Finite Group Databasebeta

← C23×#14023 #19161649

Subgroups — C23×#14023 #19161649

Order 5888.

3166 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C23×#121C211yesmaximal, characteristic
2C22×C4×D4×C23C211yesmaximal, characteristic, complemented
3C2×C23×#386C211yesmaximal, characteristic, complemented
4C2×C23×#386C211yesmaximal, characteristic, complemented
5C2×C23×#386C211yesmaximal, characteristic, complemented
6C2×C23×#386C211yesmaximal, characteristic, complemented
7C22×C23×#95C211yesmaximal, characteristic, complemented
8C23×#1441C211yesmaximal, characteristic, complemented
9C23×#1440C211yesmaximal, characteristic, complemented
10C23×#1439C211yesmaximal, characteristic, complemented
11C23×#1438C211yesmaximal, characteristic, complemented
12C23×#1437C211yesmaximal, characteristic, complemented
13C23×#1436C211yesmaximal, characteristic, complemented
14C23×C22⋊#95C211yesmaximal, characteristic, complemented
15C23×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C23C2211yescharacteristic
17C23×D4×C23C2211yescharacteristic
18C23×D4×C23C2211yescharacteristic
19C24×C4×C23C2211yescharacteristic
20C24×C4×C23C2211yescharacteristic
21C24×C4×C23C2211yescharacteristic
22C24×C4×C23C2211yescharacteristic
23C2×C23×#121—24no—
24C2×C23×#121—24no—
25C2×C23×#121C418yescomplemented
26C2×C4×D4×C23—24no—
27C2×C4×D4×C23—24no—
28C2×C4×D4×C23—24no—
29C22×C4⋊C4×C23C2211yescharacteristic
30C22×C4⋊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×C22⋊C4×C23C2211yescharacteristic
40C22×C22⋊C4×C23C2211yescharacteristic
41C22×C22⋊C4×C23C2211yescharacteristic
42C22×C42×C23C2211yescharacteristic
43C23×#386—24no—
44C23×#386—24no—
45C23×#386—24no—
46C23×#386—24no—
47C2×C23×#95—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
60C2×C23×#95C2211yescharacteristic
61C2×C23×#95C2211yescharacteristic
62C25×C23C2311yescharacteristic
63C25×C23C2311yescharacteristic
64C25×C23C2311yescharacteristic
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—22no—
76C22×D4×C23—22no—
77C22×D4×C23—22no—
78C22×D4×C23—22no—
79C22×D4×C23—41no—
80C22×D4×C23—41no—
81C22×D4×C23C2×C414yes—
82C22×D4×C23C2×C414yescomplemented
83C22×D4×C23C2×C414yescomplemented
84C22×D4×C23D414yes—
85C22×D4×C23D414yes—
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—22no—
94C23×C4×C23—22no—
95C23×C4×C23—22no—
96C23×C4×C23—22no—
97C23×C4×C23—22no—
98C23×C4×C23—22no—
99C23×C4×C23—22no—
100C23×C4×C23—22no—
101C23×C4×C23—22no—
102C23×C4×C23—22no—
103C23×C4×C23—22no—
104C23×C4×C23—41no—
105C23×C4×C23—41no—
106C23×C4×C23—41no—
107C23×C4×C23—41no—
108C23×C4×C23—41no—
109C23×C4×C23—41no—
110C23×C4×C23—41no—
111C23×C4×C23—41no—
112C23×C4×C23C2×C414yescomplemented
113C23×C4×C23D414yescomplemented
114C23×C4×C23C2311yescharacteristic
115C23×C4×C23C2311yescharacteristic
116C23×C4×C23C2311yescharacteristic
117C23×C4×C23C2311yescharacteristic
118C23×C4×C23C2311yescharacteristic
119C23×C4×C23C2311yescharacteristic
120C23×C4×C23C2311yescharacteristic
121C23×C4×C23C2311yescharacteristic
122C23×C4×C23C2311yescharacteristic
123C23×C4×C23C2311yescharacteristic
124C23×C4×C23C2311yescharacteristic
125C23×C4×C23C2311yescharacteristic
126C23×#121—232no—
127C4×D4×C23—232no—
128C2×C4⋊C4×C23—22no—
129C2×C4⋊C4×C23—22no—
130C2×C4⋊C4×C23—22no—
131C2×C4⋊C4×C23—22no—
132C2×C4⋊C4×C23—22no—
133C2×C4⋊C4×C23C2×C414yescomplemented
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—22no—
145C2×C22⋊C4×C23—22no—
146C2×C22⋊C4×C23—22no—
147C2×C22⋊C4×C23—22no—
148C2×C22⋊C4×C23—22no—
149C2×C22⋊C4×C23—22no—
150C2×C22⋊C4×C23—22no—
151C2×C22⋊C4×C23—22no—
152C2×C22⋊C4×C23—22no—
153C2×C22⋊C4×C23—22no—
154C2×C22⋊C4×C23—22no—
155C2×C22⋊C4×C23—22no—
156C2×C22⋊C4×C23—22no—
157C2×C22⋊C4×C23—22no—
158C2×C22⋊C4×C23—41no—
159C2×C22⋊C4×C23—41no—
160C2×C22⋊C4×C23—41no—
161C2×C22⋊C4×C23—41no—
162C2×C22⋊C4×C23—41no—
163C2×C22⋊C4×C23—41no—
164C2×C22⋊C4×C23C2×C414yescomplemented
165C2×C22⋊C4×C23C2×C414yescomplemented
166C2×C22⋊C4×C23D414yescomplemented
167C2×C42×C23—22no—
168C2×C42×C23—22no—
169C2×C42×C23—22no—
170C23×#95—22no—
171C23×#95—22no—
172C23×#95—22no—
173C23×#95—22no—
174C23×#95—22no—
175C23×#95—22no—
176C23×#95—22no—
177C23×#95—22no—
178C23×#95—22no—
179C23×#95—22no—
180C23×#95—22no—
181C23×#95—41no—
182C23×#95—41no—
183C23×#95D414yescomplemented
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×C23—21no—
216C24×C23—21no—
217C24×C23—21no—
218C24×C23C22×C412yes—
219C24×C23C22×C412yes—
220C24×C23C22×C412yes—
221C24×C23C2×D412yes—
222C24×C23C2×D412yes—
223C24×C23C2×D412yes—
224C24×C23C2×D412yes—
225C24×C23C2×D412yes—
226C24×C23C2×D412yes—
227C24×C23#4112yes—
228C24×C23#4112yes—
229C24×C23C2411yescharacteristic
230C2×D4×C23—28no—
231C2×D4×C23—28no—
232C2×D4×C23—28no—
233C2×D4×C23—28no—
234C2×D4×C23—28no—
235C2×D4×C23—28no—
236C2×D4×C23—28no—
237C2×D4×C23—28no—
238C2×D4×C23—28no—
239C2×D4×C23—28no—
240C2×D4×C23—28no—
241C2×D4×C23—44no—
242C2×D4×C23—44no—
243C2×D4×C23—44no—
244C2×D4×C23—44no—
245C2×D4×C23—44no—
246C2×D4×C23—44no—
247C2×D4×C23—44no—
248C2×D4×C23—44no—
249C2×D4×C23—44no—
250C2×D4×C23C22⋊C4116yescomplemented
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—21no—
261C22×C4×C23—21no—
262C22×C4×C23—21no—
263C22×C4×C23—28no—
264C22×C4×C23—28no—
265C22×C4×C23—28no—
266C22×C4×C23—28no—
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—21no—
298C22×C4×C23—21no—
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—28no—
310C22×C4×C23—28no—
311C22×C4×C23—21no—
312C22×C4×C23—21no—
313C22×C4×C23—21no—
314C22×C4×C23—21no—
315C22×C4×C23—21no—
316C22×C4×C23—21no—
317C22×C4×C23—21no—
318C22×C4×C23—21no—
319C22×C4×C23—21no—
320C22×C4×C23—21no—
321C22×C4×C23—21no—
322C22×C4×C23—21no—
323C22×C4×C23—21no—
324C22×C4×C23—21no—
325C22×C4×C23—44no—
326C22×C4×C23—44no—
327C22×C4×C23—44no—
328C22×C4×C23—44no—
329C22×C4×C23—44no—
330C22×C4×C23—44no—
331C22×C4×C23—44no—
332C22×C4×C23—44no—
333C22×C4×C23—44no—
334C22×C4×C23—44no—
335C22×C4×C23—44no—
336C22×C4×C23—44no—
337C22×C4×C23—44no—
338C22×C4×C23—44no—
339C22×C4×C23—44no—
340C22×C4×C23—44no—
341C22×C4×C23—44no—
342C22×C4×C23—44no—
343C22×C4×C23—44no—
344C22×C4×C23—44no—
345C22×C4×C23—44no—
346C22×C4×C23—44no—
347C22×C4×C23C22×C412yes—
348C22×C4×C23C22×C412yes—
349C22×C4×C23C22×C412yes—
350C22×C4×C23C22×C412yes—
351C22×C4×C23C2×D412yes—
352C22×C4×C23C2×D412yes—
353C22×C4×C23C2×D412yes—
354C22×C4×C23C2×D412yes—
355C22×C4×C23C2×D412yes—
356C22×C4×C23C2×D412yes—
357C22×C4×C23C2×D412yes—
358C22×C4×C23C2×D412yes—
359C22×C4×C23C2×D412yes—
360C22×C4×C23#4112yes—
361C22×C4×C23#4112yes—
362C22×C4×C23#4112yes—
363C4⋊C4×C23—28no—
364C4⋊C4×C23—28no—
365C22⋊C4×C23—28no—
366C22⋊C4×C23—28no—
367C22⋊C4×C23—28no—
368C22⋊C4×C23—28no—
369C22⋊C4×C23—44no—
370C22⋊C4×C23—44no—
371C22⋊C4×C23—44no—
372C22⋊C4×C23—44no—
373C22⋊C4×C23—44no—
374C22⋊C4×C23—44no—
375C22⋊C4×C23—44no—
376C42×C23—28no—
377#14023C2311yesmaximal, characteristic, direct product factor, Sylow
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—22no—
405C23×C23—22no—
406C23×C23—22no—
407C23×C23—22no—
408C23×C23—22no—
409C23×C23—22no—
410C23×C23—22no—
411C23×C23—22no—
412C23×C23—22no—
413C23×C23—22no—
414C23×C23—22no—
415C23×C23—22no—
416C23×C23—22no—
417C23×C23—22no—
418C23×C23—22no—
419C23×C23—22no—
420C23×C23—22no—
421C23×C23—22no—
422C23×C23—22no—
423C23×C23—22no—
424C23×C23—22no—
425C23×C23—22no—
426C23×C23—22no—
427C23×C23—22no—
428C23×C23—22no—
429C23×C23—22no—
430C23×C23—22no—
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×C23—41no—
465C23×C23—41no—
466C23×C23—41no—
467C23×C23—41no—
468C23×C23—41no—
469C23×C23—41no—
470C23×C23—41no—
471C23×C23—41no—
472C23×C23—41no—
473C23×C23—41no—
474C23×C23—41no—
475C23×C23C2×C22⋊C414yes—
476C23×C23C2×C22⋊C414yes—
477C23×C23C4×D414yes—
478C23×C23C4×D414yes—
479C23×C23#12014yes—
480C23×C23#12114yes—
481C23×C23#12114yes—
482C23×C23#12314yes—
483C23×C23C23×C411yescharacteristic
484C23×C23C22×D411yescharacteristic
485C23×C23C22×D411yescharacteristic
486C23×C23C22×D411yescharacteristic
487C23×C23C22×D411yescharacteristic
488C23×C23C22×D411yescharacteristic
489C23×C23C2×#4111yescharacteristic
490C23×C23C2×#4111yescharacteristic
491C23×C23C2×#4111yescharacteristic
492C23×C23C2×#4111yescharacteristic
493C23×C23C2×#4111yescharacteristic
494C23×C23H(5,𝔽2)11yescharacteristic
495C23×C23H(5,𝔽2)11yescharacteristic
496C23×C23H(5,𝔽2)11yescharacteristic
497C23×C232−1+411yescharacteristic
498D4×C23—232no—
499D4×C23—416no—
500D4×C23—416no—
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—22no—
527C2×C4×C23—22no—
528C2×C4×C23—22no—
529C2×C4×C23—22no—
530C2×C4×C23—22no—
531C2×C4×C23—22no—
532C2×C4×C23—22no—
533C2×C4×C23—22no—
534C2×C4×C23—22no—
535C2×C4×C23—22no—
536C2×C4×C23—22no—
537C2×C4×C23—22no—
538C2×C4×C23—22no—
539C2×C4×C23—22no—
540C2×C4×C23—416no—
541C2×C4×C23—416no—
542C2×C4×C23—416no—
543C2×C4×C23—416no—
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×C23—41no—
567C2×C4×C23—41no—
568C2×C4×C23—41no—
569C2×C4×C23—41no—
570C2×C4×C23—41no—
571C2×C4×C23—41no—
572C2×C4×C23—41no—
573C2×C4×C23—41no—
574C2×C4×C23—41no—
575C2×C4×C23—41no—
576C2×C4×C23—41no—
577C2×C4×C23—41no—
578C2×C4×C23—41no—
579C2×C4×C23—41no—
580C2×C4×C23—41no—
581C2×C4×C23—41no—
582C2×C4×C23—41no—
583C2×C4×C23—41no—
584C2×C4×C23—41no—
585C2×C4×C23—41no—
586C2×C4×C23C2×C22⋊C414yes—
587C2×C4×C23C4×D414yescomplemented
588C2×C4×C23#12114yescomplemented
589C22×#121C2×C2311yescharacteristic
590C22×C4×D4C2×C2311yescharacteristic, complemented
591C2×#386C2×C2311yescharacteristic, complemented
592C2×#386C2×C2311yescharacteristic, complemented
593C2×#386C2×C2311yescharacteristic, complemented
594C2×#386C2×C2311yescharacteristic, complemented
595C22×#95C2×C2311yescharacteristic, complemented
596#1441C2×C2311yescharacteristic, complemented
597#1440C2×C2311yescharacteristic, complemented
598#1439C2×C2311yescharacteristic, complemented
599#1438C2×C2311yescharacteristic, complemented
600#1437C2×C2311yescharacteristic, complemented
601#1436C2×C2311yescharacteristic, complemented
602C22⋊#95C2×C2311yescharacteristic, complemented
603C22⋊#95C2×C2311yescharacteristic, complemented
604C22×C23—24no—
605C22×C23—24no—
606C22×C23—24no—
607C22×C23—24no—
608C22×C23—24no—
609C22×C23—24no—
610C22×C23—24no—
611C22×C23—24no—
612C22×C23—24no—
613C22×C23—24no—
614C22×C23—24no—
615C22×C23—24no—
616C22×C23—24no—
617C22×C23—24no—
618C22×C23—24no—
619C22×C23—24no—
620C22×C23—24no—
621C22×C23—42no—
622C22×C23—42no—
623C22×C23—42no—
624C22×C23—42no—
625C22×C23—42no—
626C22×C23—42no—
627C22×C23—42no—
628C22×C23—42no—
629C22×C23—42no—
630C22×C23—42no—
631C22×C23—42no—
632C22×C23—42no—
633C22×C23—42no—
634C22×C23—42no—
635C22×C23—42no—
636C22×C23—42no—
637C22×C23—42no—
638C22×C23—42no—
639C22×C23—42no—
640C22×C23—81no—
641C22×C23—81no—
642C22×C23—81no—
643C22×C23—81no—
644C22×C23—81no—
645C22×C23—81no—
646C22×C23—81no—
647C22×C23—81no—
648C22×C23#38618yescomplemented
649C22×C23C22×C22⋊C411yescharacteristic
650C22×C23C2×C4×D411yescharacteristic
651C22×C23C2×C4×D411yescharacteristic
652C22×C23C2×C4×D411yescharacteristic
653C22×C23C4×#4111yescharacteristic
654C22×C23#51811yescharacteristic
655C22×C23#52011yescharacteristic
656C22×C23C2×#12011yescharacteristic
657C22×C23C2×#12111yescharacteristic
658C22×C23C2×#12111yescharacteristic
659C22×C23C2×#12111yescharacteristic
660C22×C23C2×#12311yescharacteristic
661C22×C23#52511yescharacteristic
662C22×C23#52911yescharacteristic
663C22×C23#53211yescharacteristic
664C22×C23#53411yescharacteristic
665C22×C23#53711yescharacteristic
666C22×C23#53811yescharacteristic
667C22×C23#53911yescharacteristic
668C22×C23D4211yescharacteristic
669C22×C23D4211yescharacteristic
670C22×C23D4211yescharacteristic
671C22×C23#54611yescharacteristic
672C22×C23#54611yescharacteristic
673C22×C23#54611yescharacteristic
674C22×C23#54611yescharacteristic
675C22×C23#54611yescharacteristic
676C22×C23#54611yescharacteristic
677C22×C23#54711yescharacteristic
678C22×C23#54711yescharacteristic
679C22×C23#54711yescharacteristic
680C22×C23#54811yescharacteristic
681C22×C23#55311yescharacteristic
682C22×C23#55311yescharacteristic
683C22×C23#55311yescharacteristic
684C4×C23—24no—
685C4×C23—24no—
686C4×C23—24no—
687C4×C23—42no—
688C4×C23—42no—
689C4×C23—42no—
690C4×C23—42no—
691C4×C23—42no—
692C4×C23—42no—
693C4×C23—42no—
694C4×C23—81no—
695C4×C23—81no—
696C23×D4C22×C2311yescharacteristic
697C23×D4C22×C2311yescharacteristic
698C23×D4C22×C2311yescharacteristic
699C24×C4C22×C2311yescharacteristic
700C24×C4C22×C2311yescharacteristic
701C24×C4C22×C2311yescharacteristic
702C24×C4C22×C2311yescharacteristic
703C2×#121—24no—
704C2×#121—24no—
705C2×#121C4×C2318yescomplemented
706C2×C4×D4—24no—
707C2×C4×D4—24no—
708C2×C4×D4—24no—
709C22×C4⋊C4C22×C2311yescharacteristic
710C22×C4⋊C4C22×C2311yescharacteristic
711C22×C22⋊C4C22×C2311yescharacteristic
712C22×C22⋊C4C22×C2311yescharacteristic
713C22×C22⋊C4C22×C2311yescharacteristic
714C22×C22⋊C4C22×C2311yescharacteristic
715C22×C22⋊C4C22×C2311yescharacteristic
716C22×C22⋊C4C22×C2311yescharacteristic
717C22×C22⋊C4C22×C2311yescharacteristic
718C22×C22⋊C4C22×C2311yescharacteristic
719C22×C22⋊C4C22×C2311yescharacteristic
720C22×C22⋊C4C22×C2311yescharacteristic
721C22×C22⋊C4C22×C2311yescharacteristic
722C22×C42C22×C2311yescharacteristic
723#386—24no—
724#386—24no—
725#386—24no—
726#386—24no—
727C2×#95—24no—
728C2×#95C22×C2311yescharacteristic
729C2×#95C22×C2311yescharacteristic
730C2×#95C22×C2311yescharacteristic
731C2×#95C22×C2311yescharacteristic
732C2×#95C22×C2311yescharacteristic
733C2×#95C22×C2311yescharacteristic
734C2×#95C22×C2311yescharacteristic
735C2×#95C22×C2311yescharacteristic
736C2×#95C22×C2311yescharacteristic
737C2×#95C22×C2311yescharacteristic
738C2×#95C22×C2311yescharacteristic
739C2×#95C22×C2311yescharacteristic
740C2×#95C22×C2311yescharacteristic
741C2×#95C22×C2311yescharacteristic
742C2×C23—28no—
743C2×C23—44no—
744C2×C23—82no—
745C2×C23C2×#38611yescharacteristic
746C2×C23C4×#12111yescharacteristic
747C2×C23#232511yescharacteristic
748C2×C23D4×C22⋊C411yescharacteristic
749C2×C23#233911yescharacteristic
750C2×C23#236111yescharacteristic
751C2×C23#236411yescharacteristic
752C2×C23#241011yescharacteristic
753C2×C23#241611yescharacteristic
754C2×C23#242411yescharacteristic
755C2×C23#242511yescharacteristic
756C2×C23#243011yescharacteristic
757C2×C23#244311yescharacteristic
758C2×C23#244411yescharacteristic
759C2×C23#254311yescharacteristic
760C25C23×C2311yescharacteristic
761C25C23×C2311yescharacteristic
762C25C23×C2311yescharacteristic
763C22×D4—22no—
764C22×D4—22no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—22no—
768C22×D4—22no—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—22no—
777C22×D4—41no—
778C22×D4—41no—
779C22×D4C2×C4×C2314yes—
780C22×D4C2×C4×C2314yescomplemented
781C22×D4C2×C4×C2314yescomplemented
782C22×D4D4×C2314yes—
783C22×D4D4×C2314yes—
784C23×C4—22no—
785C23×C4—22no—
786C23×C4—22no—
787C23×C4—22no—
788C23×C4—22no—
789C23×C4—22no—
790C23×C4—22no—
791C23×C4—22no—
792C23×C4—22no—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—22no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4—22no—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—41no—
803C23×C4—41no—
804C23×C4—41no—
805C23×C4—41no—
806C23×C4—41no—
807C23×C4—41no—
808C23×C4—41no—
809C23×C4—41no—
810C23×C4C2×C4×C2314yescomplemented
811C23×C4D4×C2314yescomplemented
812C23×C4C23×C2311yescharacteristic
813C23×C4C23×C2311yescharacteristic
814C23×C4C23×C2311yescharacteristic
815C23×C4C23×C2311yescharacteristic
816C23×C4C23×C2311yescharacteristic
817C23×C4C23×C2311yescharacteristic
818C23×C4C23×C2311yescharacteristic
819C23×C4C23×C2311yescharacteristic
820C23×C4C23×C2311yescharacteristic
821C23×C4C23×C2311yescharacteristic
822C23×C4C23×C2311yescharacteristic
823C23×C4C23×C2311yescharacteristic
824#121—232no—
825C4×D4—232no—
826C2×C4⋊C4—22no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—22no—
831C2×C4⋊C4C2×C4×C2314yescomplemented
832C2×C22⋊C4—22no—
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4C2×C4×C2314yescomplemented
863C2×C22⋊C4C2×C4×C2314yescomplemented
864C2×C22⋊C4D4×C2314yescomplemented
865C2×C42—22no—
866C2×C42—22no—
867C2×C42—22no—
868#95—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—41no—
880#95—41no—
881#95D4×C2314yescomplemented
882C23#1402311yescharacteristic, direct product factor, Sylow
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24C22×C4×C2312yes—
918C24C22×C4×C2312yes—
919C24C22×C4×C2312yes—
920C24C2×D4×C2312yes—
921C24C2×D4×C2312yes—
922C24C2×D4×C2312yes—
923C24C2×D4×C2312yes—
924C24C2×D4×C2312yes—
925C24C2×D4×C2312yes—
926C24#41×C2312yes—
927C24#41×C2312yes—
928C24C24×C2311yescharacteristic
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—28no—
936C2×D4—28no—
937C2×D4—28no—
938C2×D4—28no—
939C2×D4—28no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4C22⋊C4×C23116yescomplemented
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—28no—
963C22×C4—28no—
964C22×C4—28no—
965C22×C4—28no—
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—21no—
978C22×C4—21no—
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—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—28no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4C22×C4×C2312yes—
1047C22×C4C22×C4×C2312yes—
1048C22×C4C22×C4×C2312yes—
1049C22×C4C22×C4×C2312yes—
1050C22×C4C2×D4×C2312yes—
1051C22×C4C2×D4×C2312yes—
1052C22×C4C2×D4×C2312yes—
1053C22×C4C2×D4×C2312yes—
1054C22×C4C2×D4×C2312yes—
1055C22×C4C2×D4×C2312yes—
1056C22×C4C2×D4×C2312yes—
1057C22×C4C2×D4×C2312yes—
1058C22×C4C2×D4×C2312yes—
1059C22×C4#41×C2312yes—
1060C22×C4#41×C2312yes—
1061C22×C4#41×C2312yes—
1062C4⋊C4—28no—
1063C4⋊C4—28no—
1064C22⋊C4—28no—
1065C22⋊C4—28no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—44no—
1069C22⋊C4—44no—
1070C22⋊C4—44no—
1071C22⋊C4—44no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C42—28no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
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—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23C2×C22⋊C4×C2314yes—
1174C23C2×C22⋊C4×C2314yes—
1175C23C4×D4×C2314yes—
1176C23C4×D4×C2314yes—
1177C23C23×#12014yes—
1178C23C23×#12114yes—
1179C23C23×#12114yes—
1180C23C23×#12314yes—
1181C23C23×C4×C2311yescharacteristic
1182C23C22×D4×C2311yescharacteristic
1183C23C22×D4×C2311yescharacteristic
1184C23C22×D4×C2311yescharacteristic
1185C23C22×D4×C2311yescharacteristic
1186C23C22×D4×C2311yescharacteristic
1187C23C2×#41×C2311yescharacteristic
1188C23C2×#41×C2311yescharacteristic
1189C23C2×#41×C2311yescharacteristic
1190C23C2×#41×C2311yescharacteristic
1191C23C2×#41×C2311yescharacteristic
1192C23C23×H(5,𝔽2)11yescharacteristic
1193C23C23×H(5,𝔽2)11yescharacteristic
1194C23C23×H(5,𝔽2)11yescharacteristic
1195C23C23×2−1+411yescharacteristic
1196D4—232no—
1197D4—416no—
1198D4—416no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—416no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4C2×C22⋊C4×C2314yes—
1285C2×C4C4×D4×C2314yescomplemented
1286C2×C4C23×#12114yescomplemented
1287C22—24no—
1288C22—24no—
1289C22—24no—
1290C22—24no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—42no—
1305C22—42no—
1306C22—42no—
1307C22—42no—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—81no—
1324C22—81no—
1325C22—81no—
1326C22—81no—
1327C22—81no—
1328C22—81no—
1329C22—81no—
1330C22—81no—
1331C22C23×#38618yescomplemented
1332C22C22×C22⋊C4×C2311yescharacteristic
1333C22C2×C4×D4×C2311yescharacteristic
1334C22C2×C4×D4×C2311yescharacteristic
1335C22C2×C4×D4×C2311yescharacteristic
1336C22C4×#41×C2311yescharacteristic
1337C22C23×#51811yescharacteristic
1338C22C23×#52011yescharacteristic
1339C22C2×C23×#12011yescharacteristic
1340C22C2×C23×#12111yescharacteristic
1341C22C2×C23×#12111yescharacteristic
1342C22C2×C23×#12111yescharacteristic
1343C22C2×C23×#12311yescharacteristic
1344C22C23×#52511yescharacteristic
1345C22C23×#52911yescharacteristic
1346C22C23×#53211yescharacteristic
1347C22C23×#53411yescharacteristic
1348C22C23×#53711yescharacteristic
1349C22C23×#53811yescharacteristic
1350C22C23×#53911yescharacteristic
1351C22D42×C2311yescharacteristic
1352C22D42×C2311yescharacteristic
1353C22D42×C2311yescharacteristic
1354C22C23×#54611yescharacteristic
1355C22C23×#54611yescharacteristic
1356C22C23×#54611yescharacteristic
1357C22C23×#54611yescharacteristic
1358C22C23×#54611yescharacteristic
1359C22C23×#54611yescharacteristic
1360C22C23×#54711yescharacteristic
1361C22C23×#54711yescharacteristic
1362C22C23×#54711yescharacteristic
1363C22C23×#54811yescharacteristic
1364C22C23×#55311yescharacteristic
1365C22C23×#55311yescharacteristic
1366C22C23×#55311yescharacteristic
1367C4—24no—
1368C4—24no—
1369C4—24no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—81no—
1378C4—81no—
1379C2—28no—
1380C2—44no—
1381C2—82no—
1382C2C2×C23×#38611yescharacteristic
1383C2C4×C23×#12111yescharacteristic
1384C2C23×#232511yescharacteristic
1385C2D4×C22⋊C4×C2311yescharacteristic
1386C2C23×#233911yescharacteristic
1387C2C23×#236111yescharacteristic
1388C2C23×#236411yescharacteristic
1389C2C23×#241011yescharacteristic
1390C2C23×#241611yescharacteristic
1391C2C23×#242411yescharacteristic
1392C2C23×#242511yescharacteristic
1393C2C23×#243011yescharacteristic
1394C2C23×#244311yescharacteristic
1395C2C23×#244411yescharacteristic
1396C2C23×#254311yescharacteristic
subgroupG/H
center, socleC24×C23C24
commutatorC23C23×C4×C23
Frattini, cosocleC24C24×C23
prime radicalC22×C23×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C23 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×D4×C23C2semidirect
3. C2×C23×#386C2semidirect
4. C2×C23×#386C2semidirect
5. C2×C23×#386C2semidirect
6. C2×C23×#386C2semidirect
7. C22×C23×#95C2semidirect
8. C23×#1441C2semidirect
9. C23×#1440C2semidirect
10. C23×#1439C2semidirect
11. C23×#1438C2semidirect
12. C23×#1437C2semidirect
13. C23×#1436C2semidirect
14. C23×C22⋊#95C2semidirect
15. C23×C22⋊#95C2semidirect
25. C2×C23×#121C4semidirect
82. C22×D4×C23C2×C4semidirect
83. C22×D4×C23C2×C4semidirect
112. C23×C4×C23C2×C4semidirect
113. C23×C4×C23D4semidirect
133. C2×C4⋊C4×C23C2×C4semidirect
164. C2×C22⋊C4×C23C2×C4semidirect
165. C2×C22⋊C4×C23C2×C4semidirect
166. C2×C22⋊C4×C23D4semidirect
183. C23×#95D4semidirect
250. C2×D4×C23C22⋊C4semidirect
377. #14023C23direct (N × H)
587. C2×C4×C23C4×D4semidirect
588. C2×C4×C23#121semidirect
590. C22×C4×D4C2×C23semidirect
591. C2×#386C2×C23semidirect
592. C2×#386C2×C23semidirect
593. C2×#386C2×C23semidirect
594. C2×#386C2×C23semidirect
595. C22×#95C2×C23semidirect
596. #1441C2×C23semidirect
597. #1440C2×C23semidirect
598. #1439C2×C23semidirect
599. #1438C2×C23semidirect
600. #1437C2×C23semidirect
601. #1436C2×C23semidirect
602. C22⋊#95C2×C23semidirect
603. C22⋊#95C2×C23semidirect
648. C22×C23#386semidirect
705. C2×#121C4×C23semidirect
780. C22×D4C2×C4×C23semidirect
781. C22×D4C2×C4×C23semidirect
810. C23×C4C2×C4×C23semidirect
811. C23×C4D4×C23semidirect
831. C2×C4⋊C4C2×C4×C23semidirect
862. C2×C22⋊C4C2×C4×C23semidirect
863. C2×C22⋊C4C2×C4×C23semidirect
864. C2×C22⋊C4D4×C23semidirect
881. #95D4×C23semidirect
882. C23#14023direct (N × H)
949. C2×D4C22⋊C4×C23semidirect
1285. C2×C4C4×D4×C23semidirect
1286. C2×C4C23×#121semidirect
1331. C22C23×#386semidirect

Maximal subgroups

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

subgroupindex
C22×C23×#1212
C22×C4×D4×C232
C2×C23×#3862
C22×C23×#952
C23×#14412
C23×#14402
C23×#14392
C23×#14382
C23×#14372
C23×#14362
C23×C22⋊#952
#1402323