Finite Group Databasebeta

← #25256445

Subgroups — #25256445

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×#41×Dic43C211yesmaximal, characteristic, complemented
3C2×C4×#10621902C211yesmaximal, characteristic, complemented
4#19137656C213yesmaximal, complemented
5#19137638C213yesmaximal, complemented
6#19137631C213yesmaximal, complemented
7#19137539C213yesmaximal, complemented
8Q8×Dic43⋊C4C211yesmaximal, characteristic, complemented
9#19137433C211yesmaximal, characteristic, complemented
10#19137159C213yesmaximal, complemented
11#19137111C213yesmaximal, complemented
12#19137101C213yesmaximal, complemented
13C4×Q8×Dic43C211yesmaximal, characteristic, complemented
14C4×(C22⋊D43)⋊C4C213yesmaximal, complemented
15C43×#2341C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17#14583568C4116yescomplemented
18C2×#13063321C2213yes—
19C2×#13063299C2213yes—
20C2×#13063296C2213yes—
21#41×Dic43—28no—
22C4×#10621902—28no—
23C2×Q8×Dic43C2211yescharacteristic
24C2×Q8×Dic43C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×C4×D172C2213yes—
27C2×D4×Dic43C2213yes—
28C2×D4×Dic43C2213yes—
29C2×#13063287C2213yes—
30C2×C4×C22⋊D43C2213yes—
31C2×(C22⋊D43)⋊C4C2213yes—
32C2×(C22⋊D43)⋊C4C2213yes—
33C2×(C22⋊D43)⋊C4C2216yes—
34C2×#13063284C2213yes—
35C2×#13063283C2213yes—
36C22×C4×Dic43C2213yes—
37C2×C42×D43C2213yes—
38#14582801C2213yes—
39#14582800C2213yes—
40#14582799C2216yes—
41#14582799C2216yes—
42#14582797C2213yes—
43#14582795C2213yes—
44#14582793C2216yes—
45#14582788C2216yes—
46#14582776C2216yes—
47#14582775C2216yes—
48#14582768C2213yes—
49#14582756C2213yes—
50C4⋊C4×Dic43C2213yes—
51C4⋊C4×Dic43C2213yes—
52C4×Dic43⋊C4C2213yes—
53C4×C4⋊Dic43C2213yes—
54#14582750C2213yes—
55#14582750C2211yescharacteristic
56C22⋊C4×Dic43C2213yes—
57C22⋊C4×Dic43C2213yes—
58C4×(C2×D43)⋊C4C2213yes—
59#14582746C2213yes—
60#14582746C2213yes—
61C42×Dic43C2213yes—
62C22×#41×C43C2211yescharacteristic
63C2×C4×Q8×C43C2211yescharacteristic
64C2×C4×Q8×C43C2211yescharacteristic
65C43×#390C2213yes—
66C43×#390C2213yes—
67C43×#380C2213yes—
68C4×C22⋊C4×C43C2213yes—
69C2×#10621902—24no—
70C2×#10621902—24no—
71C2×#10621902C2×C418yescomplemented
72C22×D172C2313yes—
73C22×C22⋊D43C2313yes—
74C22×C22⋊D43C2316yes—
75C23×Dic43C2313yes—
76C23×Dic43C2313yes—
77C22×C4×D43C2313yes—
78C22×C4×D43C2313yes—
79C22×C4×D43C2313yes—
80#13063321C2×C4124yescomplemented
81#13063299C2×C4124yescomplemented
82#13063296C2×C4124yescomplemented
83Q8×Dic43—24no—
84Q8×Dic43C2×C418yescomplemented
85Q8×Dic43D418yescomplemented
86C4×D172—212no—
87D4×Dic43—212no—
88D4×Dic43—212no—
89#13063287—212no—
90C4×C22⋊D43C2×C4124yescomplemented
91(C22⋊D43)⋊C4—212no—
92(C22⋊D43)⋊C4—212no—
93(C22⋊D43)⋊C4—412no—
94#13063284—212no—
95#13063283—212no—
96C2×C4⋊Dic43C2313yes—
97C2×C4⋊Dic43C2313yes—
98C2×C4⋊Dic43C2313yes—
99C2×Dic43⋊C4C2313yes—
100C2×Dic43⋊C4C2316yes—
101C2×Dic43⋊C4C2311yescharacteristic
102C2×Dic43⋊C4C2311yescharacteristic
103C2×C22⋊Dic43C2316yes—
104C2×C22⋊Dic43C2313yes—
105C2×(C2×D43)⋊C4C2316yes—
106C2×(C2×D43)⋊C4C2313yes—
107C2×(C2×D43)⋊C4C2313yes—
108C2×(C2×D43)⋊C4C2316yes—
109C2×(C2×D43)⋊C4C2313yes—
110C2×C4×Dic43—212no—
111C2×C4×Dic43C2313yes—
112C2×C4×Dic43C2313yes—
113C2×C4×Dic43C2313yes—
114C2×C4×Dic43C2313yes—
115C2×C4×Dic43C2311yescharacteristic
116C2×C4×Dic43C2311yescharacteristic
117C2×C4×Dic43C2313yes—
118C2×C4×Dic43C2313yes—
119C2×C4×Dic43C2313yes—
120C2×C4×Dic43C2313yes—
121C2×C4×Dic43C2311yescharacteristic
122C42×D43—212no—
123C43⋊#95C2316yes—
124C43⋊#95C2313yes—
125C43⋊#95C2313yes—
126C43⋊#95C2313yes—
127C43⋊#95C2311yescharacteristic
128C2×#41×C43—24no—
129C2×#41×C43—24no—
130C2×#41×C43C2×C418yescomplemented
131C22×Q8×C43C2311yescharacteristic
132C22×D4×C43C2313yes—
133C23×C4×C43C2313yes—
134C4×Q8×C43—24no—
135C4×Q8×C43—24no—
136C2×C4⋊C4×C43C2313yes—
137C2×C4⋊C4×C43C2313yes—
138C2×C22⋊C4×C43C2313yes—
139C2×C22⋊C4×C43C2313yes—
140C2×C22⋊C4×C43C2316yes—
141C2×C42×C43C2313yes—
142C2×C42×C43C2313yes—
143#95×C43C2313yes—
144#95×C43C2311yescharacteristic
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×C43C22×C4112yes—
157C22×C4×C43C2413yes—
158C22×C4×C43C2413yes—
159C22×C4×C43C2411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C22×C4×C43C2413yes—
163C2×C22⋊D43—26no—
164C2×C22⋊D43—26no—
165C2×C22⋊D43—46no—
166C2×C22⋊D43—46no—
167C2×C22⋊D43C22×C4112yes—
168C2×C22⋊D43C22×C4124yes—
169C22×Dic43—26no—
170C22×Dic43—26no—
171C22×Dic43—26no—
172C22×Dic43—26no—
173C22×Dic43—26no—
174C22×Dic43—43no—
175C22×Dic43C2413yes—
176C22×Dic43C2411yescharacteristic
177C22×Dic43C2413yes—
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×C43—26no—
197C22⋊C4×C43—26no—
198C22⋊C4×C43—26no—
199C22⋊C4×C43—46no—
200C42×C43—26no—
201C42×C43—26no—
202C22⋊Dic43—212no—
203C22⋊Dic43C22×C4112yes—
204(C2×D43)⋊C4—26no—
205(C2×D43)⋊C4—212no—
206(C2×D43)⋊C4—26no—
207(C2×D43)⋊C4—46no—
208(C2×D43)⋊C4C22×C4112yes—
209C4⋊Dic43—26no—
210C4⋊Dic43C22×C4112yes—
211C4⋊Dic43C2×D4112yes—
212Dic43⋊C4—26no—
213Dic43⋊C4—46no—
214Dic43⋊C4C22×C414yes—
215Dic43⋊C4#4114yescomplemented
216C4×Dic43—26no—
217C4×Dic43—22no—
218C4×Dic43—26no—
219C4×Dic43—22no—
220C4×Dic43—26no—
221C4×Dic43—26no—
222C4×Dic43—26no—
223C4×Dic43—43no—
224C4×Dic43C22×C4112yes—
225C4×Dic43C2×D4112yes—
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—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—224no—
251C2×C4×C43—23no—
252C2×C4×C43—23no—
253C2×C4×C43—23no—
254C2×C4×C43—23no—
255C2×C4×C43—23no—
256C2×C4×C43—23no—
257C2×C4×C43C23×C412yes—
258C2×C4×C43C23×C416yes—
259C2×C4×C43C22×D416yes—
260C2×C4×C43C2×#4112yes—
261C2×C4×C43C2×#4112yes—
262C2×C4×C43C2×#4116yes—
263C22⋊D43—224no—
264C22⋊D43—424no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—23no—
268C2×Dic43—21no—
269C2×Dic43—23no—
270C2×Dic43—23no—
271C2×Dic43—23no—
272C2×Dic43—21no—
273C2×Dic43—23no—
274C2×Dic43—23no—
275C2×Dic43—23no—
276C2×Dic43—412no—
277C2×Dic43—412no—
278C2×Dic43C23×C416yes—
279C2×Dic43C23×C412yes—
280C2×Dic43C23×C412yes—
281C2×Dic43C22×D416yes—
282C2×Dic43C22×D412yes—
283C2×Dic43C2×#4112yes—
284C2×Dic43C2×#4112yes—
285C2×Dic43C2×#4112yes—
286C2×Dic43C2×#4112yes—
287C2×Dic43H(5,𝔽2)12yes—
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—22no—
316C4×C43—22no—
317C4×C43—43no—
318C4×C43—43no—
319C4×C43C2×C4×D4112yes—
320Dic43—22no—
321Dic43—26no—
322Dic43—26no—
323Dic43—22no—
324Dic43—43no—
325Dic43C4×#4114yescomplemented
326Dic43#55014yescomplemented
327C2×#550—431no—
328C2×C4×#41—431no—
329C2×C4×#41—431no—
330#2366—433no—
331#2363—433no—
332#2363—433no—
333#2354—433no—
334Q8×C4⋊C4—431no—
335#2341—431no—
336#2341D4311yescharacteristic, complemented
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—868no—
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—433no—
368C2×C4×D4—433no—
369C2×C4×D4—433no—
370C2×C4×D4—436no—
371C2×C4×D4—433no—
372C2×#117—433no—
373C2×#117—433no—
374C22×C42—433no—
375C22×C42—433no—
376#390—433no—
377#390—436no—
378#390—436no—
379#390—433no—
380#390C2×D4313yes—
381#390C2×D4313yes—
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#380C2×D4313yes—
391C4×C4⋊C4—433no—
392C4×C4⋊C4—433no—
393C4×C4⋊C4—433no—
394C4×C4⋊C4—433no—
395C4×C4⋊C4—433no—
396C4×C4⋊C4—431no—
397C4×C22⋊C4—433no—
398C4×C22⋊C4—433no—
399C4×C22⋊C4—433no—
400C4×C22⋊C4—433no—
401C4×C22⋊C4—433no—
402C4×C22⋊C4C2×D4313yes—
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×C4—433no—
420C23×C4—433no—
421C23×C4C22×D4313yes—
422#127—4324no—
423#121—4324no—
424#121—4324no—
425C4×Q8—24no—
426C4×Q8—24no—
427C4×Q8—438no—
428C4×Q8—438no—
429C4×Q8—864no—
430C4×D4—4324no—
431C4×D4—8612no—
432C4×D4—8612no—
433C4×D4—8612no—
434C4×D4—8612no—
435C4×D4—8612no—
436C4×D4—8612no—
437C4×D4—17212no—
438#117—8612no—
439#117—8612no—
440C2×C4⋊C4—433no—
441C2×C4⋊C4—431no—
442C2×C4⋊C4—431no—
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—436no—
452C2×C22⋊C4—436no—
453C2×C22⋊C4—433no—
454C2×C22⋊C4—433no—
455C2×C22⋊C4—436no—
456C2×C22⋊C4C22×D4313yes—
457C2×C22⋊C4C22×D4313yes—
458C2×C22⋊C4C22×D4316yes—
459C2×C42—431no—
460C2×C42—433no—
461C2×C42—433no—
462C2×C42—433no—
463C2×C42—433no—
464C2×C42—433no—
465C2×C42—433no—
466C2×C42—433no—
467C2×C42—431no—
468C2×C42—431no—
469C2×C42—433no—
470C2×C42—8612no—
471C2×C42—8612no—
472C2×C42C22×D4313yes—
473C2×C42C22×D4313yes—
474#95—431no—
475#95—433no—
476#95—433no—
477#95—433no—
478#95—436no—
479#95C22×D4311yescharacteristic
480#95C22×D4313yes—
481C24—433no—
482C24C23×D4313yes—
483#41—232no—
484#41—8632no—
485C2×Q8C2×C4×D4314yes—
486C2×Q8D4×D4314yes—
487C2×Q8#1062190014yes—
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—431no—
503C22×C4—431no—
504C22×C4—431no—
505C22×C4—431no—
506C22×C4—433no—
507C22×C4—433no—
508C22×C4—4312no—
509C22×C4—433no—
510C22×C4—866no—
511C22×C4—866no—
512C22×C4—866no—
513C22×C4—866no—
514C22×C4—866no—
515C22×C4—866no—
516C22×C4—866no—
517C22×C4—866no—
518C22×C4—866no—
519C22×C4—866no—
520C22×C4—866no—
521C22×C4—866no—
522C22×C4—1723no—
523C22×C4—1723no—
524C22×C4C2×C4×D43112yes—
525C22×C4C23×D4313yes—
526C22×C4C23×D4313yes—
527C22×C4C23×D4311yescharacteristic
528C22×C4C23×D4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530C22×C4C23×D4313yes—
531C4⋊C4—26no—
532C4⋊C4—26no—
533C4⋊C4—434no—
534C4⋊C4—4312no—
535C4⋊C4—4312no—
536C4⋊C4—434no—
537C4⋊C4—866no—
538C4⋊C4—866no—
539C4⋊C4—1726no—
540C22⋊C4—26no—
541C22⋊C4—26no—
542C22⋊C4—46no—
543C22⋊C4—4312no—
544C22⋊C4—4312no—
545C22⋊C4—8612no—
546C22⋊C4—866no—
547C22⋊C4—8612no—
548C22⋊C4—866no—
549C22⋊C4—1726no—
550C42—26no—
551C42—26no—
552C42—4312no—
553C42—4312no—
554C42—434no—
555C42—862no—
556C42—862no—
557C42—866no—
558C42—866no—
559C42—866no—
560C42—866no—
561C42—866no—
562C42—1723no—
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
578Q8(C22⋊D43)⋊C4116yescomplemented
579D4—224no—
580D4—8624no—
581D4—8624no—
582D4—17224no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—224no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—23no—
593C2×C4—23no—
594C2×C4—23no—
595C2×C4—23no—
596C2×C4—432no—
597C2×C4—432no—
598C2×C4—432no—
599C2×C4—432no—
600C2×C4—432no—
601C2×C4—432no—
602C2×C4—436no—
603C2×C4—432no—
604C2×C4—436no—
605C2×C4—432no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—863no—
609C2×C4—861no—
610C2×C4—863no—
611C2×C4—863no—
612C2×C4—863no—
613C2×C4—861no—
614C2×C4—8624no—
615C2×C4—863no—
616C2×C4—863no—
617C2×C4—863no—
618C2×C4—17212no—
619C2×C4—17212no—
620C2×C4—17212no—
621C2×C4—17212no—
622C2×C4C22×C4×D4312yes—
623C2×C4C22×C4×D4316yes—
624C2×C4C2×D4×D4316yes—
625C2×C4#41×D4312yes—
626C2×C4#41×D4312yes—
627C2×C4C2×#1062190016yes—
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
643C22C22×D4×D4311yescharacteristic
644C22C2×#41×D4311yescharacteristic
645C22C2×#41×D4311yescharacteristic
646C22C22×#1062190011yescharacteristic
647C22H(5,𝔽2)×D4311yescharacteristic
648C22#1458373611yescharacteristic
649C4—22no—
650C4—22no—
651C4—22no—
652C4—43no—
653C4—43no—
654C4—434no—
655C4—434no—
656C4—866no—
657C4—862no—
658C4—866no—
659C4—862no—
660C4—1723no—
661C4C2×(C22⋊D43)⋊C4112yes—
662C2—46no—
663C2—1726no—
664C2C22×(C22⋊D43)⋊C411yescharacteristic
665C2C4×#41×D4311yescharacteristic
666C2#1914780111yescharacteristic
667C2#550×D4311yescharacteristic
668C2#1914808411yescharacteristic
669C2#1914818511yescharacteristic
670C2#1914821811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2341C2
socle, cosocleC23×C43C25
prime radicalC2×#14583568C2
hypercenter#2341D43
hypocenterC43C4×#550
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×#41×Dic43C2semidirect
3. C2×C4×#10621902C2semidirect
4. #19137656C2semidirect
5. #19137638C2semidirect
6. #19137631C2semidirect
7. #19137539C2semidirect
8. Q8×Dic43⋊C4C2semidirect
9. #19137433C2semidirect
10. #19137159C2semidirect
11. #19137111C2semidirect
12. #19137101C2semidirect
13. C4×Q8×Dic43C2semidirect
14. C4×(C22⋊D43)⋊C4C2semidirect
15. C43×#2341C2semidirect
17. #14583568C4semidirect
71. C2×#10621902C2×C4semidirect
80. #13063321C2×C4semidirect
81. #13063299C2×C4semidirect
82. #13063296C2×C4semidirect
84. Q8×Dic43C2×C4semidirect
85. Q8×Dic43D4semidirect
90. C4×C22⋊D43C2×C4semidirect
130. C2×#41×C43C2×C4semidirect
215. Dic43⋊C4#41semidirect
226. C4×Dic43#41semidirect
242. Q8×C43C4×D4semidirect
325. Dic43C4×#41semidirect
326. Dic43#550semidirect
336. #2341D43semidirect
404. C43C4×#550semidirect
410. C2×#41C4×D43semidirect
578. Q8(C22⋊D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145835682
C2×#41×Dic432
C2×C4×#106219022
#191376562
#191376382
#191376312
#191375392
Q8×Dic43⋊C42
#191374332
#191371592
#191371112
#191371012
C4×Q8×Dic432
C4×(C22⋊D43)⋊C42
C43×#23412
C4×#55043