Finite Group Databasebeta

← #18091267

Subgroups — #18091267

Order 4864.

878 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Dic19⋊C4C211yesmaximal, characteristic
2C2×#11926299C211yesmaximal, characteristic
3C2×#11926298C211yesmaximal, characteristic
4C2×#11926298C211yesmaximal, characteristic
5C2×#11926298C211yesmaximal, characteristic
6C2×#11926298C211yesmaximal, characteristic
7C2×C19×#336C211yesmaximal, characteristic
8C23×C19⋊C8C2211yescharacteristic
9C23×C19⋊C8C2211yescharacteristic
10C22×Dic19⋊C4C411yescharacteristic
11C22×Dic19⋊C4C411yescharacteristic
12C22×C4×Dic19C2211yescharacteristic
13C22×C4×Dic19C2211yescharacteristic
14C4×Dic19⋊C4—22no—
15C4×Dic19⋊C4—22no—
16C2×C19⋊#95C411yescharacteristic
17C2×C19⋊#95C411yescharacteristic
18#11926299—22no—
19#11926298—22no—
20#11926298—22no—
21#11926298—22no—
22#11926298—22no—
23C23×C8×C19C2211yescharacteristic
24C23×C8×C19C2211yescharacteristic
25C22×C42×C19C2211yescharacteristic
26C19×#336—22no—
27C23×C4×C19C2×C411yescharacteristic
28C23×C4×C19C2×C411yescharacteristic
29C23×C4×C19C2311yescharacteristic
30C23×Dic19C2×C411yescharacteristic
31C23×Dic19C2×C411yescharacteristic
32C23×Dic19C2×C411yescharacteristic
33C23×Dic19C2×C411yescharacteristic
34C22×C8×C19—21no—
35C22×C8×C19—21no—
36C22×C8×C19—21no—
37C22×C8×C19—21no—
38C22×C8×C19—21no—
39C22×C8×C19—21no—
40C22×C8×C19—21no—
41C22×C8×C19—21no—
42C22×C8×C19—21no—
43C22×C8×C19—21no—
44C22×C8×C19—21no—
45C22×C8×C19—21no—
46C22×C8×C19D412yes—
47C22×C8×C19Q812yes—
48C2×C42×C19—21no—
49C2×C42×C19—21no—
50C2×C42×C19—21no—
51C2×C42×C19—21no—
52C2×C42×C19—21no—
53C2×C42×C19—21no—
54C2×Dic19⋊C4—22no—
55C2×Dic19⋊C4—22no—
56C2×Dic19⋊C4—22no—
57C2×Dic19⋊C4—22no—
58C2×Dic19⋊C4—22no—
59C2×Dic19⋊C4C814yescomplemented
60C2×C4×Dic19—21no—
61C2×C4×Dic19—21no—
62C2×C4×Dic19—21no—
63C2×C4×Dic19—21no—
64C2×C4×Dic19—21no—
65C2×C4×Dic19—21no—
66C2×C4×Dic19—21no—
67C2×C4×Dic19—21no—
68C2×C4×Dic19—21no—
69C2×C4×Dic19—21no—
70C2×C4×Dic19D412yes—
71C2×C4×Dic19D412yes—
72C22×C19⋊C8—21no—
73C22×C19⋊C8—21no—
74C22×C19⋊C8—21no—
75C22×C19⋊C8—21no—
76C22×C19⋊C8—21no—
77C22×C19⋊C8—21no—
78C22×C19⋊C8—21no—
79C22×C19⋊C8—21no—
80C22×C19⋊C8—21no—
81C22×C19⋊C8—21no—
82C22×C19⋊C8—21no—
83C22×C19⋊C8—21no—
84C22×C19⋊C8D412yes—
85C22×C19⋊C8Q812yes—
86C19⋊#95—22no—
87C19⋊#95—22no—
88C24×C19C22×C411yescharacteristic
89C22×C4×C19—21no—
90C22×C4×C19—21no—
91C22×C4×C19—21no—
92C22×C4×C19—21no—
93C22×C4×C19—21no—
94C22×C4×C19—21no—
95C22×C4×C19—21no—
96C22×C4×C19—21no—
97C22×C4×C19—21no—
98C22×C4×C19—21no—
99C22×C4×C19—21no—
100C22×C4×C19—21no—
101C22×C4×C19C2×C812yes—
102C22×C4×C19M1612yes—
103C22×C4×C19C2×D411yescharacteristic
104C22×C4×C19C2×D411yescharacteristic
105C22×C4×C19C2×D411yescharacteristic
106C22×C4×C19C2×D411yescharacteristic
107C22×C4×C19C2×Q811yescharacteristic
108C22×C4×C19C2×Q811yescharacteristic
109C22×C4×C19#4111yescharacteristic
110C22×C4×C19#4111yescharacteristic
111C22×C4×C19#4111yescharacteristic
112C22×C4×C19#4111yescharacteristic
113C22×C4×C19#4111yescharacteristic
114C22×C4×C19#4111yescharacteristic
115C22×C4×C19#4111yescharacteristic
116C22×C4×C19#4111yescharacteristic
117C22×Dic19—21no—
118C22×Dic19—21no—
119C22×Dic19—21no—
120C22×Dic19—21no—
121C22×Dic19—21no—
122C22×Dic19—21no—
123C22×Dic19—21no—
124C22×Dic19—21no—
125C22×Dic19—21no—
126C22×Dic19—21no—
127C22×Dic19—21no—
128C22×Dic19—21no—
129C22×Dic19—21no—
130C22×Dic19—21no—
131C22×Dic19—21no—
132C22×Dic19—21no—
133C22×Dic19—21no—
134C22×Dic19—21no—
135C22×Dic19—21no—
136C22×Dic19—21no—
137C22×Dic19—21no—
138C22×Dic19—21no—
139C22×Dic19C22⋊C412yes—
140C22×Dic19C22⋊C412yes—
141C22×Dic19C2×C812yes—
142C22×Dic19C2×C812yes—
143C22×Dic19M1612yes—
144C22×Dic19M1612yes—
145C2×C8×C19—22no—
146C2×C8×C19—22no—
147C2×C8×C19—22no—
148C2×C8×C19—22no—
149C2×C8×C19—22no—
150C2×C8×C19—22no—
151C2×C8×C19—41no—
152C2×C8×C19—41no—
153C2×C8×C19—41no—
154C2×C8×C19—41no—
155C2×C8×C19—41no—
156C2×C8×C19—41no—
157C2×C8×C19—41no—
158C2×C8×C19—41no—
159C42×C19—41no—
160C42×C19—41no—
161C42×C19—41no—
162C42×C19—41no—
163Dic19⋊C4—28no—
164Dic19⋊C4—28no—
165C4×Dic19—22no—
166C4×Dic19—22no—
167C4×Dic19—22no—
168C4×Dic19—22no—
169C4×Dic19—41no—
170C4×Dic19—41no—
171C4×Dic19—41no—
172C4×Dic19—41no—
173C2×C19⋊C8—22no—
174C2×C19⋊C8—22no—
175C2×C19⋊C8—22no—
176C2×C19⋊C8—22no—
177C2×C19⋊C8—22no—
178C2×C19⋊C8—22no—
179C2×C19⋊C8—41no—
180C2×C19⋊C8—41no—
181C2×C19⋊C8—41no—
182C2×C19⋊C8—41no—
183C2×C19⋊C8—41no—
184C2×C19⋊C8—41no—
185C2×C19⋊C8—41no—
186C2×C19⋊C8—41no—
187#11346—191nomaximal, Sylow
188C23×C19C2×C22⋊C411yescharacteristic
189C23×C19#11711yescharacteristic
190C23×C19#11711yescharacteristic
191C23×C19C4×D411yescharacteristic
192C23×C19C4×D411yescharacteristic
193C23×C19C4×Q811yescharacteristic
194C23×C19C4×Q811yescharacteristic
195C23×C19C22×C811yescharacteristic
196C23×C19C2×M1611yescharacteristic
197C23×C19C2×M1611yescharacteristic
198C23×C19C2×M1611yescharacteristic
199C23×C19#13111yescharacteristic
200C23×C19#13111yescharacteristic
201C23×C19#13111yescharacteristic
202C23×C19#13111yescharacteristic
203C2×C4×C19—22no—
204C2×C4×C19—22no—
205C2×C4×C19—22no—
206C2×C4×C19—22no—
207C2×C4×C19—22no—
208C2×C4×C19—22no—
209C2×C4×C19—41no—
210C2×C4×C19—41no—
211C2×C4×C19—41no—
212C2×C4×C19—41no—
213C2×C4×C19—41no—
214C2×C4×C19—41no—
215C2×C4×C19—41no—
216C2×C4×C19—41no—
217C2×C4×C19#12111yescharacteristic
218C2×C4×C19#12111yescharacteristic
219C2×C4×C19C22⋊Q811yescharacteristic
220C2×C4×C19C22⋊Q811yescharacteristic
221C2×C4×C19C22⋊Q811yescharacteristic
222C2×C4×C19C22⋊Q811yescharacteristic
223C2×C4×C19C22⋊Q811yescharacteristic
224C2×C4×C19C22⋊Q811yescharacteristic
225C2×C4×C19#12311yescharacteristic
226C2×C4×C19#12311yescharacteristic
227C2×C4×C19#12311yescharacteristic
228C2×C4×C19#12311yescharacteristic
229C2×C4×C19#12311yescharacteristic
230C2×C4×C19#12311yescharacteristic
231C2×C4×C19#12311yescharacteristic
232C2×C4×C19#12311yescharacteristic
233C2×C4×C19#12411yescharacteristic
234C2×C4×C19#12411yescharacteristic
235C2×C4×C19#12511yescharacteristic
236C2×C4×C19#12511yescharacteristic
237C2×C4×C19#12511yescharacteristic
238C2×C4×C19#12511yescharacteristic
239C2×C4×C19#12611yescharacteristic
240C2×C4×C19#12611yescharacteristic
241C2×C4×C19#12611yescharacteristic
242C2×C4×C19#12611yescharacteristic
243C2×C4×C19#12711yescharacteristic
244C2×C4×C19C4⋊Q811yescharacteristic
245C2×Dic19—22no—
246C2×Dic19—22no—
247C2×Dic19—22no—
248C2×Dic19—22no—
249C2×Dic19—22no—
250C2×Dic19—22no—
251C2×Dic19—22no—
252C2×Dic19—22no—
253C2×Dic19—22no—
254C2×Dic19—22no—
255C2×Dic19—22no—
256C2×Dic19—22no—
257C2×Dic19—22no—
258C2×Dic19—22no—
259C2×Dic19—22no—
260C2×Dic19—41no—
261C2×Dic19—41no—
262C2×Dic19—41no—
263C2×Dic19—41no—
264C2×Dic19—41no—
265C2×Dic19—41no—
266C2×Dic19—41no—
267C2×Dic19—41no—
268C2×Dic19—41no—
269C2×Dic19—41no—
270C2×Dic19—41no—
271C2×Dic19—41no—
272C2×Dic19C22⋊C814yes—
273C8×C19—42no—
274C8×C19—42no—
275C19⋊C8—42no—
276C19⋊C8—42no—
277C2×C4×C4⋊C4—191no—
278C2×#336—191no—
279C2×#336—191no—
280C2×#336—191no—
281C2×#336—191no—
282C2×#336—191no—
283C2×#336D1911yescharacteristic
284C22×C19#38111yescharacteristic
285C22×C19#38711yescharacteristic
286C22×C19#38711yescharacteristic
287C22×C19#38711yescharacteristic
288C22×C19#38711yescharacteristic
289C22×C19#39011yescharacteristic
290C22×C19#39111yescharacteristic
291C22×C19C2×C22⋊C811yescharacteristic
292C22×C19#40711yescharacteristic
293C22×C19#40811yescharacteristic
294C22×C19#40811yescharacteristic
295C22×C19#43111yescharacteristic
296C22×C19#43111yescharacteristic
297C22×C19#43211yescharacteristic
298C22×C19#43211yescharacteristic
299C22×C19#43311yescharacteristic
300C22×C19#43311yescharacteristic
301C22×C19#43311yescharacteristic
302C22×C19#43311yescharacteristic
303C22×C19C8×D411yescharacteristic
304C22×C19C8×D411yescharacteristic
305C22×C19#43511yescharacteristic
306C22×C19#43511yescharacteristic
307C22×C19#43511yescharacteristic
308C22×C19#43511yescharacteristic
309C22×C19#43611yescharacteristic
310C22×C19#43611yescharacteristic
311C22×C19C8×Q811yescharacteristic
312C22×C19C8×Q811yescharacteristic
313C22×C19#44611yescharacteristic
314C22×C19#44611yescharacteristic
315C22×C19#44611yescharacteristic
316C22×C19#44611yescharacteristic
317C22×C19#44611yescharacteristic
318C22×C19#44611yescharacteristic
319C4×C19—42no—
320C4×C19—42no—
321C4×C19#39711yescharacteristic
322C4×C19#39711yescharacteristic
323C4×C19#39811yescharacteristic
324C4×C19#39811yescharacteristic
325C4×C19#39911yescharacteristic
326C4×C19#39911yescharacteristic
327C4×C19#40011yescharacteristic
328C4×C19#40011yescharacteristic
329Dic19—24no—
330Dic19—42no—
331Dic19—42no—
332Dic19—42no—
333C23×C8—191no—
334C23×C8—191no—
335C23×C8C2×D1911yescharacteristic
336C23×C8C2×D1911yescharacteristic
337C22×C4⋊C4—191no—
338C22×C4⋊C4—191no—
339C22×C42—191no—
340C22×C42—191no—
341C22×C42C2×D1911yescharacteristic
342C4×C4⋊C4—382no—
343C4×C4⋊C4—382no—
344C2×#95—191no—
345C2×#95—191no—
346#336—22no—
347#336—382no—
348#336—382no—
349#336—382no—
350#336—382no—
351#336—382no—
352C2×C19#144511yescharacteristic
353C2×C19#181711yescharacteristic
354C2×C19#181811yescharacteristic
355C2×C19#191611yescharacteristic
356C2×C19#191611yescharacteristic
357C2×C19#191611yescharacteristic
358C2×C19#191611yescharacteristic
359C2×C19#191711yescharacteristic
360C2×C19#191711yescharacteristic
361C2×C19#191711yescharacteristic
362C2×C19#191711yescharacteristic
363C2×C19#195411yescharacteristic
364C2×C19#195511yescharacteristic
365C2×C19#198411yescharacteristic
366C2×C19#198511yescharacteristic
367C23×C4—191no—
368C23×C4—191no—
369C23×C4—191no—
370C23×C4—191no—
371C23×C4C4×D1911yescharacteristic
372C23×C4C4×D1911yescharacteristic
373C23×C4C22×D1911yescharacteristic
374C22×C8—21no—
375C22×C8—21no—
376C22×C8—21no—
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—21no—
383C22×C8—21no—
384C22×C8—21no—
385C22×C8—21no—
386C22×C8—192no—
387C22×C8—192no—
388C22×C8—381no—
389C22×C8—381no—
390C22×C8—381no—
391C22×C8—381no—
392C22×C8—381no—
393C22×C8—381no—
394C22×C8—381no—
395C22×C8—381no—
396C22×C8—381no—
397C22×C8—381no—
398C22×C8—381no—
399C22×C8—381no—
400C22×C8Dic3812yes—
401C22×C8C22⋊D1912yes—
402C2×C4⋊C4—194no—
403C2×C4⋊C4—382no—
404C2×C4⋊C4—382no—
405C2×C4⋊C4—382no—
406C2×C4⋊C4—382no—
407C2×C4⋊C4—382no—
408C2×C42—21no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—192no—
415C2×C42—192no—
416C2×C42—381no—
417C2×C42—381no—
418C2×C42—381no—
419C2×C42—381no—
420C2×C42—381no—
421C2×C42—381no—
422C2×C42—381no—
423C2×C42—381no—
424C2×C42—381no—
425C2×C42—381no—
426#95—382no—
427#95—382no—
428C19#1134611yescharacteristic, complemented, Sylow
429C24C2×C4×D1911yescharacteristic
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—192no—
443C22×C4—192no—
444C22×C4—192no—
445C22×C4—192no—
446C22×C4—192no—
447C22×C4—192no—
448C22×C4—381no—
449C22×C4—381no—
450C22×C4—381no—
451C22×C4—381no—
452C22×C4—381no—
453C22×C4—381no—
454C22×C4—381no—
455C22×C4—381no—
456C22×C4—381no—
457C22×C4—381no—
458C22×C4—381no—
459C22×C4—381no—
460C22×C4—381no—
461C22×C4—381no—
462C22×C4—381no—
463C22×C4—381no—
464C22×C4—381no—
465C22×C4—381no—
466C22×C4—381no—
467C22×C4—381no—
468C22×C4—381no—
469C22×C4—381no—
470C22×C4C8×D1912yes—
471C22×C4#6451512yes—
472C22×C4C2×Dic3811yescharacteristic
473C22×C4#6454111yescharacteristic
474C22×C4#6454111yescharacteristic
475C22×C4#6454111yescharacteristic
476C22×C4#6454111yescharacteristic
477C22×C4D4×D1911yescharacteristic
478C22×C4D4×D1911yescharacteristic
479C22×C4D4×D1911yescharacteristic
480C22×C4#6454311yescharacteristic
481C22×C4#6454311yescharacteristic
482C22×C4#6454311yescharacteristic
483C22×C4Q8×D1911yescharacteristic
484C22×C4#6454511yescharacteristic
485C22×C4C2×C22⋊D1911yescharacteristic
486C2×C8—22no—
487C2×C8—22no—
488C2×C8—22no—
489C2×C8—22no—
490C2×C8—22no—
491C2×C8—22no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—41no—
495C2×C8—41no—
496C2×C8—41no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—382no—
501C2×C8—382no—
502C2×C8—382no—
503C2×C8—382no—
504C2×C8—382no—
505C2×C8—382no—
506C2×C8—761no—
507C2×C8—761no—
508C2×C8—761no—
509C2×C8—761no—
510C2×C8—761no—
511C2×C8—761no—
512C2×C8—761no—
513C2×C8—761no—
514C4⋊C4—388no—
515C4⋊C4—388no—
516C42—41no—
517C42—41no—
518C42—41no—
519C42—41no—
520C42—382no—
521C42—382no—
522C42—382no—
523C42—382no—
524C42—761no—
525C42—761no—
526C42—761no—
527C42—761no—
528C23C4×Dic3811yescharacteristic
529C23#1059731811yescharacteristic
530C23C22⋊C4×D1911yescharacteristic
531C23(C22⋊D19)⋊C411yescharacteristic
532C23#1059733311yescharacteristic
533C23#1059733811yescharacteristic
534C23C2×C8×D1911yescharacteristic
535C23C2×#6451511yescharacteristic
536C23#1059734711yescharacteristic
537C23#1059734711yescharacteristic
538C23M16×D1911yescharacteristic
539C23M16×D1911yescharacteristic
540C23#1059735311yescharacteristic
541C23#1059735311yescharacteristic
542C23C4×C22⋊D1911yescharacteristic
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—194no—
558C2×C4—382no—
559C2×C4—382no—
560C2×C4—382no—
561C2×C4—382no—
562C2×C4—382no—
563C2×C4—382no—
564C2×C4—382no—
565C2×C4—382no—
566C2×C4—382no—
567C2×C4—382no—
568C2×C4—382no—
569C2×C4—382no—
570C2×C4—382no—
571C2×C4—382no—
572C2×C4—382no—
573C2×C4—761no—
574C2×C4—761no—
575C2×C4—761no—
576C2×C4—761no—
577C2×C4—761no—
578C2×C4—761no—
579C2×C4—761no—
580C2×C4—761no—
581C2×C4—761no—
582C2×C4—761no—
583C2×C4—761no—
584C2×C4—761no—
585C2×C4#1059731611yescharacteristic
586C2×C4#1059732211yescharacteristic
587C2×C4#1059732411yescharacteristic
588C2×C4#1059732411yescharacteristic
589C2×C4#1059732511yescharacteristic
590C2×C4#1059732511yescharacteristic
591C2×C4#1059732911yescharacteristic
592C2×C4#1059732911yescharacteristic
593C2×C4#1059732911yescharacteristic
594C2×C4#1059733011yescharacteristic
595C2×C4#1059733111yescharacteristic
596C2×C4#1059733111yescharacteristic
597C2×C4#1059733411yescharacteristic
598C2×C4#1059733511yescharacteristic
599C2×C4#1059733511yescharacteristic
600C2×C4#1059733611yescharacteristic
601C2×C4#1059734011yescharacteristic
602C2×C4#1059734011yescharacteristic
603C2×C4#1059734011yescharacteristic
604C2×C4#1059734211yescharacteristic
605C2×C4#1059734211yescharacteristic
606C2×C4#1059734411yescharacteristic
607C2×C4#1059737011yescharacteristic
608C2×C4#1059737511yescharacteristic
609C2×C4#1059738111yescharacteristic
610C2×C4#1059738511yescharacteristic
611C2×C4#1059738611yescharacteristic
612C2×C4#1059739211yescharacteristic
613C8—42no—
614C8—42no—
615C8—762no—
616C8—762no—
617C22#1192640611yescharacteristic
618C22#1192642511yescharacteristic
619C22#1192642611yescharacteristic
620C22#1192642811yescharacteristic
621C22#1192643111yescharacteristic
622C22#1192644411yescharacteristic
623C22#1192644811yescharacteristic
624C22C22⋊C8×D1911yescharacteristic
625C22#1192650611yescharacteristic
626C22#1192650911yescharacteristic
627C22#1192650911yescharacteristic
628C22#1192659511yescharacteristic
629C22#1192659611yescharacteristic
630C22#1192659911yescharacteristic
631C22#1192660011yescharacteristic
632C22#1192660311yescharacteristic
633C22#1192660411yescharacteristic
634C22#1192660411yescharacteristic
635C22#1192660611yescharacteristic
636C22(C22⋊D19)⋊C811yescharacteristic
637C22C8×C22⋊D1911yescharacteristic
638C22#1192661211yescharacteristic
639C22#1192661311yescharacteristic
640C22#1192661511yescharacteristic
641C22#1192661811yescharacteristic
642C22#1192661911yescharacteristic
643C22#1192662011yescharacteristic
644C22#1192666811yescharacteristic
645C22C8×Dic3811yescharacteristic
646C22#1192667111yescharacteristic
647C22#1192667211yescharacteristic
648C22#1192667211yescharacteristic
649C22#1192667311yescharacteristic
650C22#1192667311yescharacteristic
651C22#1192667411yescharacteristic
652C4—42no—
653C4—42no—
654C4—384no—
655C4—762no—
656C4—762no—
657C4—762no—
658C4#1192647211yescharacteristic
659C4#1192647311yescharacteristic
660C4#1192647711yescharacteristic
661C4#1192647811yescharacteristic
662C4#1192647911yescharacteristic
663C4#1192648011yescharacteristic
664C4#1192648511yescharacteristic
665C4#1192648611yescharacteristic
666C2#1456190111yescharacteristic
667C2#1456370211yescharacteristic
668C2#1456370511yescharacteristic
669C2#1456418911yescharacteristic
670C2#1456419011yescharacteristic
671C2#1456419211yescharacteristic
672C2#1456419511yescharacteristic
673C2#1456419611yescharacteristic
674C2#1456419711yescharacteristic
675C2#1456419911yescharacteristic
676C2#1456420211yescharacteristic
677C2#1456442711yescharacteristic
678C2#1456443111yescharacteristic
679C2#1456456911yescharacteristic
680C2#1456457311yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D19
commutatorC23×C19C22×C8
FittingC2×C19×#336C2
socle, prime radicalC24×C19C22×C4
cosocleC23×C4×C19C23
hypercenterC2×#336D19
hypocenterC19#11346
LCSG ▷ C23×C19 ▷ C19
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
59. C2×Dic19⋊C4C8semidirect
428. C19#11346semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Dic19⋊C42
C2×#119262992
C2×#119262982
C2×C19×#3362
#1134619