—
1337C22—24no—
1338C22—24no—
1339C22—24no—
1340C22—22no—
1341C22—44no—
1342C22C2×C19×2−1+412yes—
1343C22C26×C1911yescharacteristic
1344C4—21no—
1345C4—21no—
1346C4—24no—
1347C4—24no—
1348C4—28no—
1349C4—24no—
1350C4—22no—
1351C4—24no—
1352C4—24no—
1353C4—22no—
1354C4—22no—
1355C4—24no—
1356C4—24no—
1357C4—22no—
1358C4—24no—
1359C4C2×C19×2−1+414yes—
1360C2—22no—
1361C2—42no—
1362C2—44no—
1363C2—44no—
1364C2C22×C19×2−1+411yescharacteristic
1365C2C19×H(7,𝔽2)11yescharacteristic
1366C2C19×2−1+611yescharacteristic
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×#3565C2semidirect
2. C19×#3565C2semidirect
3. C19×#3563C2semidirect
4. C19×#3559C2semidirect
5. C19×#3555C2semidirect
6. C19×#3553C2semidirect
7. C19×#3552C2semidirect
8. C19×#3552C2semidirect
9. C19×#3547C2semidirect
10. C19×#3544C2semidirect
11. C19×#3541C2semidirect
12. C19×#3512C2semidirect
13. C19×#3511C2semidirect
14. C19×#3504C2semidirect
15. C19×#3503C2semidirect
16. C19×#3493C2semidirect
17. C19×#3493C2semidirect
18. C19×#3492C2semidirect
19. C2×C19×#544C2semidirect
20. C19×#3455C2semidirect
21. C19×#564C22semidirect
24. C19×#563C22semidirect
25. C19×#563C22semidirect
26. C19×#563C22semidirect
27. C19×#563C22semidirect
30. C19×#562C22semidirect
31. Q82×C19C22semidirect
32. C19×#557C22semidirect
33. C19×#557C22semidirect
34. C19×#557C22semidirect
35. C19×#557C22semidirect
39. C19×#556C22semidirect
40. C19×#556C22semidirect
43. C19×#555C22semidirect
49. C19×#554C22semidirect
50. C19×#554C22semidirect
51. C19×#554C22semidirect
52. C19×#554C22semidirect
60. C19×#553C22semidirect
61. C19×#553C22semidirect
67. C19×#552C22semidirect
68. C19×#552C22semidirect
69. C19×#552C22semidirect
70. C19×#552C22semidirect
72. D4×Q8×C19C22semidirect
73. D4×Q8×C19C22semidirect
79. C19×#547C22semidirect
80. C19×#547C22semidirect
88. C19×#544C22semidirect
89. C19×#544C22semidirect
90. C19×#544C22semidirect
91. C19×#544C22semidirect
92. C19×#544C22semidirect
100. C19×#542C22semidirect
101. C19×#542C22semidirect
102. C19×#542C22semidirect
106. C19×#541C22semidirect
107. C19×#541C22semidirect
108. C19×#541C22semidirect
109. C19×#541C22semidirect
112. C19×#540C22semidirect
118. C19×#539C22semidirect
119. C19×#539C22semidirect
129. C19×#536C22semidirect
131. C19×#533C22semidirect
132. C19×#533C22semidirect
133. C19×#533C22semidirect
135. C19×#532C22semidirect
138. C2×C19×C4⋊Q8C22semidirect
145. C19×#529C22semidirect
146. C19×#529C22semidirect
149. C2×C19×#125C22semidirect
581. #62877C19direct (N × H)
647. #3565C2×C19semidirect
648. #3565C2×C19semidirect
649. #3563C2×C19semidirect
650. #3559C2×C19semidirect
651. #3555C2×C19semidirect
652. #3553C2×C19semidirect
653. #3552C2×C19semidirect
654. #3552C2×C19semidirect
655. #3547C2×C19semidirect
656. #3544C2×C19semidirect
657. #3541C2×C19semidirect
658. #3512C2×C19semidirect
659. #3511C2×C19semidirect
660. #3504C2×C19semidirect
661. #3503C2×C19semidirect
662. #3493C2×C19semidirect
663. #3493C2×C19semidirect
664. #3492C2×C19semidirect
665. C2×#544C2×C19semidirect
666. #3455C2×C19semidirect
697. #564C22×C19semidirect
700. #563C22×C19semidirect
701. #563C22×C19semidirect
702. #563C22×C19semidirect
703. #563C22×C19semidirect
706. #562C22×C19semidirect
707. Q82C22×C19semidirect
708. #557C22×C19semidirect
709. #557C22×C19semidirect
710. #557C22×C19semidirect
711. #557C22×C19semidirect
715. #556C22×C19semidirect
716. #556C22×C19semidirect
719. #555C22×C19semidirect
725. #554C22×C19semidirect
726. #554C22×C19semidirect
727. #554C22×C19semidirect
728. #554C22×C19semidirect
736. #553C22×C19semidirect
737. #553C22×C19semidirect
743. #552C22×C19semidirect
744. #552C22×C19semidirect
745. #552C22×C19semidirect
746. #552C22×C19semidirect
748. D4×Q8C22×C19semidirect
749. D4×Q8C22×C19semidirect
755. #547C22×C19semidirect
756. #547C22×C19semidirect
764. #544C22×C19semidirect
765. #544C22×C19semidirect
766. #544C22×C19semidirect
767. #544C22×C19semidirect
768. #544C22×C19semidirect
776. #542C22×C19semidirect
777. #542C22×C19semidirect
778. #542C22×C19semidirect
782. #541C22×C19semidirect
783. #541C22×C19semidirect
784. #541C22×C19semidirect
785. #541C22×C19semidirect
788. #540C22×C19semidirect
794. #539C22×C19semidirect
795. #539C22×C19semidirect
805. #536C22×C19semidirect
807. #533C22×C19semidirect
808. #533C22×C19semidirect
809. #533C22×C19semidirect
811. #532C22×C19semidirect
814. C2×C4⋊Q8C22×C19semidirect
821. #529C22×C19semidirect
822. #529C22×C19semidirect
825. C2×#125C22×C19semidirect
1114. C19#62877direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35652
C19×#35632
C19×#35592
C19×#35552
C19×#35532
C19×#35522
C19×#35472
C19×#35442
C19×#35412
C19×#35122
C19×#35112
C19×#35042
C19×#35032
C19×#34932
C19×#34922
C2×C19×#5442
C19×#34552
#6287719