Finite Group Databasebeta

← C4×#14583568 #25256448

Subgroups — C4×#14583568 #25256448

Order 11008.

3420 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583568C211yesmaximal, characteristic
2C2×C4×#10621902C211yesmaximal, characteristic, complemented
3#19137657C213yesmaximal, complemented
4#19137633C213yesmaximal, complemented
5#19137629C213yesmaximal, complemented
6#19137545C213yesmaximal, complemented
7Q8×Dic43⋊C4C211yesmaximal, characteristic, complemented
8#19137436C211yesmaximal, characteristic, complemented
9#19137433C211yesmaximal, characteristic, complemented
10C4×#13063321C213yesmaximal, complemented
11C4×#13063299C213yesmaximal, complemented
12C4×#13063296C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C42×C22⋊D43C213yesmaximal, complemented
15C2×C4×#41×C43C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17#14583568C4116yesdirect product factor
18C2×#13063321C2213yes—
19C2×#13063299C2213yes—
20C2×#13063296C2213yes—
21C4×#10621902—28no—
22C2×Q8×Dic43C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×Q8×Dic43C2211yescharacteristic
25C2×C4×D172C2213yes—
26C2×#13063287C2213yes—
27C2×C4×C22⋊D43C2213yes—
28C2×C4×C22⋊D43C2213yes—
29C2×C4×C22⋊D43C2216yes—
30C2×C4×C22⋊D43C2213yes—
31C2×#13063283C2213yes—
32C2×C42×D43C2213yes—
33#14582802C2213yes—
34#14582802C2213yes—
35#14582801C2213yes—
36#14582800C2213yes—
37#14582799C2216yes—
38#14582799C2216yes—
39#14582797C2213yes—
40#14582795C2213yes—
41#14582790C2216yes—
42#14582787C2216yes—
43#14582778C2216yes—
44#14582775C2216yes—
45#14582768C2213yes—
46#14582759C2213yes—
47#14582756C2213yes—
48C4⋊C4×Dic43C2213yes—
49C4⋊C4×Dic43C2213yes—
50C4×Dic43⋊C4C2213yes—
51C4×Dic43⋊C4C2213yes—
52C4×Dic43⋊C4C2211yescharacteristic
53C4×C4⋊Dic43C2213yes—
54C4×(C2×D43)⋊C4C2213yes—
55C4×(C2×D43)⋊C4C2213yes—
56C4×(C2×D43)⋊C4C2213yes—
57C4×C22⋊Dic43C2213yes—
58C4×C22⋊Dic43C2213yes—
59C4×C22⋊Dic43C2213yes—
60C42×Dic43C2213yes—
61C22×#41×C43C2211yescharacteristic
62C4×#41×C43—28no—
63C2×C4×Q8×C43C2211yescharacteristic
64C2×C4×Q8×C43C2211yescharacteristic
65C2×C4×D4×C43C2213yes—
66C2×C4×D4×C43C2213yes—
67C2×#117×C43C2213yes—
68C22×C42×C43C2213yes—
69C2×#10621902—24no—
70C2×#10621902—24no—
71C2×#10621902C2×C418yescomplemented
72C22×D172C2313yes—
73C22×C22⋊D43C2313yes—
74C22×C22⋊D43C2316yes—
75C22×C4×D43C2313yes—
76C22×C4×D43C2313yes—
77C22×C4×D43C2313yes—
78#13063321C2×C4124yescomplemented
79#13063299C2×C4124yescomplemented
80#13063296C2×C4124yescomplemented
81Q8×Dic43—24no—
82Q8×Dic43—24no—
83Q8×Dic43C2×C418yescomplemented
84C4×D172—212no—
85#13063287—212no—
86C4×C22⋊D43—212no—
87C4×C22⋊D43—212no—
88C4×C22⋊D43—412no—
89C4×C22⋊D43C2×C4124yescomplemented
90#13063283—212no—
91C2×C4⋊Dic43C2313yes—
92C2×C4⋊Dic43C2313yes—
93C2×C4⋊Dic43C2313yes—
94C2×Dic43⋊C4C2313yes—
95C2×Dic43⋊C4C2316yes—
96C2×Dic43⋊C4C2311yescharacteristic
97C2×Dic43⋊C4C2311yescharacteristic
98C2×C22⋊Dic43C2313yes—
99C2×C22⋊Dic43C2313yes—
100C2×C22⋊Dic43C2316yes—
101C2×C22⋊Dic43C2313yes—
102C2×(C2×D43)⋊C4C2316yes—
103C2×(C2×D43)⋊C4C2313yes—
104C2×(C2×D43)⋊C4C2313yes—
105C2×(C2×D43)⋊C4C2316yes—
106C2×(C2×D43)⋊C4C2313yes—
107C2×C4×Dic43C2313yes—
108C2×C4×Dic43C2313yes—
109C2×C4×Dic43C2313yes—
110C2×C4×Dic43C2313yes—
111C2×C4×Dic43C2311yescharacteristic
112C2×C4×Dic43C2313yes—
113C2×C4×Dic43C2313yes—
114C2×C4×Dic43C2313yes—
115C2×C4×Dic43C2311yescharacteristic
116C42×D43—212no—
117C43⋊#95C2313yes—
118C43⋊#95C2316yes—
119C43⋊#95C2313yes—
120C43⋊#95C2313yes—
121C43⋊#95C2313yes—
122C43⋊#95C2311yescharacteristic
123C43⋊#95C2311yescharacteristic
124C2×#41×C43—24no—
125C2×#41×C43—24no—
126C2×#41×C43C2×C418yescomplemented
127C22×Q8×C43C2311yescharacteristic
128C22×D4×C43C2313yes—
129C23×C4×C43C2313yes—
130C23×C4×C43C2313yes—
131C23×C4×C43C2313yes—
132C4×Q8×C43—24no—
133C4×Q8×C43D418yescomplemented
134C4×D4×C43—212no—
135C4×D4×C43—212no—
136#117×C43—212no—
137C2×C4⋊C4×C43C2313yes—
138C2×C4⋊C4×C43C2313yes—
139C2×C22⋊C4×C43C2316yes—
140C2×C42×C43—212no—
141C2×C42×C43C2313yes—
142C2×C42×C43C2313yes—
143C2×C42×C43C2311yescharacteristic
144C2×C42×C43C2313yes—
145C24×C43C2413yes—
146C23×D43C2413yes—
147#41×C43—232no—
148C2×Q8×C43C22×C414yes—
149C2×Q8×C43C2×D414yes—
150C2×Q8×C43#4114yes—
151C2×D4×C43—26no—
152C2×D4×C43—26no—
153C2×D4×C43C22×C4112yes—
154C22×C4×C43—26no—
155C22×C4×C43—26no—
156C22×C4×C43—26no—
157C22×C4×C43—26no—
158C22×C4×C43—26no—
159C22×C4×C43—26no—
160C22×C4×C43—26no—
161C22×C4×C43—43no—
162C22×C4×C43C22×C4112yes—
163C22×C4×C43C2413yes—
164C22×C4×C43C2411yescharacteristic
165C22×C4×C43C2413yes—
166C22×C4×C43C2411yescharacteristic
167C22×C4×C43C2413yes—
168C22×C4×C43C2411yescharacteristic
169C2×C22⋊D43—26no—
170C2×C22⋊D43—26no—
171C2×C22⋊D43—46no—
172C2×C22⋊D43—46no—
173C2×C22⋊D43C22×C4112yes—
174C2×C22⋊D43C22×C4124yes—
175C22×Dic43C2413yes—
176C22×Dic43C2413yes—
177C22×Dic43C2411yescharacteristic
178C22×Dic43C2413yes—
179C22×Dic43C2411yescharacteristic
180C22×Dic43C2411yescharacteristic
181C22×Dic43C2411yescharacteristic
182#10621902—232no—
183C2×D172—26no—
184C2×D172—26no—
185C2×D172C22×C4112yes—
186C2×C4×D43—26no—
187C2×C4×D43—26no—
188C2×C4×D43—26no—
189C2×C4×D43—26no—
190C2×C4×D43—26no—
191C2×C4×D43—26no—
192C2×C4×D43—26no—
193C2×C4×D43—43no—
194C2×C4×D43C22×C4112yes—
195C4⋊C4×C43—26no—
196C4⋊C4×C43C2×D4112yes—
197C22⋊C4×C43—212no—
198C42×C43—22no—
199C42×C43—26no—
200C42×C43—26no—
201C42×C43C2×D4112yes—
202C22⋊Dic43—26no—
203C22⋊Dic43—26no—
204C22⋊Dic43—46no—
205C22⋊Dic43C22×C4112yes—
206(C2×D43)⋊C4—212no—
207(C2×D43)⋊C4—26no—
208(C2×D43)⋊C4—26no—
209(C2×D43)⋊C4—46no—
210(C2×D43)⋊C4C22×C4112yes—
211C4⋊Dic43—26no—
212C4⋊Dic43—26no—
213C4⋊Dic43C22×C4112yes—
214Dic43⋊C4—26no—
215Dic43⋊C4—46no—
216Dic43⋊C4C22×C414yes—
217Dic43⋊C4#4114yescomplemented
218C4×Dic43—22no—
219C4×Dic43—26no—
220C4×Dic43—26no—
221C4×Dic43—26no—
222C4×Dic43—26no—
223C4×Dic43—26no—
224C4×Dic43—43no—
225C4×Dic43C22×C4112yes—
226C4×Dic43#4114yescomplemented
227C23×C43—23no—
228C23×C43—23no—
229C23×C43—23no—
230C23×C43—23no—
231C23×C43—23no—
232C23×C43—23no—
233C23×C43C23×C416yes—
234C23×C43C2511yescharacteristic
235C22×D43—23no—
236C22×D43—23no—
237C22×D43—23no—
238C22×D43—23no—
239C22×D43—23no—
240C22×D43—23no—
241C22×D43C23×C416yes—
242Q8×C43C4×D4116yescomplemented
243D4×C43—224no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—23no—
247C2×C4×C43—21no—
248C2×C4×C43—23no—
249C2×C4×C43—21no—
250C2×C4×C43—224no—
251C2×C4×C43—23no—
252C2×C4×C43—23no—
253C2×C4×C43—23no—
254C2×C4×C43—412no—
255C2×C4×C43—412no—
256C2×C4×C43C23×C412yes—
257C2×C4×C43C23×C416yes—
258C2×C4×C43C22×D416yes—
259C2×C4×C43C22×D416yes—
260C2×C4×C43C22×D412yes—
261C2×C4×C43C2×#4112yes—
262C2×C4×C43C2×#4112yes—
263C2×C4×C43C2×#4116yes—
264C2×C4×C43H(5,𝔽2)12yes—
265C22⋊D43—224no—
266C22⋊D43—424no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—23no—
272C2×Dic43—21no—
273C2×Dic43—23no—
274C2×Dic43—21no—
275C2×Dic43—23no—
276C2×Dic43—23no—
277C2×Dic43—23no—
278C2×Dic43—23no—
279C2×Dic43—23no—
280C2×Dic43—23no—
281C2×Dic43C23×C416yes—
282C2×Dic43C23×C412yes—
283C2×Dic43C23×C412yes—
284C2×Dic43C2×#4112yes—
285C2×Dic43C2×#4112yes—
286C2×Dic43C2×#4112yes—
287C2×Dic43C2×#4112yes—
288D172—224no—
289C4×D43—224no—
290C4×D43—412no—
291C4×D43—412no—
292C4×#550—431nomaximal, Sylow
293C22×C43—26no—
294C22×C43—26no—
295C22×C43—26no—
296C22×C43—43no—
297C22×C43—43no—
298C22×C43—43no—
299C22×C43—43no—
300C22×C43C24×C411yescharacteristic
301C22×C43C23×D411yescharacteristic
302C22×C43C22×#4111yescharacteristic
303C22×C43C22×#4111yescharacteristic
304C22×C43C22×#4111yescharacteristic
305C22×C43C2×H(5,𝔽2)11yescharacteristic
306C22×C43#58511yescharacteristic
307C2×D43—26no—
308C2×D43—26no—
309C2×D43—26no—
310C2×D43—43no—
311C2×D43—43no—
312C2×D43—43no—
313C2×D43—43no—
314C4×C43—22no—
315C4×C43—26no—
316C4×C43—22no—
317C4×C43—43no—
318C4×C43C2×C4×D4112yes—
319C4×C43#55014yescomplemented
320Dic43—22no—
321Dic43—26no—
322Dic43—22no—
323Dic43—22no—
324Dic43—43no—
325Dic43—43no—
326Dic43C4×#4114yescomplemented
327C2×#550—431no—
328C2×C4×#41—431no—
329C2×C4×#41D4311yescharacteristic, complemented
330#2366—433no—
331#2363—433no—
332#2363—433no—
333#2354—433no—
334Q8×C4⋊C4—431no—
335#2341—431no—
336#2341—431no—
337C4×#127—433no—
338C4×#121—433no—
339C4×#121—433no—
340C42×Q8—431no—
341C42×D4—433no—
342C2×C43—46no—
343C2×C43C22×C4×D411yescharacteristic
344C2×C43C2×C4×#4111yescharacteristic
345C2×C43C4×H(5,𝔽2)11yescharacteristic
346C2×C43C2×#55011yescharacteristic
347C2×C43D4×#4111yescharacteristic
348C2×C43#348011yescharacteristic
349C2×C43#348311yescharacteristic
350D43—46no—
351C22×#41—431no—
352C22×#41C2×D4311yescharacteristic
353#550—4316no—
354C2×#127—433no—
355C2×#121—433no—
356C2×#121—433no—
357C4×#41—28no—
358C4×#41—868no—
359C2×C4×Q8—431no—
360C2×C4×Q8—431no—
361C2×C4×Q8—431no—
362C2×C4×Q8C2×D4311yescharacteristic
363C2×C4×Q8C2×D4311yescharacteristic
364C2×C4×D4—433no—
365C2×C4×D4—433no—
366C2×C4×D4—433no—
367C2×C4×D4—436no—
368C2×C4×D4—433no—
369C2×C4×D4—433no—
370C2×C4×D4C2×D4313yes—
371C2×C4×D4C2×D4313yes—
372C2×#117—433no—
373C2×#117C2×D4313yes—
374C22×C42—433no—
375C22×C42C2×D4313yes—
376#390—433no—
377#390—433no—
378#390—433no—
379#390—436no—
380#390—436no—
381#390—433no—
382#389—433no—
383#389—433no—
384#388—436no—
385#388—436no—
386#386—436no—
387#386—436no—
388#384—433no—
389#380—433no—
390#380—433no—
391C4×C4⋊C4—433no—
392C4×C4⋊C4—433no—
393C4×C4⋊C4—433no—
394C4×C4⋊C4—433no—
395C4×C4⋊C4—431no—
396C4×C4⋊C4—433no—
397C4×C22⋊C4—433no—
398C4×C22⋊C4—433no—
399C4×C22⋊C4—433no—
400C4×C22⋊C4—433no—
401C4×C22⋊C4—433no—
402C4×C22⋊C4—433no—
403C43—433no—
404C43C4×#55011yescharacteristic, complemented, Sylow
405C2×#41—24no—
406C2×#41—24no—
407C2×#41—438no—
408C2×#41—864no—
409C2×#41—864no—
410C2×#41C4×D4318yescomplemented
411C22×Q8C22×D4311yescharacteristic
412C22×D4—433no—
413C22×D4—436no—
414C22×D4—433no—
415C22×D4C22×D4313yes—
416C23×C4—433no—
417C23×C4—433no—
418C23×C4—433no—
419C23×C4C22×D4313yes—
420C23×C4C22×D4313yes—
421C23×C4C22×D4313yes—
422#127—4324no—
423#121—4324no—
424#121—4324no—
425C4×Q8—24no—
426C4×Q8—438no—
427C4×Q8—864no—
428C4×Q8—864no—
429C4×Q8C22⋊D4318yescomplemented
430C4×D4—212no—
431C4×D4—212no—
432C4×D4—4324no—
433C4×D4—8612no—
434C4×D4—8612no—
435C4×D4—8612no—
436C4×D4—8612no—
437C4×D4—17212no—
438#117—212no—
439#117—8612no—
440C2×C4⋊C4—431no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—433no—
443C2×C4⋊C4—433no—
444C2×C4⋊C4—433no—
445C2×C4⋊C4—433no—
446C2×C4⋊C4—436no—
447C2×C4⋊C4C22×D4313yes—
448C2×C4⋊C4C22×D4313yes—
449C2×C22⋊C4—433no—
450C2×C22⋊C4—433no—
451C2×C22⋊C4—433no—
452C2×C22⋊C4—433no—
453C2×C22⋊C4—436no—
454C2×C22⋊C4—433no—
455C2×C22⋊C4—433no—
456C2×C22⋊C4—436no—
457C2×C22⋊C4—436no—
458C2×C22⋊C4C22×D4316yes—
459C2×C42—212no—
460C2×C42—433no—
461C2×C42—431no—
462C2×C42—433no—
463C2×C42—433no—
464C2×C42—433no—
465C2×C42—433no—
466C2×C42—433no—
467C2×C42—431no—
468C2×C42—433no—
469C2×C42—8612no—
470C2×C42C22×D4313yes—
471C2×C42C22×D4313yes—
472C2×C42C22×D4311yescharacteristic
473C2×C42C22×D4313yes—
474#95—431no—
475#95—431no—
476#95—433no—
477#95—433no—
478#95—433no—
479#95—433no—
480#95—436no—
481C24—433no—
482C24C23×D4313yes—
483#41—232no—
484#41—8632no—
485C2×Q8C2×C4×D4314yes—
486C2×Q8#1062189814yes—
487C2×Q8C2×C22⋊D4314yes—
488C2×D4—26no—
489C2×D4—26no—
490C2×D4—4312no—
491C2×D4—4324no—
492C2×D4—4312no—
493C2×D4—866no—
494C2×D4—866no—
495C2×D4—866no—
496C2×D4—866no—
497C2×D4—1726no—
498C2×D4—1726no—
499C2×D4C2×C4×D43112yes—
500C22×C4—26no—
501C22×C4—26no—
502C22×C4—26no—
503C22×C4—26no—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—26no—
507C22×C4—43no—
508C22×C4—431no—
509C22×C4—431no—
510C22×C4—431no—
511C22×C4—433no—
512C22×C4—431no—
513C22×C4—4312no—
514C22×C4—433no—
515C22×C4—433no—
516C22×C4—866no—
517C22×C4—866no—
518C22×C4—866no—
519C22×C4—866no—
520C22×C4—866no—
521C22×C4—866no—
522C22×C4—866no—
523C22×C4—1723no—
524C22×C4C2×C4×D43112yes—
525C22×C4C23×D4313yes—
526C22×C4C23×D4311yescharacteristic
527C22×C4C23×D4313yes—
528C22×C4C23×D4311yescharacteristic
529C22×C4C23×D4313yes—
530C22×C4C23×D4311yescharacteristic
531C4⋊C4—26no—
532C4⋊C4—434no—
533C4⋊C4—4312no—
534C4⋊C4—434no—
535C4⋊C4—866no—
536C4⋊C4—866no—
537C4⋊C4—866no—
538C4⋊C4—1726no—
539C4⋊C4C2×C22⋊D43112yes—
540C22⋊C4—212no—
541C22⋊C4—4312no—
542C22⋊C4—4312no—
543C22⋊C4—866no—
544C22⋊C4—866no—
545C22⋊C4—866no—
546C22⋊C4—8612no—
547C22⋊C4—866no—
548C22⋊C4—1726no—
549C22⋊C4—1726no—
550C42—22no—
551C42—26no—
552C42—26no—
553C42—4312no—
554C42—434no—
555C42—866no—
556C42—862no—
557C42—866no—
558C42—866no—
559C42—866no—
560C42—866no—
561C42—1723no—
562C42C2×C22⋊D43112yes—
563C23—23no—
564C23—23no—
565C23—23no—
566C23—23no—
567C23—23no—
568C23—23no—
569C23—436no—
570C23—863no—
571C23—863no—
572C23—863no—
573C23—863no—
574C23—863no—
575C23—863no—
576C23C22×C4×D4316yes—
577C23C24×D4311yescharacteristic
578Q8C4×C22⋊D43116yescomplemented
579D4—224no—
580D4—8624no—
581D4—8624no—
582D4—17224no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—23no—
586C2×C4—21no—
587C2×C4—23no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—412no—
594C2×C4—412no—
595C2×C4—432no—
596C2×C4—432no—
597C2×C4—432no—
598C2×C4—436no—
599C2×C4—432no—
600C2×C4—432no—
601C2×C4—432no—
602C2×C4—861no—
603C2×C4—861no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—863no—
607C2×C4—861no—
608C2×C4—863no—
609C2×C4—861no—
610C2×C4—8624no—
611C2×C4—863no—
612C2×C4—863no—
613C2×C4—863no—
614C2×C4—863no—
615C2×C4—863no—
616C2×C4—863no—
617C2×C4—17212no—
618C2×C4—17212no—
619C2×C4C22×C4×D4312yes—
620C2×C4C22×C4×D4316yes—
621C2×C4C22×C22⋊D4316yes—
622C2×C4C22×C22⋊D4312yes—
623C2×C4C22×C22⋊D4316yes—
624C2×C4#41×D4312yes—
625C2×C4#41×D4312yes—
626C2×C4C2×#1062189816yes—
627C2×C4#1306337112yes—
628C22—26no—
629C22—26no—
630C22—26no—
631C22—43no—
632C22—43no—
633C22—43no—
634C22—43no—
635C22—866no—
636C22—866no—
637C22—866no—
638C22—1723no—
639C22—1723no—
640C22—1723no—
641C22—1723no—
642C22C23×C4×D4311yescharacteristic
643C22C23×C22⋊D4311yescharacteristic
644C22C2×#41×D4311yescharacteristic
645C22C2×#41×D4311yescharacteristic
646C22C22×#1062189811yescharacteristic
647C22C2×#1306337111yescharacteristic
648C22#1458373511yescharacteristic
649C4—22no—
650C4—26no—
651C4—22no—
652C4—43no—
653C4—434no—
654C4—866no—
655C4—862no—
656C4—862no—
657C4—862no—
658C4—1723no—
659C4—1723no—
660C4C2×C4×C22⋊D43112yes—
661C4#1458356814yesdirect product factor
662C2—46no—
663C2—1726no—
664C2C22×C4×C22⋊D4311yescharacteristic
665C2C4×#41×D4311yescharacteristic
666C2C4×#1306337111yescharacteristic
667C2C2×#1458356811yescharacteristic
668C2#41×C22⋊D4311yescharacteristic
669C2#1914819311yescharacteristic
670C2#1914822111yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C4×#41×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583568C2
hypercenterC2×C4×#41D43
hypocenterC43C4×#550
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621902C2semidirect
3. #19137657C2semidirect
4. #19137633C2semidirect
5. #19137629C2semidirect
6. #19137545C2semidirect
7. Q8×Dic43⋊C4C2semidirect
8. #19137436C2semidirect
9. #19137433C2semidirect
10. C4×#13063321C2semidirect
11. C4×#13063299C2semidirect
12. C4×#13063296C2semidirect
13. C4×Q8×Dic43C2semidirect
14. C42×C22⋊D43C2semidirect
15. C2×C4×#41×C43C2semidirect
17. #14583568C4direct (N × H)
71. C2×#10621902C2×C4semidirect
78. #13063321C2×C4semidirect
79. #13063299C2×C4semidirect
80. #13063296C2×C4semidirect
83. Q8×Dic43C2×C4semidirect
89. C4×C22⋊D43C2×C4semidirect
126. C2×#41×C43C2×C4semidirect
133. C4×Q8×C43D4semidirect
217. Dic43⋊C4#41semidirect
226. C4×Dic43#41semidirect
242. Q8×C43C4×D4semidirect
319. C4×C43#550semidirect
326. Dic43C4×#41semidirect
329. C2×C4×#41D43semidirect
404. C43C4×#550semidirect
410. C2×#41C4×D43semidirect
429. C4×Q8C22⋊D43semidirect
578. Q8C4×C22⋊D43semidirect
661. C4#14583568direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835682
C2×C4×#106219022
#191376572
#191376332
#191376292
#191375452
Q8×Dic43⋊C42
#191374362
#191374332
C4×#130633212
C4×#130632992
C4×#130632962
C4×Q8×Dic432
C42×C22⋊D432
C2×C4×#41×C432
C4×#55043