Finite Group Databasebeta

← C23×#14187 #19161813

Subgroups — C23×#14187 #19161813

Order 5888.

2746 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D4×C23C211yesmaximal, characteristic, complemented
2C2×C23×#392C211yesmaximal, characteristic
3C2×C23×#390C211yesmaximal, characteristic, complemented
4C2×C23×#388C211yesmaximal, characteristic, complemented
5C2×C23×#386C211yesmaximal, characteristic, complemented
6C2×C23×#386C211yesmaximal, characteristic, complemented
7C2×C4×C22⋊C4×C23C211yesmaximal, characteristic, complemented
8C23×#1439C211yesmaximal, characteristic, complemented
9C23×#1438C211yesmaximal, characteristic, complemented
10C23×#1438C211yesmaximal, characteristic, complemented
11C23×#1437C211yesmaximal, characteristic, complemented
12C23×#1437C211yesmaximal, characteristic, complemented
13C23×#1436C211yesmaximal, characteristic, complemented
14C23×#1436C211yesmaximal, characteristic, complemented
15C23×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C23C2211yescharacteristic
17C23×D4×C23C2211yescharacteristic
18C23×D4×C23C2211yescharacteristic
19C24×C4×C23C2211yescharacteristic
20C24×C4×C23C2211yescharacteristic
21C2×C4×D4×C23—24no—
22C2×C4×D4×C23—24no—
23C2×C4×D4×C23—24no—
24C22×C4⋊C4×C23C2211yescharacteristic
25C22×C4⋊C4×C23C2211yescharacteristic
26C22×C22⋊C4×C23C2211yescharacteristic
27C22×C22⋊C4×C23C2211yescharacteristic
28C22×C22⋊C4×C23C2211yescharacteristic
29C22×C22⋊C4×C23C2211yescharacteristic
30C22×C22⋊C4×C23C2211yescharacteristic
31C22×C22⋊C4×C23C2211yescharacteristic
32C22×C22⋊C4×C23C2211yescharacteristic
33C22×C22⋊C4×C23C2211yescharacteristic
34C22×C22⋊C4×C23C2211yescharacteristic
35C22×C22⋊C4×C23C2211yescharacteristic
36C22×C22⋊C4×C23C2211yescharacteristic
37C22×C22⋊C4×C23C2211yescharacteristic
38C22×C22⋊C4×C23C2211yescharacteristic
39C22×C42×C23C2211yescharacteristic
40C22×C42×C23C2211yescharacteristic
41C22×C42×C23C2211yescharacteristic
42C23×#392C418yescomplemented
43C23×#390—24no—
44C23×#388—24no—
45C23×#386—24no—
46C23×#386—24no—
47C4×C22⋊C4×C23—24no—
48C2×C23×#95C2211yescharacteristic
49C2×C23×#95C2211yescharacteristic
50C2×C23×#95C2211yescharacteristic
51C2×C23×#95C2211yescharacteristic
52C2×C23×#95C2211yescharacteristic
53C2×C23×#95C2211yescharacteristic
54C2×C23×#95C2211yescharacteristic
55C2×C23×#95C2211yescharacteristic
56C2×C23×#95C2211yescharacteristic
57C2×C23×#95C2211yescharacteristic
58C2×C23×#95C2211yescharacteristic
59C2×C23×#95C2211yescharacteristic
60C25×C23C2311yescharacteristic
61C25×C23C2311yescharacteristic
62C25×C23C2311yescharacteristic
63C22×D4×C23—22no—
64C22×D4×C23—22no—
65C22×D4×C23—22no—
66C22×D4×C23—22no—
67C22×D4×C23—22no—
68C22×D4×C23—22no—
69C22×D4×C23—22no—
70C22×D4×C23—22no—
71C22×D4×C23—22no—
72C22×D4×C23—22no—
73C22×D4×C23—22no—
74C22×D4×C23—22no—
75C22×D4×C23—41no—
76C22×D4×C23—41no—
77C22×D4×C23—41no—
78C22×D4×C23—41no—
79C22×D4×C23—41no—
80C22×D4×C23—41no—
81C22×D4×C23C2×C414yes—
82C22×D4×C23C2×C414yescomplemented
83C22×D4×C23C2×C414yescomplemented
84C23×C4×C23—22no—
85C23×C4×C23—22no—
86C23×C4×C23—22no—
87C23×C4×C23—22no—
88C23×C4×C23—22no—
89C23×C4×C23—22no—
90C23×C4×C23—22no—
91C23×C4×C23—22no—
92C23×C4×C23—22no—
93C23×C4×C23—41no—
94C23×C4×C23—41no—
95C23×C4×C23—41no—
96C23×C4×C23—41no—
97C23×C4×C23D414yescomplemented
98C23×C4×C23C2311yescharacteristic
99C23×C4×C23C2311yescharacteristic
100C23×C4×C23C2311yescharacteristic
101C23×C4×C23C2311yescharacteristic
102C23×C4×C23C2311yescharacteristic
103C23×C4×C23C2311yescharacteristic
104C23×C4×C23C2311yescharacteristic
105C23×C4×C23C2311yescharacteristic
106C23×C4×C23C2311yescharacteristic
107C23×C4×C23C2311yescharacteristic
108C23×C4×C23C2311yescharacteristic
109C23×C4×C23C2311yescharacteristic
110C4×D4×C23—232no—
111C2×C4⋊C4×C23—22no—
112C2×C4⋊C4×C23—22no—
113C2×C4⋊C4×C23—22no—
114C2×C4⋊C4×C23—22no—
115C2×C4⋊C4×C23—41no—
116C2×C4⋊C4×C23D414yescomplemented
117C2×C22⋊C4×C23—22no—
118C2×C22⋊C4×C23—22no—
119C2×C22⋊C4×C23—22no—
120C2×C22⋊C4×C23—22no—
121C2×C22⋊C4×C23—22no—
122C2×C22⋊C4×C23—22no—
123C2×C22⋊C4×C23—22no—
124C2×C22⋊C4×C23—22no—
125C2×C22⋊C4×C23—22no—
126C2×C22⋊C4×C23—22no—
127C2×C22⋊C4×C23—22no—
128C2×C22⋊C4×C23—22no—
129C2×C22⋊C4×C23—22no—
130C2×C22⋊C4×C23—22no—
131C2×C22⋊C4×C23—22no—
132C2×C22⋊C4×C23—22no—
133C2×C22⋊C4×C23—22no—
134C2×C22⋊C4×C23—22no—
135C2×C22⋊C4×C23—22no—
136C2×C22⋊C4×C23—22no—
137C2×C22⋊C4×C23—22no—
138C2×C22⋊C4×C23—22no—
139C2×C22⋊C4×C23—22no—
140C2×C22⋊C4×C23—22no—
141C2×C22⋊C4×C23—22no—
142C2×C22⋊C4×C23—22no—
143C2×C22⋊C4×C23—22no—
144C2×C22⋊C4×C23—41no—
145C2×C22⋊C4×C23—41no—
146C2×C22⋊C4×C23—41no—
147C2×C22⋊C4×C23—41no—
148C2×C22⋊C4×C23—41no—
149C2×C22⋊C4×C23—41no—
150C2×C22⋊C4×C23—41no—
151C2×C22⋊C4×C23—41no—
152C2×C22⋊C4×C23C2×C414yescomplemented
153C2×C22⋊C4×C23C2×C414yescomplemented
154C2×C22⋊C4×C23C2×C414yescomplemented
155C2×C22⋊C4×C23D414yescomplemented
156C2×C42×C23—22no—
157C2×C42×C23—22no—
158C2×C42×C23—22no—
159C2×C42×C23—22no—
160C2×C42×C23—22no—
161C2×C42×C23—22no—
162C2×C42×C23—22no—
163C2×C42×C23—41no—
164C2×C42×C23—41no—
165C23×#95—22no—
166C23×#95—22no—
167C23×#95—22no—
168C23×#95—22no—
169C23×#95—22no—
170C23×#95—22no—
171C23×#95—22no—
172C23×#95—41no—
173C23×#95—41no—
174C23×#95—41no—
175C23×#95C2×C414yescomplemented
176C23×#95D414yescomplemented
177C24×C23—21no—
178C24×C23—21no—
179C24×C23—21no—
180C24×C23—21no—
181C24×C23—21no—
182C24×C23—21no—
183C24×C23—21no—
184C24×C23—21no—
185C24×C23—21no—
186C24×C23—21no—
187C24×C23—21no—
188C24×C23—21no—
189C24×C23—21no—
190C24×C23—21no—
191C24×C23—21no—
192C24×C23—21no—
193C24×C23—21no—
194C24×C23—21no—
195C24×C23—21no—
196C24×C23—21no—
197C24×C23—21no—
198C24×C23—21no—
199C24×C23—21no—
200C24×C23—21no—
201C24×C23—21no—
202C24×C23—21no—
203C24×C23—21no—
204C24×C23—21no—
205C24×C23—21no—
206C24×C23—21no—
207C24×C23—21no—
208C24×C23—21no—
209C24×C23—21no—
210C24×C23—21no—
211C24×C23—21no—
212C24×C23—21no—
213C24×C23—21no—
214C24×C23—21no—
215C24×C23C22×C412yes—
216C24×C23C22×C412yes—
217C24×C23C22×C412yes—
218C24×C23C2×D412yes—
219C24×C23C2×D412yes—
220C24×C23#4112yes—
221C24×C23#4112yes—
222C24×C23C2411yescharacteristic
223C2×D4×C23—28no—
224C2×D4×C23—28no—
225C2×D4×C23—28no—
226C2×D4×C23—28no—
227C2×D4×C23—28no—
228C2×D4×C23—28no—
229C2×D4×C23—28no—
230C2×D4×C23—28no—
231C2×D4×C23—28no—
232C2×D4×C23—28no—
233C2×D4×C23—44no—
234C2×D4×C23—44no—
235C2×D4×C23—44no—
236C2×D4×C23—44no—
237C2×D4×C23—44no—
238C2×D4×C23—44no—
239C2×D4×C23—44no—
240C2×D4×C23—44no—
241C2×D4×C23—44no—
242C2×D4×C23—44no—
243C2×D4×C23—44no—
244C22×C4×C23—21no—
245C22×C4×C23—21no—
246C22×C4×C23—21no—
247C22×C4×C23—21no—
248C22×C4×C23—21no—
249C22×C4×C23—21no—
250C22×C4×C23—21no—
251C22×C4×C23—21no—
252C22×C4×C23—21no—
253C22×C4×C23—21no—
254C22×C4×C23—21no—
255C22×C4×C23—21no—
256C22×C4×C23—21no—
257C22×C4×C23—21no—
258C22×C4×C23—21no—
259C22×C4×C23—21no—
260C22×C4×C23—28no—
261C22×C4×C23—21no—
262C22×C4×C23—21no—
263C22×C4×C23—21no—
264C22×C4×C23—21no—
265C22×C4×C23—21no—
266C22×C4×C23—21no—
267C22×C4×C23—21no—
268C22×C4×C23—21no—
269C22×C4×C23—21no—
270C22×C4×C23—21no—
271C22×C4×C23—21no—
272C22×C4×C23—21no—
273C22×C4×C23—21no—
274C22×C4×C23—21no—
275C22×C4×C23—21no—
276C22×C4×C23—21no—
277C22×C4×C23—21no—
278C22×C4×C23—21no—
279C22×C4×C23—21no—
280C22×C4×C23—21no—
281C22×C4×C23—21no—
282C22×C4×C23—21no—
283C22×C4×C23—21no—
284C22×C4×C23—21no—
285C22×C4×C23—21no—
286C22×C4×C23—21no—
287C22×C4×C23—21no—
288C22×C4×C23—21no—
289C22×C4×C23—21no—
290C22×C4×C23—21no—
291C22×C4×C23—21no—
292C22×C4×C23—21no—
293C22×C4×C23—21no—
294C22×C4×C23—21no—
295C22×C4×C23—21no—
296C22×C4×C23—21no—
297C22×C4×C23—28no—
298C22×C4×C23—28no—
299C22×C4×C23—21no—
300C22×C4×C23—21no—
301C22×C4×C23—21no—
302C22×C4×C23—21no—
303C22×C4×C23—21no—
304C22×C4×C23—21no—
305C22×C4×C23—21no—
306C22×C4×C23—21no—
307C22×C4×C23—21no—
308C22×C4×C23—21no—
309C22×C4×C23—21no—
310C22×C4×C23—21no—
311C22×C4×C23—21no—
312C22×C4×C23—21no—
313C22×C4×C23—44no—
314C22×C4×C23—44no—
315C22×C4×C23—44no—
316C22×C4×C23—44no—
317C22×C4×C23—44no—
318C22×C4×C23—44no—
319C22×C4×C23—44no—
320C22×C4×C23—44no—
321C22×C4×C23—44no—
322C22×C4×C23—44no—
323C22×C4×C23—44no—
324C22×C4×C23C22×C412yes—
325C22×C4×C23C22×C412yes—
326C22×C4×C23C22×C412yes—
327C22×C4×C23C22×C412yes—
328C22×C4×C23C2×D412yes—
329C22×C4×C23C2×D412yes—
330C22×C4×C23C2×D412yes—
331C22×C4×C23C2×D412yes—
332C22×C4×C23C2×D412yes—
333C22×C4×C23C2×D412yes—
334C22×C4×C23C2×D412yes—
335C22×C4×C23C2×D412yes—
336C22×C4×C23C2×D412yes—
337C22×C4×C23C2×D412yes—
338C22×C4×C23#4112yes—
339C22×C4×C23#4112yes—
340C22×C4×C23#4112yes—
341C22×C4×C23#4112yes—
342C4⋊C4×C23—28no—
343C4⋊C4×C23—44no—
344C22⋊C4×C23—28no—
345C22⋊C4×C23—28no—
346C22⋊C4×C23—28no—
347C22⋊C4×C23—28no—
348C22⋊C4×C23—28no—
349C22⋊C4×C23—44no—
350C22⋊C4×C23—44no—
351C22⋊C4×C23—44no—
352C22⋊C4×C23—44no—
353C22⋊C4×C23—44no—
354C22⋊C4×C23—44no—
355C22⋊C4×C23—44no—
356C22⋊C4×C23—44no—
357C42×C23—28no—
358C42×C23—44no—
359C42×C23—44no—
360#14187C2311yesmaximal, characteristic, direct product factor, Sylow
361C23×C23—22no—
362C23×C23—22no—
363C23×C23—22no—
364C23×C23—22no—
365C23×C23—22no—
366C23×C23—22no—
367C23×C23—22no—
368C23×C23—22no—
369C23×C23—22no—
370C23×C23—22no—
371C23×C23—22no—
372C23×C23—22no—
373C23×C23—22no—
374C23×C23—22no—
375C23×C23—22no—
376C23×C23—22no—
377C23×C23—22no—
378C23×C23—22no—
379C23×C23—22no—
380C23×C23—22no—
381C23×C23—22no—
382C23×C23—22no—
383C23×C23—22no—
384C23×C23—22no—
385C23×C23—22no—
386C23×C23—22no—
387C23×C23—22no—
388C23×C23—22no—
389C23×C23—22no—
390C23×C23—22no—
391C23×C23—22no—
392C23×C23—22no—
393C23×C23—22no—
394C23×C23—22no—
395C23×C23—22no—
396C23×C23—22no—
397C23×C23—22no—
398C23×C23—22no—
399C23×C23—22no—
400C23×C23—22no—
401C23×C23—22no—
402C23×C23—22no—
403C23×C23—22no—
404C23×C23—41no—
405C23×C23—41no—
406C23×C23—41no—
407C23×C23—41no—
408C23×C23—41no—
409C23×C23—41no—
410C23×C23—41no—
411C23×C23—41no—
412C23×C23—41no—
413C23×C23—41no—
414C23×C23—41no—
415C23×C23—41no—
416C23×C23—41no—
417C23×C23—41no—
418C23×C23—41no—
419C23×C23—41no—
420C23×C23—41no—
421C23×C23—41no—
422C23×C23—41no—
423C23×C23—41no—
424C23×C23—41no—
425C23×C23—41no—
426C23×C23—41no—
427C23×C23—41no—
428C23×C23—41no—
429C23×C23—41no—
430C23×C23—41no—
431C23×C23—41no—
432C23×C23—41no—
433C23×C23—41no—
434C23×C23—41no—
435C23×C23—41no—
436C23×C23—41no—
437C23×C23—41no—
438C23×C23—41no—
439C23×C23—41no—
440C23×C23—41no—
441C23×C23—41no—
442C23×C23—41no—
443C23×C23—41no—
444C23×C23—41no—
445C23×C23—41no—
446C23×C23—41no—
447C23×C23—41no—
448C23×C23—41no—
449C23×C23—41no—
450C23×C23—41no—
451C23×C23—41no—
452C23×C23—41no—
453C23×C23—41no—
454C23×C23—41no—
455C23×C23—41no—
456C23×C23—41no—
457C23×C23—41no—
458C23×C23—41no—
459C23×C23—41no—
460C23×C23—41no—
461C23×C23—41no—
462C23×C23—41no—
463C23×C23—41no—
464C23×C23C4×D414yes—
465C23×C23C4×D414yes—
466C23×C23C23×C411yescharacteristic
467C23×C23C22×D411yescharacteristic
468C23×C23C22×D411yescharacteristic
469C23×C23C22×D411yescharacteristic
470C23×C23C22×D411yescharacteristic
471C23×C23C2×#4111yescharacteristic
472C23×C23C2×#4111yescharacteristic
473C23×C23C2×#4111yescharacteristic
474C23×C23C2×#4111yescharacteristic
475C23×C23C2×#4111yescharacteristic
476C23×C23C2×#4111yescharacteristic
477C23×C23H(5,𝔽2)11yescharacteristic
478C23×C23H(5,𝔽2)11yescharacteristic
479C23×C23H(5,𝔽2)11yescharacteristic
480C23×C23H(5,𝔽2)11yescharacteristic
481D4×C23—232no—
482D4×C23—416no—
483D4×C23—416no—
484C2×C4×C23—22no—
485C2×C4×C23—22no—
486C2×C4×C23—22no—
487C2×C4×C23—22no—
488C2×C4×C23—22no—
489C2×C4×C23—22no—
490C2×C4×C23—22no—
491C2×C4×C23—22no—
492C2×C4×C23—22no—
493C2×C4×C23—22no—
494C2×C4×C23—22no—
495C2×C4×C23—22no—
496C2×C4×C23—22no—
497C2×C4×C23—22no—
498C2×C4×C23—22no—
499C2×C4×C23—22no—
500C2×C4×C23—22no—
501C2×C4×C23—22no—
502C2×C4×C23—22no—
503C2×C4×C23—22no—
504C2×C4×C23—22no—
505C2×C4×C23—22no—
506C2×C4×C23—22no—
507C2×C4×C23—22no—
508C2×C4×C23—22no—
509C2×C4×C23—22no—
510C2×C4×C23—22no—
511C2×C4×C23—22no—
512C2×C4×C23—22no—
513C2×C4×C23—22no—
514C2×C4×C23—22no—
515C2×C4×C23—22no—
516C2×C4×C23—22no—
517C2×C4×C23—22no—
518C2×C4×C23—22no—
519C2×C4×C23—22no—
520C2×C4×C23—22no—
521C2×C4×C23—22no—
522C2×C4×C23—22no—
523C2×C4×C23—22no—
524C2×C4×C23—22no—
525C2×C4×C23—22no—
526C2×C4×C23—416no—
527C2×C4×C23—416no—
528C2×C4×C23—41no—
529C2×C4×C23—41no—
530C2×C4×C23—41no—
531C2×C4×C23—41no—
532C2×C4×C23—41no—
533C2×C4×C23—41no—
534C2×C4×C23—41no—
535C2×C4×C23—41no—
536C2×C4×C23—41no—
537C2×C4×C23—41no—
538C2×C4×C23—41no—
539C2×C4×C23—41no—
540C2×C4×C23—41no—
541C2×C4×C23—41no—
542C2×C4×C23—41no—
543C2×C4×C23—41no—
544C2×C4×C23—41no—
545C2×C4×C23—41no—
546C2×C4×C23—41no—
547C2×C4×C23—41no—
548C2×C4×C23—41no—
549C2×C4×C23—41no—
550C2×C4×C23—41no—
551C2×C4×C23—41no—
552C2×C4×C23—41no—
553C2×C4×C23—41no—
554C2×C4×C23—41no—
555C2×C4×C23—41no—
556C2×C4×C23—41no—
557C2×C4×C23—41no—
558C2×C4×C23—41no—
559C2×C4×C23—41no—
560C2×C4×C23—41no—
561C2×C4×C23—41no—
562C2×C4×C23—41no—
563C2×C4×C23—41no—
564C2×C4×C23—41no—
565C2×C4×C23—41no—
566C2×C4×C23C4×D414yes—
567C2×C4×C23C4×D414yescomplemented
568C2×C4×C23#12014yes—
569C2×C4×C23#12114yes—
570C22×C4×D4C2×C2311yescharacteristic, complemented
571C2×#392C2×C2311yescharacteristic
572C2×#390C2×C2311yescharacteristic, complemented
573C2×#388C2×C2311yescharacteristic, complemented
574C2×#386C2×C2311yescharacteristic, complemented
575C2×#386C2×C2311yescharacteristic, complemented
576C2×C4×C22⋊C4C2×C2311yescharacteristic, complemented
577#1439C2×C2311yescharacteristic, complemented
578#1438C2×C2311yescharacteristic, complemented
579#1438C2×C2311yescharacteristic, complemented
580#1437C2×C2311yescharacteristic, complemented
581#1437C2×C2311yescharacteristic, complemented
582#1436C2×C2311yescharacteristic, complemented
583#1436C2×C2311yescharacteristic, complemented
584C22⋊#95C2×C2311yescharacteristic, complemented
585C22×C23—24no—
586C22×C23—24no—
587C22×C23—24no—
588C22×C23—24no—
589C22×C23—24no—
590C22×C23—24no—
591C22×C23—42no—
592C22×C23—42no—
593C22×C23—42no—
594C22×C23—42no—
595C22×C23—42no—
596C22×C23—42no—
597C22×C23—42no—
598C22×C23—42no—
599C22×C23—42no—
600C22×C23—42no—
601C22×C23—42no—
602C22×C23—42no—
603C22×C23—42no—
604C22×C23—42no—
605C22×C23—42no—
606C22×C23—42no—
607C22×C23—42no—
608C22×C23—42no—
609C22×C23—42no—
610C22×C23—42no—
611C22×C23—42no—
612C22×C23—42no—
613C22×C23—42no—
614C22×C23—42no—
615C22×C23—42no—
616C22×C23—42no—
617C22×C23—42no—
618C22×C23—42no—
619C22×C23—42no—
620C22×C23—42no—
621C22×C23—42no—
622C22×C23—81no—
623C22×C23—81no—
624C22×C23—81no—
625C22×C23—81no—
626C22×C23—81no—
627C22×C23—81no—
628C22×C23—81no—
629C22×C23—81no—
630C22×C23C2×C4×D411yescharacteristic
631C22×C23C2×C4×D411yescharacteristic
632C22×C23C2×C4×D411yescharacteristic
633C22×C23C2×C4×D411yescharacteristic
634C22×C23C4×#4111yescharacteristic
635C22×C23#51811yescharacteristic
636C22×C23#51811yescharacteristic
637C22×C23C2×#12011yescharacteristic
638C22×C23C2×#12111yescharacteristic
639C22×C23#52511yescharacteristic
640C22×C23#52511yescharacteristic
641C22×C23#52511yescharacteristic
642C22×C23#52511yescharacteristic
643C22×C23#52911yescharacteristic
644C22×C23#53211yescharacteristic
645C22×C23#53411yescharacteristic
646C22×C23#53511yescharacteristic
647C22×C23#53811yescharacteristic
648C22×C23#53811yescharacteristic
649C22×C23D4211yescharacteristic
650C22×C23D4211yescharacteristic
651C22×C23#54611yescharacteristic
652C22×C23#54611yescharacteristic
653C22×C23#54611yescharacteristic
654C22×C23#54611yescharacteristic
655C22×C23#54611yescharacteristic
656C22×C23#55011yescharacteristic
657C22×C23#55011yescharacteristic
658C22×C23#55011yescharacteristic
659C22×C23#55111yescharacteristic
660C22×C23#55311yescharacteristic
661C22×C23#55311yescharacteristic
662C22×C23#55311yescharacteristic
663C22×C23#55511yescharacteristic
664C22×C23#55911yescharacteristic
665C4×C23—24no—
666C4×C23—24no—
667C4×C23—24no—
668C4×C23—24no—
669C4×C23—42no—
670C4×C23—42no—
671C4×C23—42no—
672C4×C23—42no—
673C4×C23—42no—
674C4×C23—42no—
675C4×C23—81no—
676C4×C23—81no—
677C23×D4C22×C2311yescharacteristic
678C23×D4C22×C2311yescharacteristic
679C23×D4C22×C2311yescharacteristic
680C24×C4C22×C2311yescharacteristic
681C24×C4C22×C2311yescharacteristic
682C2×C4×D4—24no—
683C2×C4×D4—24no—
684C2×C4×D4—24no—
685C22×C4⋊C4C22×C2311yescharacteristic
686C22×C4⋊C4C22×C2311yescharacteristic
687C22×C22⋊C4C22×C2311yescharacteristic
688C22×C22⋊C4C22×C2311yescharacteristic
689C22×C22⋊C4C22×C2311yescharacteristic
690C22×C22⋊C4C22×C2311yescharacteristic
691C22×C22⋊C4C22×C2311yescharacteristic
692C22×C22⋊C4C22×C2311yescharacteristic
693C22×C22⋊C4C22×C2311yescharacteristic
694C22×C22⋊C4C22×C2311yescharacteristic
695C22×C22⋊C4C22×C2311yescharacteristic
696C22×C22⋊C4C22×C2311yescharacteristic
697C22×C22⋊C4C22×C2311yescharacteristic
698C22×C22⋊C4C22×C2311yescharacteristic
699C22×C22⋊C4C22×C2311yescharacteristic
700C22×C42C22×C2311yescharacteristic
701C22×C42C22×C2311yescharacteristic
702C22×C42C22×C2311yescharacteristic
703#392C4×C2318yescomplemented
704#390—24no—
705#388—24no—
706#386—24no—
707#386—24no—
708C4×C22⋊C4—24no—
709C2×#95C22×C2311yescharacteristic
710C2×#95C22×C2311yescharacteristic
711C2×#95C22×C2311yescharacteristic
712C2×#95C22×C2311yescharacteristic
713C2×#95C22×C2311yescharacteristic
714C2×#95C22×C2311yescharacteristic
715C2×#95C22×C2311yescharacteristic
716C2×#95C22×C2311yescharacteristic
717C2×#95C22×C2311yescharacteristic
718C2×#95C22×C2311yescharacteristic
719C2×#95C22×C2311yescharacteristic
720C2×#95C22×C2311yescharacteristic
721C2×C23—44no—
722C2×C23—44no—
723C2×C23—82no—
724C2×C23C4×#12011yescharacteristic
725C2×C23C4×#12111yescharacteristic
726C2×C23#232111yescharacteristic
727C2×C23#235811yescharacteristic
728C2×C23#236311yescharacteristic
729C2×C23#236411yescharacteristic
730C2×C23#236611yescharacteristic
731C2×C23#241011yescharacteristic
732C2×C23#241411yescharacteristic
733C2×C23#243111yescharacteristic
734C2×C23#245611yescharacteristic
735C2×C23#245611yescharacteristic
736C2×C23#245911yescharacteristic
737C2×C23#246711yescharacteristic
738C2×C23#260211yescharacteristic
739C25C23×C2311yescharacteristic
740C25C23×C2311yescharacteristic
741C25C23×C2311yescharacteristic
742C22×D4—22no—
743C22×D4—22no—
744C22×D4—22no—
745C22×D4—22no—
746C22×D4—22no—
747C22×D4—22no—
748C22×D4—22no—
749C22×D4—22no—
750C22×D4—22no—
751C22×D4—22no—
752C22×D4—22no—
753C22×D4—22no—
754C22×D4—41no—
755C22×D4—41no—
756C22×D4—41no—
757C22×D4—41no—
758C22×D4—41no—
759C22×D4—41no—
760C22×D4C2×C4×C2314yes—
761C22×D4C2×C4×C2314yescomplemented
762C22×D4C2×C4×C2314yescomplemented
763C23×C4—22no—
764C23×C4—22no—
765C23×C4—22no—
766C23×C4—22no—
767C23×C4—22no—
768C23×C4—22no—
769C23×C4—22no—
770C23×C4—22no—
771C23×C4—22no—
772C23×C4—41no—
773C23×C4—41no—
774C23×C4—41no—
775C23×C4—41no—
776C23×C4D4×C2314yescomplemented
777C23×C4C23×C2311yescharacteristic
778C23×C4C23×C2311yescharacteristic
779C23×C4C23×C2311yescharacteristic
780C23×C4C23×C2311yescharacteristic
781C23×C4C23×C2311yescharacteristic
782C23×C4C23×C2311yescharacteristic
783C23×C4C23×C2311yescharacteristic
784C23×C4C23×C2311yescharacteristic
785C23×C4C23×C2311yescharacteristic
786C23×C4C23×C2311yescharacteristic
787C23×C4C23×C2311yescharacteristic
788C23×C4C23×C2311yescharacteristic
789C4×D4—232no—
790C2×C4⋊C4—22no—
791C2×C4⋊C4—22no—
792C2×C4⋊C4—22no—
793C2×C4⋊C4—22no—
794C2×C4⋊C4—41no—
795C2×C4⋊C4D4×C2314yescomplemented
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4C2×C4×C2314yescomplemented
832C2×C22⋊C4C2×C4×C2314yescomplemented
833C2×C22⋊C4C2×C4×C2314yescomplemented
834C2×C22⋊C4D4×C2314yescomplemented
835C2×C42—22no—
836C2×C42—22no—
837C2×C42—22no—
838C2×C42—22no—
839C2×C42—22no—
840C2×C42—22no—
841C2×C42—22no—
842C2×C42—41no—
843C2×C42—41no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—41no—
852#95—41no—
853#95—41no—
854#95C2×C4×C2314yescomplemented
855#95D4×C2314yescomplemented
856C23#1418711yescharacteristic, direct product factor, Sylow
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24C22×C4×C2312yes—
896C24C22×C4×C2312yes—
897C24C22×C4×C2312yes—
898C24C2×D4×C2312yes—
899C24C2×D4×C2312yes—
900C24#41×C2312yes—
901C24#41×C2312yes—
902C24C24×C2311yescharacteristic
903C2×D4—28no—
904C2×D4—28no—
905C2×D4—28no—
906C2×D4—28no—
907C2×D4—28no—
908C2×D4—28no—
909C2×D4—28no—
910C2×D4—28no—
911C2×D4—28no—
912C2×D4—28no—
913C2×D4—44no—
914C2×D4—44no—
915C2×D4—44no—
916C2×D4—44no—
917C2×D4—44no—
918C2×D4—44no—
919C2×D4—44no—
920C2×D4—44no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—44no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—28no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—28no—
978C22×C4—28no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—44no—
994C22×C4—44no—
995C22×C4—44no—
996C22×C4—44no—
997C22×C4—44no—
998C22×C4—44no—
999C22×C4—44no—
1000C22×C4—44no—
1001C22×C4—44no—
1002C22×C4—44no—
1003C22×C4—44no—
1004C22×C4C22×C4×C2312yes—
1005C22×C4C22×C4×C2312yes—
1006C22×C4C22×C4×C2312yes—
1007C22×C4C22×C4×C2312yes—
1008C22×C4C2×D4×C2312yes—
1009C22×C4C2×D4×C2312yes—
1010C22×C4C2×D4×C2312yes—
1011C22×C4C2×D4×C2312yes—
1012C22×C4C2×D4×C2312yes—
1013C22×C4C2×D4×C2312yes—
1014C22×C4C2×D4×C2312yes—
1015C22×C4C2×D4×C2312yes—
1016C22×C4C2×D4×C2312yes—
1017C22×C4C2×D4×C2312yes—
1018C22×C4#41×C2312yes—
1019C22×C4#41×C2312yes—
1020C22×C4#41×C2312yes—
1021C22×C4#41×C2312yes—
1022C4⋊C4—28no—
1023C4⋊C4—44no—
1024C22⋊C4—28no—
1025C22⋊C4—28no—
1026C22⋊C4—28no—
1027C22⋊C4—28no—
1028C22⋊C4—28no—
1029C22⋊C4—44no—
1030C22⋊C4—44no—
1031C22⋊C4—44no—
1032C22⋊C4—44no—
1033C22⋊C4—44no—
1034C22⋊C4—44no—
1035C22⋊C4—44no—
1036C22⋊C4—44no—
1037C42—28no—
1038C42—44no—
1039C42—44no—
1040C23—22no—
1041C23—22no—
1042C23—22no—
1043C23—22no—
1044C23—22no—
1045C23—22no—
1046C23—22no—
1047C23—22no—
1048C23—22no—
1049C23—22no—
1050C23—22no—
1051C23—22no—
1052C23—22no—
1053C23—22no—
1054C23—22no—
1055C23—22no—
1056C23—22no—
1057C23—22no—
1058C23—22no—
1059C23—22no—
1060C23—22no—
1061C23—22no—
1062C23—22no—
1063C23—22no—
1064C23—22no—
1065C23—22no—
1066C23—22no—
1067C23—22no—
1068C23—22no—
1069C23—22no—
1070C23—22no—
1071C23—22no—
1072C23—22no—
1073C23—22no—
1074C23—22no—
1075C23—22no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23—41no—
1096C23—41no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23—41no—
1120C23—41no—
1121C23—41no—
1122C23—41no—
1123C23—41no—
1124C23—41no—
1125C23—41no—
1126C23—41no—
1127C23—41no—
1128C23—41no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23C4×D4×C2314yes—
1144C23C4×D4×C2314yes—
1145C23C23×C4×C2311yescharacteristic
1146C23C22×D4×C2311yescharacteristic
1147C23C22×D4×C2311yescharacteristic
1148C23C22×D4×C2311yescharacteristic
1149C23C22×D4×C2311yescharacteristic
1150C23C2×#41×C2311yescharacteristic
1151C23C2×#41×C2311yescharacteristic
1152C23C2×#41×C2311yescharacteristic
1153C23C2×#41×C2311yescharacteristic
1154C23C2×#41×C2311yescharacteristic
1155C23C2×#41×C2311yescharacteristic
1156C23C23×H(5,𝔽2)11yescharacteristic
1157C23C23×H(5,𝔽2)11yescharacteristic
1158C23C23×H(5,𝔽2)11yescharacteristic
1159C23C23×H(5,𝔽2)11yescharacteristic
1160D4—232no—
1161D4—416no—
1162D4—416no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—22no—
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—22no—
1179C2×C4—22no—
1180C2×C4—22no—
1181C2×C4—22no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—22no—
1191C2×C4—22no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—22no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—416no—
1206C2×C4—416no—
1207C2×C4—41no—
1208C2×C4—41no—
1209C2×C4—41no—
1210C2×C4—41no—
1211C2×C4—41no—
1212C2×C4—41no—
1213C2×C4—41no—
1214C2×C4—41no—
1215C2×C4—41no—
1216C2×C4—41no—
1217C2×C4—41no—
1218C2×C4—41no—
1219C2×C4—41no—
1220C2×C4—41no—
1221C2×C4—41no—
1222C2×C4—41no—
1223C2×C4—41no—
1224C2×C4—41no—
1225C2×C4—41no—
1226C2×C4—41no—
1227C2×C4—41no—
1228C2×C4—41no—
1229C2×C4—41no—
1230C2×C4—41no—
1231C2×C4—41no—
1232C2×C4—41no—
1233C2×C4—41no—
1234C2×C4—41no—
1235C2×C4—41no—
1236C2×C4—41no—
1237C2×C4—41no—
1238C2×C4—41no—
1239C2×C4—41no—
1240C2×C4—41no—
1241C2×C4—41no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4C4×D4×C2314yes—
1246C2×C4C4×D4×C2314yescomplemented
1247C2×C4C23×#12014yes—
1248C2×C4C23×#12114yes—
1249C22—24no—
1250C22—24no—
1251C22—24no—
1252C22—24no—
1253C22—24no—
1254C22—24no—
1255C22—42no—
1256C22—42no—
1257C22—42no—
1258C22—42no—
1259C22—42no—
1260C22—42no—
1261C22—42no—
1262C22—42no—
1263C22—42no—
1264C22—42no—
1265C22—42no—
1266C22—42no—
1267C22—42no—
1268C22—42no—
1269C22—42no—
1270C22—42no—
1271C22—42no—
1272C22—42no—
1273C22—42no—
1274C22—42no—
1275C22—42no—
1276C22—42no—
1277C22—42no—
1278C22—42no—
1279C22—42no—
1280C22—42no—
1281C22—42no—
1282C22—42no—
1283C22—42no—
1284C22—42no—
1285C22—42no—
1286C22—81no—
1287C22—81no—
1288C22—81no—
1289C22—81no—
1290C22—81no—
1291C22—81no—
1292C22—81no—
1293C22—81no—
1294C22C2×C4×D4×C2311yescharacteristic
1295C22C2×C4×D4×C2311yescharacteristic
1296C22C2×C4×D4×C2311yescharacteristic
1297C22C2×C4×D4×C2311yescharacteristic
1298C22C4×#41×C2311yescharacteristic
1299C22C23×#51811yescharacteristic
1300C22C23×#51811yescharacteristic
1301C22C2×C23×#12011yescharacteristic
1302C22C2×C23×#12111yescharacteristic
1303C22C23×#52511yescharacteristic
1304C22C23×#52511yescharacteristic
1305C22C23×#52511yescharacteristic
1306C22C23×#52511yescharacteristic
1307C22C23×#52911yescharacteristic
1308C22C23×#53211yescharacteristic
1309C22C23×#53411yescharacteristic
1310C22C23×#53511yescharacteristic
1311C22C23×#53811yescharacteristic
1312C22C23×#53811yescharacteristic
1313C22D42×C2311yescharacteristic
1314C22D42×C2311yescharacteristic
1315C22C23×#54611yescharacteristic
1316C22C23×#54611yescharacteristic
1317C22C23×#54611yescharacteristic
1318C22C23×#54611yescharacteristic
1319C22C23×#54611yescharacteristic
1320C22C23×#55011yescharacteristic
1321C22C23×#55011yescharacteristic
1322C22C23×#55011yescharacteristic
1323C22C23×#55111yescharacteristic
1324C22C23×#55311yescharacteristic
1325C22C23×#55311yescharacteristic
1326C22C23×#55311yescharacteristic
1327C22C23×#55511yescharacteristic
1328C22C23×#55911yescharacteristic
1329C4—24no—
1330C4—24no—
1331C4—24no—
1332C4—24no—
1333C4—42no—
1334C4—42no—
1335C4—42no—
1336C4—42no—
1337C4—42no—
1338C4—42no—
1339C4—81no—
1340C4—81no—
1341C2—44no—
1342C2—44no—
1343C2—82no—
1344C2C4×C23×#12011yescharacteristic
1345C2C4×C23×#12111yescharacteristic
1346C2C23×#232111yescharacteristic
1347C2C23×#235811yescharacteristic
1348C2C23×#236311yescharacteristic
1349C2C23×#236411yescharacteristic
1350C2C23×#236611yescharacteristic
1351C2C23×#241011yescharacteristic
1352C2C23×#241411yescharacteristic
1353C2C23×#243111yescharacteristic
1354C2C23×#245611yescharacteristic
1355C2C23×#245611yescharacteristic
1356C2C23×#245911yescharacteristic
1357C2C23×#246711yescharacteristic
1358C2C23×#260211yescharacteristic
subgroupG/H
center, socleC24×C23C24
commutatorC23C23×C4×C23
Frattini, cosocleC24C24×C23
prime radicalC2×C23×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C23 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×D4×C23C2semidirect
3. C2×C23×#390C2semidirect
4. C2×C23×#388C2semidirect
5. C2×C23×#386C2semidirect
6. C2×C23×#386C2semidirect
7. C2×C4×C22⋊C4×C23C2semidirect
8. C23×#1439C2semidirect
9. C23×#1438C2semidirect
10. C23×#1438C2semidirect
11. C23×#1437C2semidirect
12. C23×#1437C2semidirect
13. C23×#1436C2semidirect
14. C23×#1436C2semidirect
15. C23×C22⋊#95C2semidirect
42. C23×#392C4semidirect
82. C22×D4×C23C2×C4semidirect
83. C22×D4×C23C2×C4semidirect
97. C23×C4×C23D4semidirect
116. C2×C4⋊C4×C23D4semidirect
152. C2×C22⋊C4×C23C2×C4semidirect
153. C2×C22⋊C4×C23C2×C4semidirect
154. C2×C22⋊C4×C23C2×C4semidirect
155. C2×C22⋊C4×C23D4semidirect
175. C23×#95C2×C4semidirect
176. C23×#95D4semidirect
360. #14187C23direct (N × H)
567. C2×C4×C23C4×D4semidirect
570. C22×C4×D4C2×C23semidirect
572. C2×#390C2×C23semidirect
573. C2×#388C2×C23semidirect
574. C2×#386C2×C23semidirect
575. C2×#386C2×C23semidirect
576. C2×C4×C22⋊C4C2×C23semidirect
577. #1439C2×C23semidirect
578. #1438C2×C23semidirect
579. #1438C2×C23semidirect
580. #1437C2×C23semidirect
581. #1437C2×C23semidirect
582. #1436C2×C23semidirect
583. #1436C2×C23semidirect
584. C22⋊#95C2×C23semidirect
703. #392C4×C23semidirect
761. C22×D4C2×C4×C23semidirect
762. C22×D4C2×C4×C23semidirect
776. C23×C4D4×C23semidirect
795. C2×C4⋊C4D4×C23semidirect
831. C2×C22⋊C4C2×C4×C23semidirect
832. C2×C22⋊C4C2×C4×C23semidirect
833. C2×C22⋊C4C2×C4×C23semidirect
834. C2×C22⋊C4D4×C23semidirect
854. #95C2×C4×C23semidirect
855. #95D4×C23semidirect
856. C23#14187direct (N × H)
1246. C2×C4C4×D4×C23semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D4×C232
C2×C23×#3922
C2×C23×#3902
C2×C23×#3882
C2×C23×#3862
C2×C4×C22⋊C4×C232
C23×#14392
C23×#14382
C23×#14372
C23×#14362
C23×C22⋊#952
#1418723