Finite Group Databasebeta

← C43×#34293 #24954310

Subgroups — C43×#34293 #24954310

Order 11008.

2984 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#548C211yesmaximal, characteristic
2C2×C43×#519C211yesmaximal, characteristic, complemented
3C2×C4×#41×C43C211yesmaximal, characteristic, complemented
4C43×#2367C213yesmaximal, complemented
5C43×#2363C213yesmaximal, complemented
6C43×#2362C213yesmaximal, complemented
7C43×#2354C213yesmaximal, complemented
8Q8×C4⋊C4×C43C211yesmaximal, characteristic, complemented
9C43×#2341C211yesmaximal, characteristic, complemented
10Q8×C22⋊C4×C43C211yesmaximal, characteristic, complemented
11C43×#2326C213yesmaximal, complemented
12C43×#2324C213yesmaximal, complemented
13C4×C22⋊Q8×C43C213yesmaximal, complemented
14C43×#2290C213yesmaximal, complemented
15C43×#2276C211yesmaximal, characteristic, complemented
16C22×#41×C43C2211yescharacteristic
17C23×Q8×C43C2211yescharacteristic
18C43×#548C4116yescomplemented
19C2×#124×C43C2213yes—
20C2×C22⋊Q8×C43C2213yes—
21C2×#121×C43C2213yes—
22C43×#519—28no—
23C4×#41×C43—28no—
24C2×C4×Q8×C43C2213yes—
25C2×C4×Q8×C43C2211yescharacteristic
26C2×C4×Q8×C43C2211yescharacteristic
27C2×C4×Q8×C43C2211yescharacteristic
28C2×C4×Q8×C43C2213yes—
29C2×C4×Q8×C43C2211yescharacteristic
30C2×C4×Q8×C43C2211yescharacteristic
31C2×C4×D4×C43C2213yes—
32C2×C4×D4×C43C2213yes—
33C2×C4×D4×C43C2213yes—
34C2×#117×C43C2213yes—
35C2×#117×C43C2213yes—
36C2×#117×C43C2213yes—
37C22×C42×C43C2213yes—
38C43×#391C2213yes—
39C43×#391C2213yes—
40C43×#390C2213yes—
41C43×#390C2216yes—
42C43×#390C2213yes—
43C43×#389C2213yes—
44C43×#389C2213yes—
45C43×#388C2216yes—
46C43×#388C2216yes—
47C43×#388C2216yes—
48C43×#388C2213yes—
49C43×#388C2211yescharacteristic
50C43×#387C2213yes—
51C43×#387C2213yes—
52C43×#386C2213yes—
53C43×#386C2213yes—
54C43×#385C2216yes—
55C43×#385C2213yes—
56C43×#385C2213yes—
57C43×#384C2213yes—
58C43×#380C2213yes—
59C43×#380C2213yes—
60C4×C4⋊C4×C43C2213yes—
61C4×C4⋊C4×C43C2213yes—
62C4×C4⋊C4×C43C2216yes—
63C4×C4⋊C4×C43C2213yes—
64C4×C4⋊C4×C43C2213yes—
65C4×C22⋊C4×C43C2213yes—
66C4×C22⋊C4×C43C2213yes—
67C4×C22⋊C4×C43C2216yes—
68C43×#376C2213yes—
69C2×#41×C43—24no—
70C2×#41×C43—24no—
71C2×#41×C43C2×C418yes—
72C22×Q8×C43—24no—
73C22×Q8×C43—24no—
74C22×Q8×C43C2×C418yescomplemented
75C22×Q8×C43C2313yes—
76C22×Q8×C43C2311yescharacteristic
77C22×D4×C43C2313yes—
78C22×D4×C43C2313yes—
79C23×C4×C43C2313yes—
80C23×C4×C43C2313yes—
81C23×C4×C43C2313yes—
82C23×C4×C43C2313yes—
83#124×C43C2×C4124yescomplemented
84C22⋊Q8×C43C2×C4124yescomplemented
85#121×C43C2×C4124yescomplemented
86C4×Q8×C43—24no—
87C4×Q8×C43—24no—
88C4×Q8×C43—24no—
89C4×Q8×C43—212no—
90C4×Q8×C43—212no—
91C4×Q8×C43C2×C418yescomplemented
92C4×Q8×C43D418yescomplemented
93C4×D4×C43—212no—
94C4×D4×C43—212no—
95C4×D4×C43C2×C4124yescomplemented
96#117×C43—212no—
97#117×C43—212no—
98#117×C43—212no—
99C2×C4⋊C4×C43C2313yes—
100C2×C4⋊C4×C43C2313yes—
101C2×C4⋊C4×C43C2313yes—
102C2×C4⋊C4×C43C2313yes—
103C2×C4⋊C4×C43C2313yes—
104C2×C4⋊C4×C43C2311yescharacteristic
105C2×C4⋊C4×C43C2313yes—
106C2×C4⋊C4×C43C2316yes—
107C2×C4⋊C4×C43C2313yes—
108C2×C4⋊C4×C43C2313yes—
109C2×C4⋊C4×C43C2313yes—
110C2×C22⋊C4×C43C2311yescharacteristic
111C2×C22⋊C4×C43C2313yes—
112C2×C22⋊C4×C43C2316yes—
113C2×C22⋊C4×C43C2311yescharacteristic
114C2×C22⋊C4×C43C2313yes—
115C2×C22⋊C4×C43C2316yes—
116C2×C22⋊C4×C43C2313yes—
117C2×C22⋊C4×C43C2313yes—
118C2×C22⋊C4×C43C2311yescharacteristic
119C2×C22⋊C4×C43C2313yes—
120C2×C22⋊C4×C43C2316yes—
121C2×C42×C43—212no—
122C2×C42×C43C2311yescharacteristic
123C2×C42×C43C2313yes—
124C2×C42×C43C2313yes—
125C2×C42×C43C2316yes—
126C2×C42×C43C2313yes—
127C2×C42×C43C2313yes—
128C2×C42×C43C2316yes—
129C2×C42×C43C2313yes—
130C2×C42×C43C2313yes—
131#95×C43C2311yescharacteristic
132#95×C43C2313yes—
133#95×C43C2313yes—
134#95×C43C2313yes—
135#95×C43C2313yes—
136#95×C43C2311yescharacteristic
137#95×C43C2313yes—
138#95×C43C2313yes—
139#95×C43C2313yes—
140#95×C43C2316yes—
141#95×C43C2313yes—
142C24×C43C2411yescharacteristic
143C24×C43C2413yes—
144#41×C43—232no—
145C2×Q8×C43—232no—
146C2×Q8×C43—26no—
147C2×Q8×C43—26no—
148C2×Q8×C43C22×C4112yes—
149C2×Q8×C43C22×C414yes—
150C2×Q8×C43C2×D414yes—
151C2×Q8×C43#4114yes—
152C2×D4×C43—26no—
153C2×D4×C43—26no—
154C2×D4×C43—43no—
155C2×D4×C43—43no—
156C2×D4×C43C22×C4112yes—
157C2×D4×C43C22×C4112yes—
158C22×C4×C43—26no—
159C22×C4×C43—26no—
160C22×C4×C43—26no—
161C22×C4×C43—26no—
162C22×C4×C43—26no—
163C22×C4×C43—26no—
164C22×C4×C43—26no—
165C22×C4×C43—43no—
166C22×C4×C43—43no—
167C22×C4×C43—43no—
168C22×C4×C43C22×C4112yes—
169C22×C4×C43C22×C4112yes—
170C22×C4×C43C2411yescharacteristic
171C22×C4×C43C2413yes—
172C22×C4×C43C2411yescharacteristic
173C22×C4×C43C2413yes—
174C22×C4×C43C2413yes—
175C22×C4×C43C2411yescharacteristic
176C22×C4×C43C2411yescharacteristic
177C22×C4×C43C2413yes—
178C22×C4×C43C2413yes—
179C22×C4×C43C2411yescharacteristic
180C22×C4×C43C2413yes—
181C22×C4×C43C2411yescharacteristic
182C22×C4×C43C2413yes—
183C4⋊C4×C43—26no—
184C4⋊C4×C43—26no—
185C4⋊C4×C43—26no—
186C4⋊C4×C43—26no—
187C4⋊C4×C43—26no—
188C4⋊C4×C43—22no—
189C4⋊C4×C43—43no—
190C4⋊C4×C43—46no—
191C4⋊C4×C43C22×C4112yes—
192C4⋊C4×C43C22×C4112yes—
193C4⋊C4×C43C2×D4112yes—
194C22⋊C4×C43—26no—
195C22⋊C4×C43—22no—
196C22⋊C4×C43—212no—
197C22⋊C4×C43—22no—
198C22⋊C4×C43—43no—
199C22⋊C4×C43—46no—
200C22⋊C4×C43—43no—
201C22⋊C4×C43—43no—
202C22⋊C4×C43C22×C414yes—
203C22⋊C4×C43C22×C4112yes—
204C22⋊C4×C43C22×C4124yes—
205C42×C43—22no—
206C42×C43—26no—
207C42×C43—26no—
208C42×C43—212no—
209C42×C43—26no—
210C42×C43—26no—
211C42×C43—46no—
212C42×C43C22×C4112yes—
213C42×C43C2×D4112yes—
214C23×C43—21no—
215C23×C43—23no—
216C23×C43—21no—
217C23×C43—23no—
218C23×C43—21no—
219C23×C43—23no—
220C23×C43—21no—
221C23×C43—23no—
222C23×C43—23no—
223C23×C43—23no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43C23×C416yes—
227C23×C43C23×C412yes—
228C23×C43C2511yescharacteristic
229Q8×C43—224no—
230Q8×C43C4×D4116yes—
231D4×C43—224no—
232D4×C43—412no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—23no—
236C2×C4×C43—21no—
237C2×C4×C43—23no—
238C2×C4×C43—21no—
239C2×C4×C43—23no—
240C2×C4×C43—23no—
241C2×C4×C43—23no—
242C2×C4×C43—21no—
243C2×C4×C43—23no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—224no—
248C2×C4×C43—224no—
249C2×C4×C43—23no—
250C2×C4×C43—21no—
251C2×C4×C43—23no—
252C2×C4×C43—21no—
253C2×C4×C43—23no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—23no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—23no—
260C2×C4×C43—23no—
261C2×C4×C43—23no—
262C2×C4×C43—23no—
263C2×C4×C43—23no—
264C2×C4×C43—412no—
265C2×C4×C43—412no—
266C2×C4×C43C23×C412yes—
267C2×C4×C43C23×C416yes—
268C2×C4×C43C23×C416yes—
269C2×C4×C43C23×C412yes—
270C2×C4×C43C23×C416yes—
271C2×C4×C43C22×D416yes—
272C2×C4×C43C22×D412yes—
273C2×C4×C43C22×D416yes—
274C2×C4×C43C2×#4116yes—
275C2×C4×C432−1+412yes—
276#34293C4311yesmaximal, characteristic, direct product factor, Sylow
277C22×C43—22no—
278C22×C43—26no—
279C22×C43—26no—
280C22×C43—22no—
281C22×C43—22no—
282C22×C43—26no—
283C22×C43—41no—
284C22×C43—43no—
285C22×C43—41no—
286C22×C43—43no—
287C22×C43—41no—
288C22×C43—43no—
289C22×C43—41no—
290C22×C43—43no—
291C22×C43C24×C411yescharacteristic
292C22×C43C23×D411yescharacteristic
293C22×C43C22×#4111yescharacteristic
294C22×C43C2×2−1+411yescharacteristic
295C22×C43#58511yescharacteristic
296C22×C43#58511yescharacteristic
297C22×C43#58511yescharacteristic
298C4×C43—22no—
299C4×C43—26no—
300C4×C43—26no—
301C4×C43—22no—
302C4×C43—22no—
303C4×C43—22no—
304C4×C43—26no—
305C4×C43—43no—
306C4×C43—43no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—43no—
310C4×C43C2×C4×D4112yes—
311C2×#548C2×C4311yescharacteristic
312C2×#519C2×C4311yescharacteristic, complemented
313C2×C4×#41C2×C4311yescharacteristic, complemented
314#2367C2×C4313yescomplemented
315#2363C2×C4313yescomplemented
316#2362C2×C4313yescomplemented
317#2354C2×C4313yescomplemented
318Q8×C4⋊C4C2×C4311yescharacteristic, complemented
319#2341C2×C4311yescharacteristic, complemented
320Q8×C22⋊C4C2×C4311yescharacteristic, complemented
321#2326C2×C4313yescomplemented
322#2324C2×C4313yescomplemented
323C4×C22⋊Q8C2×C4313yescomplemented
324#2290C2×C4313yescomplemented
325#2276C2×C4311yescharacteristic, complemented
326C2×C43—42no—
327C2×C43—46no—
328C2×C43C22×C4×D411yescharacteristic
329C2×C43#342811yescharacteristic
330C2×C43C4×2−1+411yescharacteristic
331C2×C43#348711yescharacteristic
332C2×C43#348911yescharacteristic
333C2×C43#351811yescharacteristic
334C2×C43#352411yescharacteristic
335C22×#41C22×C4311yescharacteristic
336C23×Q8C22×C4311yescharacteristic
337#548C4×C43116yescomplemented
338C2×#124C22×C4313yes—
339C2×C22⋊Q8C22×C4313yes—
340C2×#121C22×C4313yes—
341#519—28no—
342C4×#41—28no—
343C2×C4×Q8C22×C4313yes—
344C2×C4×Q8C22×C4311yescharacteristic
345C2×C4×Q8C22×C4311yescharacteristic
346C2×C4×Q8C22×C4311yescharacteristic
347C2×C4×Q8C22×C4313yes—
348C2×C4×Q8C22×C4311yescharacteristic
349C2×C4×Q8C22×C4311yescharacteristic
350C2×C4×D4C22×C4313yes—
351C2×C4×D4C22×C4313yes—
352C2×C4×D4C22×C4313yes—
353C2×#117C22×C4313yes—
354C2×#117C22×C4313yes—
355C2×#117C22×C4313yes—
356C22×C42C22×C4313yes—
357#391C22×C4313yes—
358#391C22×C4313yes—
359#390C22×C4313yes—
360#390C22×C4316yes—
361#390C22×C4313yes—
362#389C22×C4313yes—
363#389C22×C4313yes—
364#388C22×C4316yes—
365#388C22×C4316yes—
366#388C22×C4316yes—
367#388C22×C4313yes—
368#388C22×C4311yescharacteristic
369#387C22×C4313yes—
370#387C22×C4313yes—
371#386C22×C4313yes—
372#386C22×C4313yes—
373#385C22×C4316yes—
374#385C22×C4313yes—
375#385C22×C4313yes—
376#384C22×C4313yes—
377#380C22×C4313yes—
378#380C22×C4313yes—
379C4×C4⋊C4C22×C4313yes—
380C4×C4⋊C4C22×C4313yes—
381C4×C4⋊C4C22×C4316yes—
382C4×C4⋊C4C22×C4313yes—
383C4×C4⋊C4C22×C4313yes—
384C4×C22⋊C4C22×C4313yes—
385C4×C22⋊C4C22×C4313yes—
386C4×C22⋊C4C22×C4316yes—
387#376C22×C4313yes—
388C43#3429311yescharacteristic, direct product factor, Sylow
389C2×#41—24no—
390C2×#41—24no—
391C2×#41C2×C4×C4318yes—
392C22×Q8—24no—
393C22×Q8—24no—
394C22×Q8C2×C4×C4318yescomplemented
395C22×Q8C23×C4313yes—
396C22×Q8C23×C4311yescharacteristic
397C22×D4C23×C4313yes—
398C22×D4C23×C4313yes—
399C23×C4C23×C4313yes—
400C23×C4C23×C4313yes—
401C23×C4C23×C4313yes—
402C23×C4C23×C4313yes—
403#124C2×C4×C43124yescomplemented
404C22⋊Q8C2×C4×C43124yescomplemented
405#121C2×C4×C43124yescomplemented
406C4×Q8—24no—
407C4×Q8—24no—
408C4×Q8—24no—
409C4×Q8—212no—
410C4×Q8—212no—
411C4×Q8C2×C4×C4318yescomplemented
412C4×Q8D4×C4318yescomplemented
413C4×D4—212no—
414C4×D4—212no—
415C4×D4C2×C4×C43124yescomplemented
416#117—212no—
417#117—212no—
418#117—212no—
419C2×C4⋊C4C23×C4313yes—
420C2×C4⋊C4C23×C4313yes—
421C2×C4⋊C4C23×C4313yes—
422C2×C4⋊C4C23×C4313yes—
423C2×C4⋊C4C23×C4313yes—
424C2×C4⋊C4C23×C4311yescharacteristic
425C2×C4⋊C4C23×C4313yes—
426C2×C4⋊C4C23×C4316yes—
427C2×C4⋊C4C23×C4313yes—
428C2×C4⋊C4C23×C4313yes—
429C2×C4⋊C4C23×C4313yes—
430C2×C22⋊C4C23×C4311yescharacteristic
431C2×C22⋊C4C23×C4313yes—
432C2×C22⋊C4C23×C4316yes—
433C2×C22⋊C4C23×C4311yescharacteristic
434C2×C22⋊C4C23×C4313yes—
435C2×C22⋊C4C23×C4316yes—
436C2×C22⋊C4C23×C4313yes—
437C2×C22⋊C4C23×C4313yes—
438C2×C22⋊C4C23×C4311yescharacteristic
439C2×C22⋊C4C23×C4313yes—
440C2×C22⋊C4C23×C4316yes—
441C2×C42—212no—
442C2×C42C23×C4313yes—
443C2×C42C23×C4316yes—
444C2×C42C23×C4313yes—
445C2×C42C23×C4313yes—
446C2×C42C23×C4313yes—
447C2×C42C23×C4311yescharacteristic
448C2×C42C23×C4316yes—
449C2×C42C23×C4313yes—
450C2×C42C23×C4313yes—
451#95C23×C4311yescharacteristic
452#95C23×C4313yes—
453#95C23×C4313yes—
454#95C23×C4313yes—
455#95C23×C4313yes—
456#95C23×C4311yescharacteristic
457#95C23×C4313yes—
458#95C23×C4313yes—
459#95C23×C4313yes—
460#95C23×C4316yes—
461#95C23×C4313yes—
462C24C24×C4311yescharacteristic
463C24C24×C4313yes—
464#41—232no—
465C2×Q8—232no—
466C2×Q8—26no—
467C2×Q8—26no—
468C2×Q8C22×C4×C43112yes—
469C2×Q8C22×C4×C4314yes—
470C2×Q8C2×D4×C4314yes—
471C2×Q8#41×C4314yes—
472C2×D4—26no—
473C2×D4—26no—
474C2×D4—43no—
475C2×D4—43no—
476C2×D4C22×C4×C43112yes—
477C2×D4C22×C4×C43112yes—
478C22×C4—26no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—26no—
482C22×C4—26no—
483C22×C4—26no—
484C22×C4—26no—
485C22×C4—43no—
486C22×C4—43no—
487C22×C4—43no—
488C22×C4C22×C4×C43112yes—
489C22×C4C22×C4×C43112yes—
490C22×C4C24×C4311yescharacteristic
491C22×C4C24×C4313yes—
492C22×C4C24×C4311yescharacteristic
493C22×C4C24×C4313yes—
494C22×C4C24×C4313yes—
495C22×C4C24×C4311yescharacteristic
496C22×C4C24×C4311yescharacteristic
497C22×C4C24×C4313yes—
498C22×C4C24×C4313yes—
499C22×C4C24×C4311yescharacteristic
500C22×C4C24×C4313yes—
501C22×C4C24×C4311yescharacteristic
502C22×C4C24×C4313yes—
503C4⋊C4—26no—
504C4⋊C4—26no—
505C4⋊C4—26no—
506C4⋊C4—26no—
507C4⋊C4—26no—
508C4⋊C4—22no—
509C4⋊C4—43no—
510C4⋊C4—46no—
511C4⋊C4C22×C4×C43112yes—
512C4⋊C4C22×C4×C43112yes—
513C4⋊C4C2×D4×C43112yes—
514C22⋊C4—26no—
515C22⋊C4—22no—
516C22⋊C4—212no—
517C22⋊C4—22no—
518C22⋊C4—43no—
519C22⋊C4—46no—
520C22⋊C4—43no—
521C22⋊C4—43no—
522C22⋊C4C22×C4×C4314yes—
523C22⋊C4C22×C4×C43112yes—
524C22⋊C4C22×C4×C43124yes—
525C42—22no—
526C42—26no—
527C42—26no—
528C42—212no—
529C42—26no—
530C42—26no—
531C42—46no—
532C42C22×C4×C43112yes—
533C42C2×D4×C43112yes—
534C23—21no—
535C23—23no—
536C23—21no—
537C23—23no—
538C23—21no—
539C23—23no—
540C23—21no—
541C23—23no—
542C23—23no—
543C23—23no—
544C23—21no—
545C23—21no—
546C23C23×C4×C4316yes—
547C23C23×C4×C4312yes—
548C23C25×C4311yescharacteristic
549Q8—224no—
550Q8C4×D4×C43116yes—
551D4—224no—
552D4—412no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—23no—
556C2×C4—21no—
557C2×C4—23no—
558C2×C4—21no—
559C2×C4—23no—
560C2×C4—23no—
561C2×C4—23no—
562C2×C4—21no—
563C2×C4—23no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—224no—
568C2×C4—224no—
569C2×C4—23no—
570C2×C4—21no—
571C2×C4—23no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—23no—
583C2×C4—23no—
584C2×C4—412no—
585C2×C4—412no—
586C2×C4C23×C4×C4312yes—
587C2×C4C23×C4×C4316yes—
588C2×C4C23×C4×C4316yes—
589C2×C4C23×C4×C4312yes—
590C2×C4C23×C4×C4316yes—
591C2×C4C22×D4×C4316yes—
592C2×C4C22×D4×C4312yes—
593C2×C4C22×D4×C4316yes—
594C2×C4C2×#41×C4316yes—
595C2×C42−1+4×C4312yes—
596C22—22no—
597C22—26no—
598C22—22no—
599C22—26no—
600C22—22no—
601C22—26no—
602C22—43no—
603C22—41no—
604C22—43no—
605C22—41no—
606C22—41no—
607C22—43no—
608C22—41no—
609C22—43no—
610C22C24×C4×C4311yescharacteristic
611C22C23×D4×C4311yescharacteristic
612C22C22×#41×C4311yescharacteristic
613C22C2×2−1+4×C4311yescharacteristic
614C22C43×#58511yescharacteristic
615C22C43×#58511yescharacteristic
616C22C43×#58511yescharacteristic
617C4—22no—
618C4—26no—
619C4—26no—
620C4—22no—
621C4—22no—
622C4—22no—
623C4—26no—
624C4—43no—
625C4—43no—
626C4—41no—
627C4—41no—
628C4—43no—
629C4C2×C4×D4×C43112yes—
630C2—42no—
631C2—46no—
632C2C22×C4×D4×C4311yescharacteristic
633C2C43×#342811yescharacteristic
634C2C4×2−1+4×C4311yescharacteristic
635C2C43×#348711yescharacteristic
636C2C43×#348911yescharacteristic
637C2C43×#351811yescharacteristic
638C2C43×#352411yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×C43×#548C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C43×#519C2semidirect
3. C2×C4×#41×C43C2semidirect
4. C43×#2367C2semidirect
5. C43×#2363C2semidirect
6. C43×#2362C2semidirect
7. C43×#2354C2semidirect
8. Q8×C4⋊C4×C43C2semidirect
9. C43×#2341C2semidirect
10. Q8×C22⋊C4×C43C2semidirect
11. C43×#2326C2semidirect
12. C43×#2324C2semidirect
13. C4×C22⋊Q8×C43C2semidirect
14. C43×#2290C2semidirect
15. C43×#2276C2semidirect
18. C43×#548C4semidirect
74. C22×Q8×C43C2×C4semidirect
83. #124×C43C2×C4semidirect
84. C22⋊Q8×C43C2×C4semidirect
85. #121×C43C2×C4semidirect
91. C4×Q8×C43C2×C4semidirect
92. C4×Q8×C43D4semidirect
95. C4×D4×C43C2×C4semidirect
276. #34293C43direct (N × H)
312. C2×#519C2×C43semidirect
313. C2×C4×#41C2×C43semidirect
314. #2367C2×C43semidirect
315. #2363C2×C43semidirect
316. #2362C2×C43semidirect
317. #2354C2×C43semidirect
318. Q8×C4⋊C4C2×C43semidirect
319. #2341C2×C43semidirect
320. Q8×C22⋊C4C2×C43semidirect
321. #2326C2×C43semidirect
322. #2324C2×C43semidirect
323. C4×C22⋊Q8C2×C43semidirect
324. #2290C2×C43semidirect
325. #2276C2×C43semidirect
337. #548C4×C43semidirect
388. C43#34293direct (N × H)
394. C22×Q8C2×C4×C43semidirect
403. #124C2×C4×C43semidirect
404. C22⋊Q8C2×C4×C43semidirect
405. #121C2×C4×C43semidirect
411. C4×Q8C2×C4×C43semidirect
412. C4×Q8D4×C43semidirect
415. C4×D4C2×C4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5482
C2×C43×#5192
C2×C4×#41×C432
C43×#23672
C43×#23632
C43×#23622
C43×#23542
Q8×C4⋊C4×C432
C43×#23412
Q8×C22⋊C4×C432
C43×#23262
C43×#23242
C4×C22⋊Q8×C432
C43×#22902
C43×#22762
#3429343